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Free Math Worksheets — Over 100k free practice problems on Khan Academy

Looking for free math worksheets.

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That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Just choose your grade level or topic to get access to 100% free practice questions:

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High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

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• Prepare for the 2020 AP®︎ Statistics Exam
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• AP Calculus AB solved free response questions from past exams
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Frequently Asked Questions about Khan Academy and Math Worksheets

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Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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What are teachers saying about Khan Academy’s interactive math worksheets?

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Is Khan Academy free?

Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

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What Is the Saville Wave Test?

The Saville Wave test is a personality questionnaire that comes in different versions to suit all sorts of job roles and levels of seniority.

Created by Saville Assessment, the Wave tests are designed to be the ‘best-in-class predictor of workplace performance and potential’.

They blend digital innovation and science to cover aspects of competency, potential, motivation, talent and preferred company culture in one short assessment.

The Wave tests are usually used in recruitment and selection, but they are also used for talent management and succession planning.

There are two main types of Wave tests used in recruitment:

• The Wave Focus Styles
• The Wave Professional Styles

It is becoming increasingly common for employers to ask potential new employees to complete a variety of assessments as part of their recruitment processes.

One example of this is the Thomas International PPA assessment , which is a personality test commonly used by employers who are looking for individuals with specific personality types or strengths in defined areas.

In this article, you’ll learn what the Thomas International PPA Test is, what you can expect if you are asked to take the assessment and how your test will be scored.

We have also included plenty of helpful tips and free Thomas International PPA sample test questions to help you prepare ahead of taking the Thomas PPA assessment.

The NWEA MAP Growth Test is used in thousands of schools across the US to assess children academically.

The test can be given three times in a school year and helps teachers to plan their lessons so that children can reach their potential and continue to grow throughout their time in education.

In this article, you will learn more about the different levels of the test and the way it is structured to suit different grades, what types of questions are on the tests and how best to prepare your child for success.

If your child is under the age of 12 and aims to get into a gifted school program, they will most likely be required to take the NNAT test to assess their skills.

If you know that your child is expected to take the exam, you can help them prepare for it by letting them know what to expect.

This article contains the most relevant information concerning the NNAT test, including its purpose, scoring system and levels.

You will also receive plenty of helpful tips on how to help your child prepare for the exam by completing a Naglieri Nonverbal Ability Test sample and working on their weaknesses in each question type.

The Hogan Business Reasoning Inventory (HBRI) is a scientifically-based aptitude test.

It is designed to assess cognitive ability and a candidate’s preferences for using qualitative and quantitative reasoning skills.

The HBRI is a popular tool for pre-employment screening, particularly in the management, sales and marketing sectors.

If you have been asked to take the HBRI, your test results will offer prospective employers insight into your decision-making skills, problem-solving abilities, approach to processing information and ability to learn from past experiences.

In this article, you can learn what to expect when taking the Hogan Business Reasoning Inventory HBRI test, see examples of the type of Hogan Business Reasoning Inventory questions you might be faced with and guidance on how to prepare for the assessment.

The MAP Kindergarten Test is a computer-adaptive test that measures your child’s progress throughout their academic career.

The grades K through 2 tests assess mathematics and reading abilities.

The results from these tests allow teachers to identify the gaps in your child’s knowledge and to better understand their ability to learn and retain information.

The MAP test is administered three times in the academic year to ensure your child’s progress is properly recorded.

The Ramsay Mechanical Aptitude Test is used as part of the pre-employment screening process for a number of roles in different industries.

It is an excellent indicator of how well you can learn on the job, as well as your ability to use basic physics principles and mechanical knowledge to solve problems.

In this article, you will learn more about which job roles require completion of the Ramsay MAT as part of the application process, and what different types of tests are available.

The format of the assessment, as well as the number of questions and the time limit, will also be discussed. You’ll also learn how the Ramsay MAT is scored and what happens next.

There will be example questions that are similar to those you are likely to find on the assessment, as well as some top tips for success.

The Saville assessments are used worldwide by companies during the recruitment process to assess a candidate’s suitability for a given role.

This series of tests measures numerical, verbal, spatial and abstract reasoning . You may also be assigned a situational judgement test and a personality questionnaire. Some roles may even require a mechanical reasoning test .

The SHL OPQ32 test is the flagship personality test from SHL.

Used by major organizations all over the world, it is considered to be one of the best psychometric assessment tools currently available on the market.

It is a trait-based personality test that is designed to gauge a candidate’s personality attributes and behavioral preferences in the workplace.

A candidate’s test results are analyzed by recruiters, helping them to decide whether a candidate is a good match for the job role they have applied for.

OLSAT stands for Otis-Lennon School Ability Test.

Children take the test to help schools decide admissions into their gifted-and-talented programs.

Preparing your children for taking the OLSAT is a good idea as it could determine their eligibility and acceptance to extra academic programs that are offered by their schools.

If you are looking for a career working with the emergency services, then becoming a 911 call handler and dispatcher might be just the role for you.

If you can handle working under pressure, helping the public and are able to deal with difficult and uncomfortable situations with a calm head, then you might have what it takes to be the first port of call in an emergency.

Becoming a 911 call handler and dispatcher means you will need to have some very specific skills and abilities, and as part of the recruitment process, you will have the opportunity to demonstrate your suitability by taking the CritiCall 911 dispatch test .

Used throughout the US for recruiting people for 911 roles, the CritiCall test does not assess your previous experience or your knowledge of the role.

Instead, it is designed to assess candidates on the inherent aptitudes that are needed to be successful in the role.

This article will discuss what the CritiCall test is assessing, the types of questions that you are likely to face and what the recruiters will be looking for.

There will be some example questions, as well as details about what mark you will need to achieve to pass the test.

Finally, there are some CritiCall test prep tips to help you prepare for the assessment and what to think about on the day.

The McQuaig Word Survey is a type of personality assessment.

Survey responses are used to measure a candidate’s key personality traits and compare these with how they are currently behaving in the workplace.

The results from the survey indicate whether a candidate is behaving naturally in their current role, or whether they are making changes to their behaviour.

This article will help you pass the McQuaig Word Survey assessment test by giving you all the tools and practice questions you will need.

The Caliper test is an assessment used by employers to gain a better understanding of a candidate’s personality traits, cognitive abilities and motivations.

The Caliper test is used to help employers predict a candidate's suitability for a role.

In this article, we'll take a detailed look at what the Caliper test is and how it is scored.

We’ll also share some tips on how you can perform at your best when taking your Caliper assessment test.

More and more employers are choosing to use psychometric testing as a part of their recruitment processes as it helps to highlight those candidates who are most likely to be suited to the roles they are looking to fill.

Employers will often use this form of testing when recruiting for mid-to-high level managerial roles or positions that require a specific set of skills.

Using the results of assessments, recruiters and employers are able to see the strengths and skills of individuals as well as being able to predict future performance.

One of the most popular options for psychometric testing is the Criteria Cognitive Aptitude test – more commonly known as the CCAT.

The Bennett Mechanical Comprehension Test (BMCT) , also referred to as the Bennett Mechanical Aptitude Test, is considered the most popular mechanical aptitude test.

However, it is also believed to be the hardest one to pass.

The BMCT requires you to have a knowledge and understanding of physical principles and answer 55 questions about the application of these concepts within 25 minutes.

You typically need to score in the top 20% of candidates to progress to the next stage of recruitment.

If you have applied for a job, apprenticeship or college course in the UK or Australia, you may have been asked to complete a Basic and Key Skills Builder or BKSB assessment) .

The initial BKSB assessment determines suitable applicants for an apprenticeship or places a student in the correct class level on a college course. The assessment tests you on your maths and English skills to identify areas that need improvement.

This guide will explain the BKSB assessment in detail, provide example questions, and answer your queries about the test content and format.

There are a variety of tests and assessments that can be used by companies for candidates applying for jobs.

One of those is the Thomas GIA Test .

This article will define what the Thomas GIA Test is and who it is for, in addition to looking at what the test involves, how it is scored and tips for the next chance to pass the test.

You will also find Thomas GIA test examples and explanations for each answer.

The IE Global Admissions Test (ieGAT) is an entrance exam for the IE University (IEU) in Spain.

It covers numerical , logical and verbal reasoning .

Not every IE program requires an ieGAT score. However, as the programs that do are highly competitive, those who take the ieGAT Test must prepare themselves to achieve the best score possible.

This article will help you understand:

• What the ieGAT is
• The structure
• ieGAT scoring
• How to register for the ieGAT
• The best ways to prepare

More and more companies are introducing psychometric testing as a part of their recruitment processes.

This means that, if you are considering changing careers or applying for a new role within your existing industry, you may need to take an assessment.

One of the most popular tests for corporate employers is the test by Sova Assessment .

The United States Postal Service (USPS) provides extensive career opportunities and seemingly endless possibilities for professional development.

However, anyone looking to work at the USPS must pass a Virtual Entry Assessment designed to find suitable applicants for the role they are trying to fill.

This article covers the Postal Exam 474 , including its main parts, how to pass it and how to prepare for the Virtual Entry Assessment.

Let's start by looking at what exactly the 474 Virtual Entry Assessment is.

Developed by Drs Joyce and Robert Hogan in the 1980s, the Hogan assessment is a collection of tests designed to assess personality traits, leadership skills and cognitive abilities.

The Hogan assessment is generally used as a pre-employment test for management roles.

This article will guide you through the online Hogan tests , provide a range of sample questions, discuss how the Hogan Assessment results are calculated and recommend ways that you can prepare to take the Hogan assessment yourself.

If you’ve recently applied for a managerial or executive role, you may have been asked to take a Saville Analysis Aptitude Test , also known as the Swift Aptitude test.

The Swift Analysis Aptitude Test was created by Saville Assessment, which is a huge name in the test publishing market.

The CAT4 cognitive ability test is an examination designed to measure a student’s academic progress.

When the CAT4 test is scored, teachers and parents will be given a summary of the academic potential of the student.

Any student taking the test will be asked questions that will measure their non-verbal reasoning abilities, verbal reasoning skills, quantitative reasoning abilities and spatial awareness .

In this article, you’ll learn more about what types of questions are asked to examine these skills.

The Korn Ferry Leadership Potential Assessment (KFALP) is used to test candidates to see if they have the potential to become leaders and managers.

It uses seven different categories, known as Seven Signposts, to assess potential leaders:

• Learning Agility
• Leadership Traits
• Derailment Risks

This article will examine the theory behind the assessment, the different topics that are tested and how the assessment is scored.

There will also be example questions so that you know what to expect when you take the KFALP and some tips to help you score as highly as possible when you take the test.

Pymetrics tests identify specific behavioral characteristics and traits.

This article examines why pymetrics tests are used and what to expect in your assessment.

Tips are included to help you get the best results.

The McQuaig Mental Agility Test (MMAT) is a 15-minute timed test that is designed to assess your ability to think quickly.

In this short test, you will face questions that will allow you to demonstrate your speed of thought and general mental agility, which are useful aptitudes when it comes to many jobs in different industries.

In this article, find out more about the structure of the test, the different types of McQuaig Mental Agility test questions and what to expect on the day. You’ll also get some mental agility practice test questions and top tips to help you be successful in the MMAT.

The Federal Bureau of Investigation (FBI) is responsible for the enforcement of federal law and the protection of national security in the US.

Working for the FBI can be highly stressful. As a special agent for the FBI, the working week is likely to be 50 hours or more.

Special agents must be willing to be based anywhere in the world. They are expected to carry a firearm and work in potentially dangerous situations.

With this in mind, the FBI has a rigorous application and selection process for potential new recruits. It can take more than 20 months to complete the entire process and commence employment with the FBI.

This guide to the USPS postal exam 955 will take you through the different sections of the test, including example questions, provide tips on how you can prepare for the exam and answer several frequently asked questions.

The USPS postal exam 955 is used to screen applicants for mechanic and technician positions , such as electronic technicians or motor vehicle mechanics. It also sometimes referred to as the postal maintenance 955 exam, USPS maintenance mechanic 955 test or the 955 maintenance exam.

It tests applicants’ suitability by assessing personal characteristics, work experience, and electronic and technical knowledge and skills.

The USPS postal exam 955 replaced the previous 931, 932 and 933 exams .

The USPS postal exam 955 is free of charge , but you will need access to the internet and an email address.

If you are looking to work in the United States Postal Service, you will need to pass the USPS Postal Exam 476.

The USPS Postal Exam 476 is an online test that screens for the best candidates. The exam is used to find suitable candidates for a range of positions, including mail processing clerk, data conversion operator and clerk-related positions.

This article will outline what the USPS Postal Exam 476 includes, with particular attention to the separate sections of the examination.

In addition to this, how the exam is scored and how you can best prepare for it will be covered. There will also be a list of frequently asked questions for you to refer to if you have any doubts.

A List of Amazon Assessment Tests Available for Practice in 2024

• Amazon Work Simulation Assessment
• Amazon Maintenance Technician Test
• Amazon Coding Assessment
• Amazon Workstyle Assessment
• Amazon Area Manager Assessment
• Amazon Operations Manager Assessment
• Amazon Online MBA Assessment
• Amazon RME Apprenticeship Skills Battery Test
• Amazon Financial Analyst Assessment
• Amazon ATA Technical Assessment
• Amazon Control Systems Technician Test
• Amazon Warehouse Assessment Test

The Amazon assessment test is an essential way for the corporation to find the best-suited employees.

It is a series of challenges used to evaluate all its candidates during the recruitment process.

Amazon online assessments typically include both numerical and verbal reasoning tests.

These types of tests examine a potential candidate’s logical skills.

Candidates will also have to sit work-style assessments that simulate the working environment at Amazon.

Other Amazon exams include:

• The Amazon coding assessment (also known as the Amazon SDE online assessment)
• The work sample simulation
• An Amazon versant test

These last two, amongst others, will be discussed later in this article.

This Amazon reviewer job article will also discuss how to pass the Amazon assessment tests, some Amazon assessment answers you should know and what you need to do to best prepare yourself.

There is also a comprehensive list of frequently asked questions from those who are interested in taking these Amazon job tests to find employment with the company.

What Is the SHL Verbal Reasoning Test?

The SHL Verbal Reasoning Test is a graduate-level and above pre-employment aptitude test that is used in graduate and management recruitment for many roles across different industries.

The test is usually taken online, and it is designed to evaluate candidates on their ability to understand written information and make informed, reasoned and logical decisions based on that information.

SHL is a well-established test publisher, providing tests for more than 10,000 companies around the world. It offers a range of tests, including psychometric, behavioural and personality assessments that are based in occupational psychology and aptitude science. 

The tests have specific aims – and recruitment teams use SHL tests like the Verbal Reasoning Test to filter through similarly qualified candidates to find the applicants who have what it takes to be successful in a graduate or management level role.

When taking a verbal reasoing test, bear in mind that you might also be asked to take numerical reasoning tests, logical reasoning tests or personality tests along side.

IQ stands for intelligence quotient and is usually thought to represent the reasoning skills of individuals.

The idea of intelligence relates to how quickly people can solve problems or puzzles, use logic to answer questions, or quickly recall information and facts they’ve heard.

The first type of IQ test was created by a French psychologist named Alfred Binet.

The assessment that he made is still used and is known as the Stanford-Binet intelligence test.

Considering cheating on your GMAT (Graduate Management Admission Test) Exam?

Want to know how to do it, if you should do it and what the consequences will be?

Well you came to the right place!

Read on to find out more about cheating on the GMAT exam, but be warned...

... it's certainly not something I advise!

Do you have an upcoming online aptitude test ? 

Are you looking for the best aptitude test prep material to give you the very best chance of getting the highest possible grade? 

If so, this article will help you. 

Aptitude tests are a crucial part of your job search, and you usually only have one chance to showcase your skills. 

Psychometric aptitude tests can measure many different aptitudes and skill sets, in many different formats:

• Numerical reasoning
• Verbal reasoning
• Diagrammatic or inductive reasoning
• Mechanical reasoning
• Personality types
• Situational judgement and work environment tests
• Work style tests

Aptitude tests can be challenging and it is important to be fully prepared before you attend your job interview or assessment centre.

Several free and paid aptitude test preparation websites offer preparation packs to help you score the best you can.

Those dreaming of working for the TSA will most likely need to take a challenging exam called the TSA CBT Test during the hiring process. Here we’ll look at exactly what it involves and how you can make sure you pass it. Read on to find out more.

If you plan to work as an inspector, manager, marshal or security officer in any agency governed by the Transportation Security Administration, you must pass the TSA CBT test as part of your application process.

Read on to learn more about this assessment, including its purpose, what types of questions it has, how challenging it is and how to prepare for it.

You'll also be provided with a few example questions to help you get an idea of what this test looks like.

Let’s get started.

Aptitude tests are administered to understand your inherent abilities to reason and respond to specific tasks.

They are widely used in various forms to screen candidates or evaluate existing employees for a future job role.

The most generic and widely used aptitude tests are curated to measure different facets of your abilities, mainly on the following areas:

• Abstract Reasoning
• Numerical Reasoning
• Logical Reasoning
• Verbal Reasoning
• Attention to Detail

Apart from these base types, there are various other specialized aptitude tests which you may face in specific industries or based on your role in different career stages.

We have discussed each of the most common job related aptitude tests in detail.

Illustrative examples and helpful hints are provided throughout to aid your preparation.

Read on to find out more.

The Cognify test is a game-based cognitive assessment designed to measure an individual's cognitive aptitude to measure key job performance linked abilities and skills in a prospective candidate.

The Cognify test was once a product of Revelian, an Australian assessment company, but was later acquired by CriteriaCorp.

Moving away completely from the question-answer based template of traditional tests, Cognify uses an innovative approach where candidates don't face a series of questions on a screen.

Instead, the Cognify Assessment comprises 6-7 timed game-based mini-tests categorized into three cognitive abilities categories:

• Problem-Solving
• Verbal Knowledge

Well, before you start raising your eyebrows at the mention of ‘game-based’ and dismiss it as just another fad, pay attention!

Cognify assessment is credited as having brought a paradigm shift in the field of psychometric testing.

Many Tier-I graduate recruiters globally have started using this assessment in their candidate selection process.

The train driver test is used to establish whether a candidate is suitable for work as a train driver. This unique suite of tests includes psychometric assessment tools such as:

• The Group Bourdon Test (GBT)
• Test of Everyday Attention (TEA-OCC)
• Adaptive Tachistoscopic Traffic Perception Test (ATAVT)
• Situational judgement tests
• Vigilance tests
• Written communication tests

What Is the Train Driver Test?

In most countries, you will need to sit the train driver online test if you want to work as a train driver. If you have been asked to sit the assessments, there is no train driver psychometric test cost associated with the train driver exam.

Working as a train driver is a challenging and demanding role. As a train driver, you must be able to ensure the safety of passengers at all times.

The UK’s train driving tests are some of the most challenging. As well as testing aptitude for the job role, they are used to assess whether candidates have the mental abilities to cope with the stress and demands of the job role.

The train driver test is used to establish whether a candidate is suitable for work as a train driver. The train driver test is a unique group of psychometric tests for train drivers designed to assess the psychomotor and cognitive skills needed to work safely as a train driver.

The Predictive Index (PI) test is a popular type of pre-employment testing used to accurately measure an individual’s cognitive ability and behavioral profile during the hiring process in a wide range of industries and organizations. They are most commonly used during the early stages of the recruitment process. 

The PI cognitive test assesses verbal, numerical and analytical reasoning ability. 

The PI behavioral test creates a behavioral persona that describes character traits and tendencies.

A mechanical aptitude reasoning test is an important way to assess your knowledge on mechanical topics for potential roles in the army, emergency services and many other professions. Here, you will get all the information you need on what a mechanical comprehension test is and how to pass it.

Those applying for jobs related to the army, the emergency services engineering service, and similar occupations that require mechanical aptitude, are likely to be asked to take a mechanical reasoning test as part of the recruitment process.

Mechanical aptitude tests assess knowledge in electricity, optics, pressure and other fields of mechanics related to a specific industry.

From this article, you'll learn what mechanical reasoning tests look like, when to take them, what to expect from these assessment types, and how to practise and prepare for them.

Let’s get started!

If you would like to take a free practice Cognitive Ability Test before reading this article, click here .

If you would like to purchase an online Cognitive Ability Test prep pack, visit our partner website TestHQ .

The following tests are common cognitive ability tests:

• Spatial Reasoning
• Mechanical Reasoning
• Logical Ability Tests
• Space Visualization
• Information Processing
• Visual Pursuit
• Manual Speed and Accuracy

Spacial Reasoning Definition

A spatial awareness test is a type of assessment that tests your ability to think in three dimensions and use your imagination to see movement through space.

Someone with good spatial awareness will be able to see in their mind how different shapes interact and be able to manipulate them to make a reasoned and logical decision.

The test is based on pictures, diagrams and shapes. You will need to mentally manipulate the presented image by disassembling or reassembling, rotating, seeing it in a mirror image or from different angles, or otherwise visualizing it differently to find the right answer to the question from the multiple-choice options provided.

Spatial awareness is something that we use to a greater or lesser degree every day, from understanding our position relative to other things around us to imagining the route we will take to get from one place to another.

Spatial reasoning tests are distinct from other similar assessments such as diagrammatic reasoning tests and abstract reasoning tests. It is important to understand how they differ as they are often included in aptitude tests and cognitive assessments alongside spatial reasoning tests.

Psychometric tests are often used by organizations as part of the recruitment process. Different types of psychometric tests are designed to measure various aspects of cognitive ability, reasoning capabilities and personality traits. Potential employers use the results to assess a candidate’s suitability for a role. A psychometric test is generally administered online; this helps hiring managers filter applicants quickly and easily. 

Are you considering cheating on your upcoming SHL tests ?

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Numerical Reasoning Tests can be very tricky.

And when it comes to results, preparation and practice are key.

But that's easier said than done.

If you're researching this type of aptitude test for the first time or if you want to improve your numerical ability , perform better on tests and get more job offers this article will provide some practical strategies that you can use immediately .

For the best chance of success, read the article below slowly, work through the example questions , follow our tips and actionable advice and then start taking practice tests .

Ready to get started?

Let's go!...

Want to try a practice test before reading this article?

You can take our free numerical test right here:

The in tray exercise (also called an e-tray exercise ) is a popular assessment activity which employers use to evaluate the skills of applicants in a workplace situation.

If you have an In Tray exercise coming up as part of your interview process, this article will help you prepare.

Within these exercises, candidates will be presented with a given scenario, along with a set of tasks to complete which may include things like responding to email messages, reports or briefing documents.

What Is a Situational Judgment Test?

A situational judgement test (SJT) is a psychometric test that is often used as part of the recruitment process for graduate and managerial positions as well as roles that are customer-facing in a wide range of industries.

The SJT is designed to assess how a candidate deals with work-related problems and situations, focusing on essential aptitudes , competencies and soft skills that are not always easy to evaluate in other ways.

Although SJTs are usually bespoke to the company (or in some cases, the specific role), they tend to follow the same basic structure.

Each question is formed by presenting a fictional yet realistic work-based scenario. This might be text-based, it may include some illustrations or it could be animated or acted out in a video.

Following the scenario, there will be several options that you can choose from, each giving a possible course of action to follow to solve the issue that is presented in the situation given.

The answer that you choose will be compared to the benchmark answers that the recruitment team is using – these represent the core competencies for the role, as well as alignment with company values.

SHL assessment tests are important steps in many job interviews and career advancement opportunities. Therefore, it is essential to have a comprehensive understanding of how the different types of SHL tests work and how you can prepare for them in order to get top scores.

In this article, we will provide an overview of how SHL assessments work, sample SHL test questions, tips on improving your test performance, and strategies for prepping and succeeding with any SHL test.

What Is an SHL Assessment Test?

SHL is a global assessment company that is well known and recognised as a leader in pre-employment psychometric tests; the tests that SHL publishes are used by 75% of the FTSE 100 and they are available in more than 40 languages.

So if you are applying for a new role (especially for a graduate position), you are likely to come across them in the recruitment process.

In addition, the company offers consultancy and management services via its TalentCentral platform.

The SHL assessment are a series of tests that can be delivered individually or in a battery, and some of them are bespoke to the company that is using them, making them an excellent way for the recruitment team to ensure that the applicants for a role have the basic competencies, personality traits, work behaviours and cognitive abilities to be successful.

Sind Sie auf der Suche nach kostenlosen psychometrischen Tests zur Übung?

Dann ist diese Seite genau das Richtige für Sie.

Was ist ein psychometrischer Test?

Psychometrische Tests (auch Eignungstests genannt) sind fester Bestandteil von Jobinterviews vieler Unternehmen auf der ganzen Welt.

Diese Tests bestehen normalerweise aus einer Reihe von zeitlich erfassten Fragen , die meist numerischen (mathematischen Fragen), verbalen (Fragen zum Leseverständnis) oder logischen (diagrammatischen Fragen) Ursprungs sind.

Testes psicométricos (também conhecidos como testes de aptidão) são uma parte comum do processo de entrevistas de emprego em muitas companhias no mundo todo.

Geralmente, esses testes consistem de uma série de questões com um certo tempo de resposta.

As questões costumam ser numéricas (questões matemáticas), verbais (compreensão textual) ou lógicas (questões de diagrama).

Testes SHL . Se você está lendo isso, há uma boa chance de você ter acabado de descobrir que fará um desses testes difíceis como parte de um processo de recrutamento em andamento.

Se você chegou tão longe e agora está se sentindo tenso para se sentar na frente de um ‘abstract quiz’, não se preocupe...

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El Razonamiento Inductivo está basado en patrones y es otra variante de las muchas pruebas psicométricas utilizadas por los empleadores como una forma de determinar la idoneidad de un candidato para sus roles.

En un nivel similar al del razonamiento esquemático , el razonamiento inductivo probará tu habilidad para aplicar la lógica y la razón para la resolución de problemas.

Cómo funcionan las pruebas inductivas

Dentro de la prueba se te presentará una serie de diagramas los cuales se vincularán mediante una regla subyacente.

Esta regla afectará el diseño del diagrama y tu tarea será identificar el patrón.

Bonificación: puedes obtener acceso ilimitado y gratuito a la práctica de prueba (durante 30 minutos) en nuestro sitio web asociado JobTestPrep: Clic aquí .

Por lo general, se espera que los candidatos seleccionen entre 4 y 6 posibles respuestas completas bajo condiciones de tiempo.

Las pruebas de razonamiento inductivo a menudo complementan otras pruebas como las de razonamiento verbal o numérico.

A veces las empresas requieren que complete una prueba de juicio situacional o un cuestionario de personalidad junto con la evaluación de razonamiento inductivo.

Los resultados de cada prueba se revisarán individualmente y luego colectivamente para determinar si tú serías una buena opción para la empresa.

¿Por qué los empleadores utilizan estas pruebas?

Algunas veces se las denomina prueba de razonamiento abstracto, las evaluaciones de razonamiento inductivo están diseñadas para evaluar tus habilidades en la resolución de problemas y el razonamiento lógico.

Cuando completes la prueba, los reclutadores buscarán tu capacidad para trabajar de manera efectiva con información desconocida para alcanzar una solución viable.

Las pruebas se utilizan a menudo para evaluar tu capacidad de pensar creativamente, aplicar habilidades analíticas y diseñar soluciones innovadoras, mientras que a menudo son un indicador de tu nivel general de inteligencia.

Como tal, es esencial que realices el trabajo preparatorio necesario antes de la prueba real para asegurarte de poder completarla exitosamente y crear una buena impresión.

La prueba de razonamiento inductivo es frecuentemente usada por empleadores corporativos; es común esperar que se complete al menos una prueba psicométrica como parte del proceso de reclutamiento.

Los empleadores utilizarán estas pruebas para ver la eficacia con la que trabajas bajo presión y tu enfoque de la evaluación.

Las pruebas de razonamiento inductivo son usadas predominantemente en los roles técnicos o aquellos que requieren una resolución frecuente de problemas y los empleadores las utilizan para evaluar cómo identificas patrones, con qué eficacia puedes identificar reglas y consistencias de datos y si puedes predecir la secuencia de objetos a medida que evolucionan.

En términos de evaluación psicométrica, el razonamiento inductivo, el razonamiento abstracto y el razonamiento esquemático son tres pruebas que a menudo se superponen con la evaluación. Los proveedores utilizan nombres diferentes para cada uno, lo que hace que las cosas sean un poco más confusas.

Estas pruebas ciertamente varían entre los empleadores y la etapa en el proceso de reclutamiento también será diferente.

Algunas empresas los utilizan como un ejercicio de selección previa a la entrevista para limitar un conjunto de candidatos, mientras que otras organizaciones pueden usarlos hacia el final del proceso de reclutamiento o como parte de los días de evaluación.

Contenido de la prueba de Razonamiento Inductivo

La mayoría de las pruebas de razonamiento inductivo presentan una serie de secuencia de palabras, ilustraciones o formas y te piden que decidas cuál es la siguiente.

Esto requiere prestar atención a los detalles, a la resolución de problemas y perseverancia para alcanzar la respuesta requerida, todo lo cual se evalúa en condiciones de tiempo, lo que agrega aún más presión.

La prueba en sí misma requerirá que compares varios elementos incluyendo colores y formas, o que los clasifiques basándote en cantidad o tamaño.

Como un ejemplo, se te proporcionará un juego de seis cuadros conteniendo una cantidad de formas y luego se te pedirá que elabores una secuencia lógica para cada cuadro.

Para obtener la respuesta correcta, deberías identificar un patrón tal como similitudes, diferencias o una combinación de ambos.

Estas tareas pueden parecer extremadamente complejas, por ello es importante realizar tantas prácticas de pruebas similares como sea posible antes de la prueba real y también tanta práctica como puedas antes de la entrevista o del día de evaluación.

Asegúrate de llegar a tiempo y haber dormido bien la noche anterior, de lo contrario, es posible que te falte la concentración y que parezca que no entiendes lo que te piden que hagas.

Una aproximación a las Pruebas de Razonamiento Inductivo

Cuando comienzas la prueba, lee la pregunta detenidamente y trata de observar solamente a un elemento de la forma a la vez.

Es muy fácil sentirse abrumado por el contenido de una evaluación de razonamiento inductivo, por lo que la mejor manera de abordarla es intentar y decidir el patrón, considerando específicamente el tamaño, la orientación y la ubicación de la forma interior.

Los patrones están diseñados para ser complicados en tomarte el tiempo y utilizar tu lógica para resolver el problema.

Si estás teniendo una particular dificultad en identificar un patrón, trata de observarlo desde el final en lugar del principio.

Esto puede resaltar de manera efectiva algo que quizás hayas omitido usando el método tradicional de revisar las formas.

Toma conciencia de la hora pero no mires el reloj, y no te asustes en la medida de lo posible; esto sólo hará las cosas más difíciles.

Las pruebas de razonamiento inductivo son creadas para ser completadas bajo presión, por lo que la práctica de completar las pruebas en condiciones de tiempo puede ayudar de manera significativa.

Practicar es una de las mejores maneras de prepararte mentalmente para cualquier prueba psicométrica y el razonamiento inductivo no es diferente a ello.

Nada te preparará mejor para la evaluación que realizar una cantidad de exámenes de práctica, muchos de las cuales puedes encontrar en línea gratuitamente.

Cuando te familiarizas con el formato de la prueba y te acostumbras a responder preguntas rápidamente y trabajar bajo presión, es mucho más probable que tengas éxito que si no realizas ningún trabajo de preparación o práctica anteriormente.

¿Qué son las pruebas psicométricas?

Las pruebas psicométricas (también conocidas como Pruebas de Aptitud ) son ahora una parte común de los procesos de selección y evanotluación, por lo tanto un requisito necesario para solicitar trabajo.

Si tú aún no has completado una, es muy probable que lo necesites en algún momento en el futuro. Con esto en mente, hemos preparado para ti la Guía actual para las pruebas psicométricas para explicar qué son, cómo se utilizan y cómo completarlas con éxito.

Antes de comenzar con el artículo a continuación, ten en cuenta que tenemos tres pruebas psicométricas de práctica disponibles para que las pruebes.

Las pruebas de razonamiento verbal están diseñadas para examinar tu nivel de comprensión del pasaje de un texto.

Estas pruebas son un ejemplo de una prueba de habilidad (a veces conocida como pruebas de aptitud) y son utilizadas por los empleadores en combinación con pruebas de razonamiento numérico y pruebas de razonamiento lógico .

Las pruebas de razonamiento verbal tienen como objetivo identificar tu capacidad máxima de comprensión, o en otras palabras, el párrafo de un texto más desafiante que tú podrás entender.

Numerische Tests können knifflig sein. Übung und die richtige Vorbereitung sind der Schlüssel zum Erfolg.

Aber das ist leichter gesagt als getan…

Wenn Du zum ersten Mal über diese Tests nachliest oder wenn Du nach Wegen suchst um deine Fähigkeiten zu verbessern, besser abzuschneiden und mehr Interviews und Jobangebote zu bekommen, ist dieser Artikel ideal für Dich.

Hier erfährst Du von Strategien die Du sofort praktisch einsetzen kannst.

Falls du einen Übungstest machen möchtest kannst du hier jederzeit einen der kostenlosen numerischen Tests ausprobieren. Dieser Test beinhaltet zehn Fragen (mit Antworten und ausführlichen Erklärungen).

Wie kann man sein Ergebnis so schnell und effektiv wie möglich verbessern , selbst bis in der 99% Bereich ?

Lies den Artikel am besten langsam durch, folge unseren Tipps und unseren Empfehlungen – so hast du die größten Erfolgschancen. Wenn du damit fertig bist kannst du einen unserer Übungstests kostenlos ausprobieren.

Bonus: Kostenloser uneingeschränkter Zugang zum Eignungs-Übungstest (für 30 Minuten) auf unserer Partner-Webseite JobTestPrep.

Microsoft is one of the world's most commonly used computer software.

If you're working in an office, you are almost certain to use applications such as Microsoft Word, Excel, Outlook or PowerPoint.

Therefore, it makes perfect sense that employers want to know that you are proficient in these applications as part of their hiring process.

If your job requires data analysis or compiling data streams, you will likely need to be adept at using Microsoft Excel.

In these circumstances, you may be asked to participate in an Excel assessment test so a hiring manager can confirm that you know how to make the most out of the program.

With this in mind, we will look at what you could expect from a Microsoft Excel test.

Then, we'll take you through a series of Microsoft Excel practice test questions, and we'll give you everything you need to know so you can prepare for the Excel assessment.

What Is a Cubiks Test?

The Cubiks tests were developed by the Cubiks assessment consultancy, which was founded in 2000.

In 2019, Cubiks was acquired by PSI Talent Management UK, an award-winning provider of psychometric assessments.

In 2022, PSI Services became Talogy.

Cubiks tests are available in more than 50 countries around the world. Many highly-regarded employers in the UK use Cubiks tests, including:

• The UK Civil Service
• National Audit Office
• National Health Service

Cubiks tests are designed to help employers and organisations with recruitment, employee development and talent management. They are well known for their intuitive interface and easy-to-interpret structure.

When applying for job roles, you may be asked to complete one or more types of Cubiks test as part of the screening and selection process.

If you are already working, your employer might ask you to sit a Cubiks test assessment as part of the career development programme or talent management process.

This article offers an overview of what to expect from the Cubiks test. It also includes some Cubiks online test example questions and tips on how to succeed when taking the Cubiks test.

The Korn Ferry assessment is a tool used in the recruiting process for leadership positions.

The tests assess candidates across a range of skills, including:

• Logic reasoning ability
• Numerical reasoning ability
• Verbal reasoning ability
• Personality traits

As a result, the Korn Ferry assessment allows businesses to secure the best talent and identify individuals to be promoted to management positions.

The Korn Ferry assessment is an evaluation tool used by companies across the globe to ensure they employ the best talent.

The assessment comprises a series of smaller tests focusing on:

• Reading comprehension
• Personality
• Leadership assessments

As well as a tool utilized during the interview process, the Korn Ferry assessments are often used when looking to promote team members into management positions.

This article will discuss the Korn Ferry assessment, explaining exactly what it involves and giving tips to enable the best chance of success.

If you are applying for an executive-level or management role, you might be expected to take an aptitude test as part of the recruitment process.

The Swift Executive Aptitude Test is a short assessment designed to measure specific aptitudes that are necessary for success in a leadership position.

In this article, you will discover more about the test, the structure of the assessment, and example questions.

You will also learn what you will need to bear in mind to be successful in the test, including tips about preparation and a breakdown of what to expect from the scoring.

This numerical reasoning practice test has 10 questions.

The test has a mixture of numerical questions that vary in difficulty. 

Answers and full explanations are provided after you have completed a question.  You should aim to complete the test within 10 minutes.

Make sure you read and fully understand each question before answering. Work quickly, but don't rush. You cannot afford to make mistakes on a real test.

What is a Verbal Reasoning Test?

A Verbal Reasoning Test is a type of cognitive assessment designed to evaluate an individual's ability to comprehend and analyze written information, make logical deductions and draw conclusions based on the presented text.

These tests are often used in various educational and employment settings to assess a person's verbal reasoning skills, which are essential for tasks that involve understanding and interpreting written or spoken language.

This inductive reasoning practice test has nine questions (and includes answers and full explanations).

This abstract reasoning practice test has 10 questions (and answers with full explanations).

For each question, choose which of the figures in the bottom line – A, B, C, D or E – completes the series in the top line.

The level of difficulty varies significantly, from easy to extremely hard. Items having the solution based on one rule are easy, while those with the solution based on four rules are extremely hard; the others are in between - medium and hard, respectively.

Your goal is to understand the logic of each question (the rules behind it). Do not despair if you can’t find the solution immediately, especially for the very hard questions!

What is a Cognitive Test?

A cognitive test is an assessment tool designed to measure an individual's cognitive abilities, which are the mental processes involved in acquiring, processing, storing and using information.

Cognitive assessments are used to evaluate various aspects of cognitive functioning, including memory, attention, problem-solving, reasoning, language comprehension, and more.

Cognitive function tests are commonly employed in several contexts, including education, clinical psychology, neuropsychology and employment assessment.

This cognitive ability practice test has been designed to help you prepare for the real thing.  

What Is a Deductive Reasoning Test?

A deductive reasoning test is a type of cognitive assessment that measures a person's ability to draw logical conclusions based on given information or premises.

Deductive reasoning is a form of logical thinking that involves moving from general statements or principles to specific conclusions. In other words, it is the process of applying a general rule or premise to a specific situation to determine a particular outcome.

In a deductive reasoning test, you are typically presented with a set of premises or statements that establish certain conditions or facts. You are then asked to use these premises to determine a valid conclusion.

The conclusions you reach must follow logically from the given premises, and the test assesses your ability to make accurate deductions based on the provided information.

Deductive reasoning tests are often used in educational settings, as part of standardized testing, and in various employment assessments.

They are designed to evaluate an individual's problem-solving skills, critical thinking ability, and their capacity to analyze information and reach logical conclusions.

These tests can take various formats, including multiple-choice questions, true or false questions or scenario-based questions where you need to determine the correct outcome based on the information provided.

Success in deductive reasoning tests often requires a strong understanding of logical principles and the ability to apply them effectively to specific situations.

What is Logical Reasoning?

Logical reasoning, often referred to as logical thinking or critical thinking, is a cognitive process that involves the ability to analyze information, identify patterns, make sound judgments and draw valid conclusions.

It is a fundamental skill that plays a crucial role in problem-solving, decision-making and rational thinking.

Logical reasoning involves breaking down complex information or situations into smaller, more manageable parts. It requires examining details and understanding the relationships between various elements.

What are the Types of Logical Reasoning Tests?

Logical reasoning tests come in various forms and are used by employers, educational institutions, and standardized testing organizations to assess an individual's ability to think critically and solve problems.

Here are some common types of logical reasoning tests:

• Verbal Reasoning Tests

Reading Comprehension: These tests assess your ability to understand and analyze written information, make inferences, and draw conclusions from passages of text.

Critical Thinking Tests: These tests evaluate your ability to analyze and evaluate arguments, identify assumptions, and assess the validity of statements or claims.

Analogical Reasoning Tests: Analogical reasoning involves recognizing relationships between words or concepts and applying these relationships to solve problems. For example, you might be asked to complete an analogy like "A is to B as C is to what?"

• Numerical Reasoning Tests

Numerical Computation: These tests assess your basic arithmetic skills, including addition, subtraction, multiplication, and division.

Numerical Sequences: These tests require you to identify patterns and relationships within number sequences and use them to predict the next number.

Data Interpretation: In these tests, you are presented with data in the form of tables, graphs, or charts, and you must interpret the information to answer questions.

• Abstract Reasoning Tests

Non-Verbal Reasoning: Abstract reasoning tests evaluate your ability to recognize patterns, shapes, and relationships among visual elements. They often involve series of diagrams or figures, and you must identify the logical rules governing them.

Inductive Reasoning: Inductive reasoning tests present you with a series of visual or abstract patterns and require you to identify the underlying rules and predict the next pattern in the sequence.

• Spatial Reasoning Tests

Spatial Awareness: These tests measure your ability to visualize and manipulate objects in three-dimensional space. You may be asked to complete puzzles, identify rotated or mirrored images, or solve spatial problems. Diagrammatic Reasoning Tests:

Diagram Interpretation: Diagrammatic reasoning tests use diagrams or symbols to present problems. You must analyze the diagrams to draw conclusions or identify patterns.

Syllogism and Logic Tests

Syllogisms: Syllogism tests present logical statements and ask you to determine whether a conclusion is valid based on the given premises.

Symbolic Logic: These tests involve working with formal logic symbols to evaluate logical arguments.

Inference and Deduction Tests

Inference Tests: Inference tests assess your ability to make logical deductions and draw conclusions based on a set of statements or information.

Deductive Reasoning: Deductive reasoning tests require you to apply deductive logic principles to solve problems and make decisions.

• Mechanical Reasoning Tests

Mechanical Understanding: These tests evaluate your knowledge of mechanical and physical concepts, such as gears, pulleys, levers, and basic physics principles.

• Cognitive Ability Tests

Cognitive Ability Tests: These assessments often include a combination of various reasoning types and are designed to measure overall cognitive abilities.

What are the Common Logic Tests Employers Use?

Employers often use a variety of logic tests to assess the cognitive abilities and problem-solving skills of job applicants. The specific logic tests used can vary depending on the nature of the job and the industry.

Here are some common logic tests that employers may use during the hiring process:

• Logical Deduction and Syllogism Tests
• Data Interpretation Tests
• Diagrammatic Reasoning Tests

This is a 10 question practice logical reasoning test . 

After you have given an answer to a question, the correct answer (and a full explanation of that answer) will be given.

What are the Topics Covered by a Logical Reasoning Test?

Syllogism, statements and assumptions, logical deduction, cause and effect, statements and conclusions, logical problems.

Set of 10 questions, along with correct answers and explanations for each.

Topics Covered:

General concepts, levers, springs, pulleys, area and volume, gears, inclined plane, basic electrical circuitry.

Difficulty Level:

Take a free practice mechanical reasoning test.

Situational awareness, evaluation of alternatives.

Take a Free Practice Situational Judgement Test

Block counting, 3D rotation, 2D rotation, reflection, broken shapes, transforming 2D to 3D, isometric view, difference in 2D versus 3D viewing.

What Is the Watson Glaser Critical Thinking Test?

The Watson-Glaser Critical Thinking Test, often referred to as the Watson-Glaser test, is a widely used assessment tool designed to evaluate an individual's critical thinking skills.

It is commonly administered as part of the hiring process for various professional and managerial positions, particularly in fields where critical thinking and problem-solving abilities are highly valued, such as law, finance and management.

This is a nine question diagrammatic reasoning practice test.

We recommend a time limit of nine minutes for this test. 

After you have given your answer to a question, you will be shown the correct answer and given a full explanation.

What is the Critical Thinking Test?

The Critical Thinking Test is a comprehensive evaluation designed to assess individuals' cognitive capacities and analytical prowess.

This formal examination, often referred to as the critical thinking assessment, is a benchmark for those aiming to demonstrate their proficiency in discernment and problem-solving.

In addition, this evaluative tool meticulously gauges a range of skills, including logical reasoning, analytical thinking, and the ability to evaluate and synthesize information.

This article will embark on an exploration of the Critical Thinking Test, elucidating its intricacies and elucidating its paramount importance. We will dissect the essential skills it measures and clarify its significance in gauging one's intellectual aptitude.

We will examine examples of critical thinking questions, illuminating the challenging scenarios that candidates encounter prompting them to navigate the complexities of thought with finesse.

Critical Thinking Practice Test

Before going ahead to take the critical thinking test, let's delve into the realm of preparation. This segment serves as a crucible for honing the skills assessed in the actual examination, offering candidates a chance to refine their analytical blades before facing the real challenge. Here are some skills that will help you with the critical thinking assessment: Logical Reasoning: The practice test meticulously evaluates your ability to deduce conclusions from given information, assess the validity of arguments, and recognize patterns in logic. Analytical Thinking: Prepare to dissect complex scenarios, identify key components, and synthesize information to draw insightful conclusions—a fundamental aspect of the critical thinking assessment. Problem-Solving Proficiency: Navigate through intricate problems that mirror real-world challenges, honing your capacity to approach issues systematically and derive effective solutions. What to Expect: The Critical Thinking Practice Test is crafted to mirror the format and complexity of the actual examination. Expect a series of scenarios, each accompanied by a set of questions that demand thoughtful analysis and logical deduction. These scenarios span diverse fields, from business and science to everyday scenarios, ensuring a comprehensive evaluation of your critical thinking skills. Examples of Critical Thinking Questions Scenario: In a business context, analyze the potential impacts of a proposed strategy on both short-term profitability and long-term sustainability. Question: What factors would you consider in determining the viability of the proposed strategy, and how might it affect the company's overall success? Scenario: Evaluate conflicting scientific studies on a pressing environmental issue.

Question: Identify the key methodologies and data points in each study. How would you reconcile the disparities to form an informed, unbiased conclusion?

Why Practice Matters

Engaging in the Critical Thinking Practice Test familiarizes you with the test format and cultivates a mindset geared towards agile and astute reasoning. This preparatory phase allows you to refine your cognitive toolkit, ensuring you approach the assessment with confidence and finesse.

We'll navigate through specific examples as we proceed, offering insights into effective strategies for tackling critical thinking questions. Prepare to embark on a journey of intellectual sharpening, where each practice question refines your analytical prowess for the challenges ahead.

This is a three question practice in-tray exercise.

If you get a question wrong, make sure you find out why and learn how to answer this type of question in the future. 

Take a Free Practice In-Tray Exercise

Talent Q is a popular psychometric test provider used by employers worldwide to identify and develop top talent.

There are several test types published under the Talent Q name including numerical, verbal and logical reasoning, error checking, situational judgement tests and personality questionnaires.

Talent Q tests can be blended into custom assessments to suit a wide range of roles at varying levels of employment.

What Is the Talent Q Test?

The Talent Q test , or Talent Q assessment, is a term that refers to a collection of aptitude, performance and personality tests administered by the global consulting group, Korn Ferry.

Talent Q tests span five areas of assessment:

• Cognitive ability
• Competencies
• Situational judgement
• Motivations

They are commonly used to evaluate a candidate’s skills and job readiness in the early stages of recruitment.

Employers may also use a Talent Q psychometric test when looking to promote internally or to inform employee development.

Talent Q tests are increasingly popular with a range of employers because of the way they are designed, offering test flexibility and a reliable indicator of an applicant’s full potential.

Which Companies Use the Talent Q Test?

Talent Q tests are used by an increasing number of organizations due to their accuracy, versatility and reliability. Some of the major global employers known to make use of the Talent Q test library include:

• Virgin Atlantic
• Royal Mail Group
• Lloyds Banking Group
• AstraZeneca

What Is the PwC Assessment Test?

When you apply for a coveted role at PwC, you will be asked to undertake a PwC assessment test as part of the recruitment process.

The PwC test are used to evaluate candidates on measurable skills, abilities, aptitudes and personality traits that are needed for success in the type (and level) of the role that you have applied for.

PwC is one of the Big Four accounting firms globally, and from their headquarters in London, England, they have offices in 157 countries, a presence in 742 locations, and they currently employ nearly 300,000 staff.

With roles available in various departments, from consulting to legal, operations to audit, and tax to technology, competition for advertised jobs is fierce, and the PwC assessments are recognised as being particularly challenging to help narrow down the candidate pool to those applicants who really have what it takes to be successful.

In fact, less than 50% of candidates will advance past the screening tests as the benchmark for a passing mark is very high.

'AON assessments' are the new name for the cut-e tests, and they are often used as pre-employment evaluations for different skills, aptitudes, competencies and personality traits for various roles across different industries.

The AON assessments are characterized by being very short online assessment tests, and in many cases, candidates will be required to take more than one as part of a recruitment process.

With so much content to cover in all the different types of tests, it can be difficult to know what to expect from the AON assessments, which is where this guide will help.

Below you will learn more about why AON assessments are used and which companies use them as part of their hiring process.

We will discuss some of the features that the assessments have in common, as well as the most popular tests that are used by recruiters.

There will be some example questions with answers to get you familiar with the type of content you will be facing in certain tests and some helpful information regarding the way the AON assessments are scored and how you can give yourself the best chance to demonstrate that you have what it takes to be successful.

What Is the AON Assessment Test?

AON is well-known as a global financial services firm, and they acquired the cut-e testing battery so that they can provide top-of-the-range candidate evaluation and personnel development tools based on a scientific framework and testing methodology.

The CogAT Grade 4 test is used to understand a student’s thinking and reasoning abilities. It is not a test of learned knowledge; rather, it is a diagnosis of how they learn.

The 4th Grade CogAT test measures reasoning ability in three key areas: verbal, non-verbal and quantitative.

The assessment is often used to identify students for gifted and talented education programs.

If your child has been selected to sit the CogAT test in 4th grade, it can be confusing to know what to do to help.

This article will help you to answer these questions:

• What is the CogAT test ?
• What skills is the test assessing?
• What is the format of the test?
• How can I help my child prepare?
• What skills can we practice?
• What is the scoring system?

When applying for a job application, you may find that, along with providing your CV and attending an interview, you will be required to complete an IKM assessment .

This assessment will serve as a supplement to your overall application. So, you must understand what it entails and how it contributes to your application.

This article will explain the specifics of the IKM assessment, why it is important and how you can prepare for it.

What Is IKM?

The International Knowledge Measurement Service (IKM) offers organizations various assessments for employees and candidates among various career disciplines.

Among other things, this assessment ensures that employees hold the necessary requirements to go through the organization’s recruitment process.

Employee candidates will take the IKM assessment online remotely (self-supervised) or with client-side supervision from the organization.

The IKM assessment uses adaptive testing, meaning the difficulty of questions is dynamically selected based on the employee candidate’s previous answers .

This ensures that the assessment questions are neither too difficult nor too easy, greatly reducing the testing time.

The CAT4 Level D is a cognitive ability test used by a number of UK secondary schools. Typically taken by pupils in Year 7, the CAT4 Level D tests a child’s verbal, non-verbal, quantitative and spatial reasoning skills to give an accurate picture of their learning potential.

The Delta Assessment Test is a group of online tests that forms part of the Delta Airlines hiring process.

If you are applying for job roles with Delta, you may be asked to complete one or more of the Delta Assessment Tests.

Your test results will help the hiring manager to decide whether you are suitable for the job role you have applied for.

The tests you are asked to take will vary according to the job role.

The Deloitte immersive online assessment is a psychometric aptitude-style test. It is used to identify a candidate’s strengths and weaknesses.

Questions vary but are likely to include situational judgment style questions that link to the roles at Deloitte.

Candidates are also tested on their numerical reasoning and presented with personality questions.

Competition is tough for jobs on the Crossover recruitment platform.

There are thousands of applicants for each role, and only the top 1% are offered a contract .

After a successful initial application, the first step is taking the Crossover Cognitive Aptitude Test (CCAT).

To help you prepare, this article covers the following:

• How Crossover works
• The recruitment process
• What to expect in the CCAT
• The scoring system
• Tips to help you prepare

The Federal Bureau of Investigation (FBI) is the domestic intelligence and security service of the USA.

The agency investigates serious offenses such as terrorism, public corruption, cyber-attacks, and violent and organized crime.

The FBI's mission is to protect the American people and uphold the American Constitution.

The FBI has over 37,000 employees across hundreds of locations in the US.

To work for the FBI, you must fulfill specific criteria which include:

• Be a US citizen
• Be able to obtain an FBI Top Secret clearance
• Pass the FBI polygraph examination
• Pass the FBI Phase 1 test
• Adhere to the FBI drug policy

Roles available at the FBI include computer scientists, nurses, engineers, technicians, contract specialists, and of course, police officers.

It is important to note that the recruitment process can take over one year, so you must be willing to wait several months for the chance of your dream role.

In this FBI Phase 1 test prep guide, we will delve into the role of FBI special agents – upholders of the law that seek out cybercrime and infiltrate organized attacks such as terrorism.

When applying to be a special agent, you are required to take the FBI Phase 1 test .

What Is the FBI Phase 1 Test?

The FBI Phase 1 test is an assessment that evaluates your personality and suitability for a role as a Special Agent at the FBI.

The test is conducted online and is split into five parts.

As the second stage of the process, the FBI Phase 1 test is done after the successful completion of a written application.

The test is designed to assess several skills and qualities that are required for a role as an FBI special agent.

These include critical thinking, logical reasoning and personality. The test will also assess your background experiences.

Your answers are then compared to the benchmark of what is suitable for an FBI agent.

The five sections of the FBI Phase 1 test are:

• Logical reasoning
• Figural reasoning
• Personality Test
• Preferences and interests
• Situational responses

The assessment takes three hours to complete.

When applying for roles at the FBI, long waiting times are typical. The full special agent recruitment process can take over 20 months to complete.

If this is your dream job, it is certainly worth the wait as it is one of the most attractive career paths within any government agency.

To reflect this, the recruitment process is challenging and designed to reduce the number of candidates who could move on to the next stage.

This ensures that only the very best move through the application phases. In fact, only 30% of candidates can pass the FBI Phase 1 test.

You may have taken a personality test before, but the FBI Phase 1 test questions are framed and marked in a different way to other assessments.

Therefore, you should ensure you use FBI Phase 1 test practice questions and prepare in advance of the test.

It can be hard to plan for, but this is essential to get into the top 30% of successful candidates.

If you pass the FBI Phase 1 test, you will undergo background checks and receive an invitation to a regional meet-and-greet interview.

The main purpose of the CogAT Test grade 3 is to find out if a third grader is showing signs of being very smart.

Most of the questions on the test are about verbal, numerical and non-verbal reasoning. It's meant to show how a child might compare to other kids his or her own age. The CogAT grade 3 test can also be used to make individualized learning plans for kids.

The CogAT (Cognitive Abilities Test) is a standardized test used to measure children's cognitive abilities in the 3rd grade – age 9.

This test assesses a range of cognitive abilities, including verbal, quantitative and nonverbal reasoning. The CogAT is often used to identify gifted children and help educators develop appropriate educational plans.

This article will give insights and tips into how your child could pass the CogAT Test for 3rd grade students.

The MAP Test 2nd grade is a computerized test taken by children in the 2nd grade. It is designed to evaluate what the children already know and what they are ready to learn.

The test includes three sections:

Schools may not administer all three sections and may instead focus on one or two sections to measure pupils’ progress in those subjects.

The NEO Personality Inventory is a psychometric tool used to evaluate personality traits.

It is acknowledged globally and is used by recruiters and employers before hiring and, more broadly, to evaluate career potential.

The NEO Personality Inventory test is heavily associated with the 'Five-Factor Model' (which you may also know as the 'Big Five Personality Test') to identify personality traits.

It is widely believed that each person's personality can be broken down into five main categories. The NEO PI personality test looks at each of these five categories separately to create an understanding of who you are.

In this article, we'll look at the NEO PI test, why employers use it, and what you could expect if invited to participate in a NEO Personality Inventory test.

The Air Traffic Controller (ATC) Test, also known as the Air Traffic Skills Assessment (ATSA) is an exam used as part of the air traffic controller hiring process. It is a challenging assessment consisting of seven subtests designed to evaluate an applicant's aptitude for the role.

Becoming an air traffic controller is a challenging and rewarding career that requires extensive training. The Air Traffic Controller Test (previously known as the Air Traffic Selection and Training (AT-SAT) exam) is an important part of the selection process. 

The Air Traffic Skills Assessment (ATSA) measures a candidate's ability to handle the demands of the job. 

In this article, you’ll find example questions, a guide and tips for preparing for the ATSA exam.

This article relates specifically to the ATC test used in the US. Candidates in other countries may be expected to take a different version of the test. 

What is the CliftonStrengths test? This online assessment analyzes your personality and strengths for personal and professional development. You can purchase the basic test from Gallup for $19.99 and get a basic understanding of your top five personality themes. Or take the comprehensive version for $59.99 and receive a report that ranks all 34 themes and highlights your areas of excellence as well as your blind spots.

When applying for a job, you may find that the recruitment process consists of many different steps. There is the initial application form to start and usually an interview to finish. In the middle, there may be an assessment – an aptitude, intelligence or personality test.

The CliftonStrengths test is one assessment used by employers during the onboarding process. It was previously known as the CliftonStrengthsFinder.

In this guide, you will learn about the CliftonStrengths personality test and how it is used in recruitment.

The police psychological exam is a crucial part of the hiring process for law enforcement agencies. It is a personality test that confirms how suitable an applicant is for working in the police. The police psych test is used by most law enforcement agencies across the United States, although key details may differ from state to state.

What Is the Police Psychological Exam?

The police psychological exam is a series of tests and assessments administered to individuals who are seeking to become police officers.

The purpose of the exam is to evaluate a candidate's psychological fitness for the job and identify any potential psychological issues that may interfere with the candidate's ability to perform police work.

In this comprehensive guide , you’ll discover everything you need to know about the Capital One assessment and interview process.

These are designed to help the company select the best candidates for its team. To increase your chance of getting hired, it's important to be prepared.

Find out what to expect, how to prepare and the skills and qualities Capital One hiring managers are looking for in a candidate.

What Is the Capital One Assessment Test?

Capital One is an established financial services company with a focus on technology and innovation.

To become an employee, or ‘associate’, at Capital One you'll need to pass a series of online assessments and interviews .

The Capital One hiring process is as follows:

CogAT stands for Cognitive Abilities Test. These tests are normally administered by a classroom teacher or instructor, although some schools employ a specialist or test proctor to administer the test.

Many parents are interested in learning more about helping their children to succeed academically.

Achieving a high CogAT score could mean your child is eligible to join gifted or talented programs designed to enhance their development and learning.

In other schools, it is used as a tool to identify a pupil’s individual strengths or predict their future academic performance.

The CogAT test for 2nd grade is a cognitive ability test aimed at children around the age of eight years old.

It is often used as a pre-admission exam by gifted and talented schools and programs. It is designed to evaluate pupils’ cognitive abilities, including basic linguistic and math skills.

The test is made up of three sections or batteries:

• Non-verbal battery
• Verbal battery
• Quantitative battery

On the CogAT test 2nd grade, candidates are required to read the test questions instead of listening to the questions being read by the test proctor.

If you are looking for ideas on how to prepare your child for the CogAT test 2nd grade, read on to learn more.

What Is CogAT Test 2nd Grade?

The CogAT (Cognitive Abilities Test) was developed by Riverside Publishing, which is part of Houghton Mifflin Harcourt.

It is designed to assess problem-solving and reasoning skills in the following areas:

• Quantitative

Research has shown that high levels of ability in these three areas is linked to academic success.

If your child is considered potentially talented or gifted, they may be asked to sit a CogAT as part of the program entrance process.

Different CogAT tests are available for different age groups, from Kindergarten (K) up to grade 12.

In this article, you can find more information on the CogAT test 2nd grade. The CogAT test is used by schools across the US to help them identify exceptionally gifted pupils.

Each of the test levels corresponds to the age of the pupil sitting the test. For example, if your child is in grade 6 (aged 12), they will be sitting the Level 12 version of the test. Occasionally, schools may choose to administer a higher level CogAT to talented or gifted pupils; however, this is unusual.

Second grade pupils being considered for gifted programs will usually sit the CogAT Level 8 test. This test is made up of 154 questions and takes 122 minutes to complete.

Many schools use the CogAT Test 6th Grade to assess the non-verbal, verbal and quantitative abilities of sixth-grade students.

The Level 12 CogAT test is a useful tool for checking a student’s individual academic strengths and weaknesses. It can also be used as a screening assessment for entry into the gifted and talented program.

What Is the CogAT Test 6th Grade?

'CogAT' is an acronym for Cognitive Aptitude Test .

CogAT tests are usually administered at school by a teacher or instructor, although some schools employ test proctors and specialists to administer the tests.

This guide is designed to support you and your child through the CogAT Test 6th Grade. You can use it to find out what to expect from the test and tips on how to prepare for it.

We have also included information on the purpose of the test and how to interpret your child’s results.

The Procter and Gamble Assessment Test describes a series of pre-employment screening tests used by Procter and Gamble (P&G).

If you have applied for a job at P&G, you will be expected to sit these tests as part of the hiring process.

Each of the different tests is designed to assess a specific aptitude that is required for a job role at P&G.

In this article, you can learn more about the different tests used by Procter and Gamble. We have also provided tips on how to prepare for the assessments.

This guide includes useful tips and Renaissance Star testing sample questions to help students prepare for the test and feel confident on test day.

You can find detailed information on interpreting and understanding your Renaissance Star Test scores in our dedicated article .

What Is the 6th Grade MAP Test?

The MAP Growth test system was created by educators from Oregon and Washington who established the Northwest Evaluation Association (NWEA) back in 1973.

Their goal was to create an assessment that could accurately measure and track academic progress in children to ensure they graduated high school with all the essential skills and knowledge they required.

In 2000, the first MAP Growth Test was published.

The test is administered in all grades and is based on a set of learning principles known as the Common Core Principles .

The CCAT test grade 3 is a standardized assessment administered to grade 3 students in Canada.

It measures verbal, quantitative and non-verbal reasoning skills and is used to identify a student's learning potential, typically for admission to gifted educational programs.

The CCAT test grade 3 is an assessment commonly used by schools in Canada.

If you’re the parent or guardian of a child preparing for the test, this CCAT grade 3 guide will tell you everything you need to know.

What Is the CCAT Test Grade 3?

The CCAT test (Canadian Cognitive Abilities Test) is a standardized assessment administered to students in grade levels K-12 in the Canadian educational system.

Rather than a measure of academic achievement, the test assesses a child's ability to learn, reason, and problem-solve.

The Independent School Entrance Examination (ISEE) test is used by many independent and magnet schools in the US and overseas as an admission test for children across the entire school age range, but more commonly from year five upwards.

It assesses a child’s academic levels of reasoning across math and literacy in comparison to children of the same age, the norm for that school grade and other applicants to the school.

Created and administered by the Educational Records Bureau (ERB), the ISEE test is available to be taken online or in a pen and paper format.

What Are the ISEE Levels?

There are four levels of the ISEE test.

• ISEE primary for entry into years two to four
• ISEE lower level for entry into years five to six
• ISEE middle level for entry into years seven to eight
• ISEE upper level for entry into years nine to 12

Each level of the ISEE test is created to be relevant to a specific school age group, increasing in complexity with each year and level.

An employer’s recruitment process can include a wide range of assessments and interviews for the candidate to take that indicate to the employer how an individual might fare in the job.

One common way to measure job performance though is by getting candidates to take the PI Cognitive Assessment, which measures mental ability and critical thinking skills.

This article will look in detail at the assessment, its format, who uses it, example questions and PI Cognitive Assessment tips on how to be successful when taking it.

The Raven’s Progressive Matrices is a test that is often used as part of the recruitment process for high-level management and analytical roles.

In this article, you will learn more about the test, its history and background, as well as the different types of tests that are available and what you can expect if you are going to be taking the test.

You will also find some example questions that you can expect to see in each type of test and get helpful pointers that you can use to prepare and do well in the assessment.

If you are applying for a role with the United States Postal Service (USPS) , you will usually be asked to complete at least one of four 477 Virtual Entry Assessments as part of the recruitment process.

These exams are used to evaluate various skills, aptitudes, personality traits and work preferences, which can show whether you have what it takes to be successful in the role in the future.

The USPS 477 Exam is sometimes referred to as the CS VEA, which relates to customer service.

An iReady level score of 3.00 or over means the student is working at or above the level required to meet the standard for their grade.

The level score is calculated in line with expectations when the test was administered, not in comparison to the expected score by the end of the school year.

What Are the iReady Diagnostic Scores?

The iReady diagnostic test is administered to US school children in grades K to eight.

The purpose of this school assessment test is to help parents and teachers check a student’s academic process at the beginning, middle and end of each school year.

It is a computer-adaptive test, which means the questions are adjusted to become more difficult if a series of correct answers is given.

As a result, the test is designed to challenge the skill level of the student sitting the test, as well as assess their strengths and opportunities for growth.

If a student answers a few questions in a row incorrectly, the questions that follow will be easier.

Many people find i-Ready Diagnostic scores difficult to interpret.

As a child progresses through each academic year and moves up the year groups, their expected score will change.

The average score increases year on year, too.

In this article, you can learn more about the different types of iReady diagnostic scores, how these scores are displayed, and how to interpret them to better understand a student’s iReady test performance.

There are two types of HESI Exam:

• The Admissions (A2) test
• The Exit exam

The minimum passing score for the Admissions test is usually between 75 and 80 for each section, although this varies between schools.

The composite score range for the Admissions (A2) test is 750 to 900, with 900 being the maximum possible score.

The HESI Exit Exam score ranges between 0 to 1,500. 850 is considered to be an acceptable score, although HESI recommends a minimum score of 900.

If you want to sit your NCLEX licensing exam, you will need to achieve a score of at least 850 on the HESI Exit Exam.

HESI is an acronym for Health Education Systems Incorporated .

As a company, HESI administers exams and provides study material to help prepare students for the NCLEX professional licensure exam.

If you want to work as a nurse in the US, many nursing and healthcare programs use HESI tests to screen prospective students and determine suitability and readiness for specific study routes.

In this article, you can learn more about the HESI score ranges and passing scores required for each of these tests and what impact your HESI results may have on acceptance into your preferred nursing program.

The SHL Deductive Reasoning Test is an assessment employers use to evaluate candidates' logical thinking skills.

It presents logical arguments and requires candidates to determine if conclusions follow from given premises.

Candidates can prepare by practicing tests, honing logical reasoning skills, and familiarizing themselves with formal logic rules to excel in this assessment.

What Is the SHL Deductive Reasoning Test?

The SHL Deductive Reasoning Test is a cognitive assessment tool used in the recruitment and selection processes for many roles in several industries.

SHL (Saville and Holdsworth Ltd.) is a well-known company specializing in psychometric assessments and organizational talent measurement solutions.

SHL assessment tools are used in the early stages of the recruitment process, enabling recruiters to identify candidates with the specific aptitudes needed for success in a role in an organization.

The Mettl tests are developed by the world's largest assessment provider, Mercer Mettl.

The tests have been designed to analyze various competencies, including verbal, logical and numerical reasoning.

Alongside, the Mettl assessments evaluate candidates' personalities and working styles, establishing whether they are an accurate fit for the role and the broader company.

The Mettl tests are a comprehensive recruitment tool provided by Mercer Mettl – the world's largest assessment provider.

Moreover, the Mettl tests are designed to assess various skills, including numerical , verbal and abstract reasoning.

The assessments are also constructed to understand candidates' behaviors and personality types.

This guide explains everything you need to know about the Mettl test, including tips on how to pass the test in 2024.

What Is the Mettl Test?

As mentioned, the Mettl test is a comprehensive recruitment tool designed to test a range of skills.

It allows employers to ensure they recruit the most suitable candidates for the role.

The MAP Test Grade 7 tests students’ proficiency in mathematics, reading and language usage.

Developed by the Northwest Evaluation Association (NWEA), it measures individual growth over time, adapting question difficulty based on responses.

This online test lasts around two to three hours, and the results are used to inform teaching or gauge students' ability levels.

Scoring is based on the RIT (Rasch Unit) scale, indicating a student's instructional level and growth potential in each subject area.

MAP Grade 7 Sample Question

The CogAT Kindergarten Test is an assessment designed to measure a child's abilities in various cognitive areas.

It plays a critical role in identifying a child's strengths and weaknesses and determining their readiness for advanced academic programs.

In this comprehensive study guide for 2024, you will explore the purpose, format, and structure of the CogAT Kindergarten Test.

Additionally, you will get valuable insights on how to prepare your child for the test, sample questions to familiarize yourself with the test content, strategies for success and answers to frequently asked questions.

Understanding the CogAT Kindergarten Test: Purpose, Format, and Structure

The purpose of the CogAT Kindergarten Test is to assess a child's cognitive abilities in areas such as verbal, quantitative, and nonverbal reasoning.

By evaluating these different components, the test provides educators and parents with valuable information about a child's potential and can help guide educational decisions.

Administered at college and university level, the Accuplacer test is used by some educational institutions to determine how prepared a student is for the next steps in their academic career.

This guide looks specifically at Accuplacer test scores – how they are awarded and what they mean – so you can better understand how your Accuplacer score might impact your learning experience.

Accuplacer test scores are a set of metrics that evaluate a student's knowledge and skills in specific subject areas including reading, writing and math.

The i-Ready Diagnostic Test is an internet-based adaptive diagnostic test linked to the i-Ready educational learning program.

Students from kindergarten to grade 12 take the test three times each year. The test is divided into two subtests:

i-Ready test results are used to help teaching staff create a personalized learning plan according to a student’s strengths and weaknesses.

What Is the i-Ready Diagnostic Test?

The i-Ready Diagnostic Test is a computer-adaptive, untimed assessment for students between grades K and 12.

Administered by Curriculum Associates , teachers can use it to monitor a student’s ability and progress throughout the school year.

In most cases, the i-Ready Diagnostic Test is administered three times each year. It is split into two subtests: math and reading.

The Cognitive Abilities Test (CogAT) 5th Grade Level is a crucial assessment tool for students between 10 and 11 years old.

Designed to measure verbal, nonverbal, and quantitative abilities, this standardized test plays a pivotal role in identifying students for gifted programs.

In this article, you’ll learn what the CogAT 5th grade test is, which subjects are tested, along with example questions and how best to prepare.

What Is the CogAT 5 Grade Test?

The Cognitive Abilities Test (CogAT) is a widely used standardized test designed to assess your child’s cognitive abilities in various areas.

The CogAT 5th Grade Level is specifically tailored for students in the 5th grade and measures their abilities in three main cognitive areas:

• Quantitative Reasoning
• Non-Verbal Reasoning

The State of Texas Assessments of Academic Readiness (STAAR) test is a standardized assessment issued to public school students in Texas in grades 3 to 12.

Below you’ll find a range of STAAR test practice questions to help you prepare – whether you’re a parent coaching a child through their exam prep or a high school student revising for a test of your own.

For more info on the STAAR Test, read our dedicated article.

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The Wechsler Intelligence Scale for Children (WISC-V) is a commonly used assessment for judging a child's intelligence. More than that, it can help to understand their reasoning and thinking abilities to support their development.

Here’s everything you need to know about this test.

The Wechsler Intelligence Scale for Children - Fifth Edition (WISC-V) is an individually administered and extensive evaluation tool used to assess children's reasoning and general thinking abilities.

It's typically given to children between ages 6 and 16.

After completing a test, children are awarded a Full-Scale Intelligence Quotient (IQ) score, along with age-based scores and rankings in several cognitive function fields.

Here we’ll provide an all-around study guide for parents whose children are required or scheduled to take the WISC-V test.

We’ll also include a comprehensive explanation of how it is constructed, its key features, tips for preparing, and a few example questions.

Let’s take a look!

The STAR assessments utilize a scoring system comprising scaled scores ranging from 0 to 1,400.

These scores reflect a student's proficiency level in subjects such as reading and math.

Benchmark categories provide descriptive labels for performance levels, while percentile rank compares a student's performance to a national reference group.

Additionally, grade equivalent scores and domain scores offer insights into grade-level equivalence and specific skill areas.

The STAR Assessment can play a crucial role in evaluating your child’s academic ability and guiding educational strategies.

Understanding its scoring system, test format and significance is important for parents and educators alike.

This article aims to provide comprehensive insights into the STAR Assessment, including its purpose, score interpretation and effective strategies to help children excel in these standardized tests.

The CogAT raw score represents how many questions were answered correctly on the CogAT test. This information is used to create the Universal Scale Score (between 100 and 150), which you will see on your child’s CogAT score report.

Here is an image of a typical score report:

With the MAP Growth Test used in many schools across the United States, MAP (Measures of Academic Progress) scores are an important part of your child’s life.

The MAP testing scores chart a student’s academic growth in a way that highlights areas of excellence and improvement.

It is essential that you understand how NWEA MAP scores are calculated so you can best support your child throughout their learning journey.

This guide will explain how to find and improve your child’s NWEA Map Scores.

The main three sections for the Upper and Middle level tests have a maximum score of 800. They have a total scaled score that ranges between 1,500 to 2,400.

Navigating the SSAT involves understanding its scoring system.

In this guide, you can explore the SSAT Score Chart and understand score ranges and percentile ranking and how they matter in private school admissions.

It's a comprehensive resource for decoding SSAT scores and making informed decisions about your child’s education.

What Is the SSAT Test?

The SSAT stands for the Secondary School Admission Test. The SSAT was first administered in 1957.

It is a standardized test designed for students seeking admission to private middle and high schools.

The primary purpose of the SSAT is to assess the skills and knowledge of students applying to independent or private schools.

It aims to provide an accurate measure of a student's academic abilities and readiness for a challenging curriculum.

The Microsoft Codility Test evaluates coding skills and algorithmic thinking.

Designed to streamline Microsoft’s recruitment process, the Microsoft Codility Test assesses candidates' ability to solve real-world problems efficiently. 

Candidates can prepare using coding practice platforms and mastering programming languages. It's an integral tool in selecting skilled software engineers for Microsoft's diverse roles.

The Smarter Balanced Assessment Consortium Test, known as the SBAC test, is a standardized assessment of English and math used by schools in participating states.

Administered to students in grades K to 12, it measures grade level proficiency and academic progress through computer-adaptive testing and performance tasks.

The Smarter Balanced Test is an educational tool developed and administered by the Smarter Balanced Assessment Consortium (SBAC), hence the abbreviation SBAC test.

In this article we explore what the test involves, what the results mean and how to help a student prepare for their SBAC assessment.

What Is the SBAC Test?

The SBAC assessment is a set of standardized tests that evaluate how well students are performing in the subjects of English Language Arts (ELA) and mathematics.

These assessments are taken by students ranging from elementary school to high school in multiple states across the US.

The tests are developed and managed by the Smarter Balanced Assessment Consortium (SBAC), a collaborative group of states working together.

FireTEAM Test Prep: Top Tips:

• Master time management
• Brush up on basic concepts
• Diversify your reading
• Play observational and memory games
• Assess your communication style
• Prioritize rest and sleep

If you're considering a career in firefighting, taking the FireTEAM test is a pivotal step that can open doors to various fire departments across the US.

This article covers everything you need to know to put in a strong performance, including an overview of its format, practice questions and FireTEAM test tips to help you create an effective study plan.

A career in the fire service is a challenging – but extremely rewarding – journey. Such an important, high-pressure job requires a high level of physical, mental and emotional skills.

As well as the necessary personality traits, you generally need a high school diploma or GED. If you have a college degree, you have a better chance of securing a role in the fire service.

You will also be required to take a series of assessments that evaluate your physical and mental strength. One of the assessments used by Californian fire departments is the FCTC Written Test. To become a firefighter in California, you must pass this entry-level test.

In this guide, we will explore what the FCTC Written Test includes and how you can prepare for success.

To successfully enlist in the US Marine Corps, certain standards must be met. Marines require both physical and mental strength as well as discipline, determination and the ability to overcome obstacles. This is sometimes referred to as the ‘Marine Mindset’.

One of the ways candidates who wish to enlist will be assessed is by taking a test known as the Armed Services Vocational Aptitude Battery (ASVAB).

A good score on the test suggests that a candidate possesses the mental skillset to be successful in the military.

Marines need to be able to make quick, accurate decisions and adapt to and overcome threats and obstacles on the battlefield.

The PiCAT test is a commonly used assessment tool for those applying to military positions, such as those in the US Navy or the US Army.

This article explores the PiCAT test in more detail. We look at the test format to familiarize individuals with what the Navy PiCAT and Army PiCAT test covers.

Preparation is vital to performing to the best of your ability in the PiCAT test.

The article includes PiCAT practice test questions, answers to help you prepare, and tips to give you the best opportunity to approach the test positively.

Mastering the Pipefitter Test is crucial for those entering the field.

This guide provides valuable insights, a pipefitter sample test and strategies to conquer the examination.

Discover expert tips to excel in your pipefitting career by navigating the challenges of this important assessment.

What Is the Pipefitter Assessment Test?

The Pipefitter test is an important evaluation tool for individuals aspiring to secure roles as pipefitters in the construction and industrial sectors.

Qualifications and certifications necessary for such positions can vary by state. This makes the pipefitter assessment test a valuable method of demonstrating skills and knowledge.

The National Center for Construction Education and Research (NCCER) administers the most popular pipefitter assessment test, designed to assess the potential skills of candidates.

It covers the principles related to the installation and maintenance of both high and low-pressure pipe systems.

In addition, it focuses on how these are used across various sectors, including manufacturing, electricity generation and climate control systems in buildings.

The HSBC Online Immersive Assessment contains 38 questions over five subtests. The test includes a combination of behavioural questions and cognitive ability exercises.

It is an untimed assessment, but most candidates can answer all test questions within 50 minutes.

Some people find the test difficult, but adequate preparation will stand you in good stead to pass the assessment.

What Is the HSBC Hiring Process Like?

HSBC is a major global bank and financial institution. It offers services via three global businesses and serves millions of customers daily.

The hiring process at HSBC comprises four key stages:

• Initial Screening and Application
• HSBC Online Immersive Assessment
• Online Job Simulation Assessment

What Is the Electronic Data Processing Test?

The Electronic Data Processing Test (EDPT) is a pre-employment test taken by military candidates who want to transfer to IT or computer programming roles within the Marine Corps or Air Force.

The EDPT test is one of the most challenging pre-employment tests currently on the market with a pass rate of around 10%.

It is 90 minutes long and has 120 multiple-choice questions. This means you have around 45 seconds to answer each question.

While the minimum ASVAB score varies between military branches, the minimum acceptable score is 31.

However, as the majority of candidates score between 30 and 70, you want to aim for a percentile rank of at least 60.

The ASVAB Test Score Report is a valuable document that provides detailed information about your aptitudes, skills, and qualifications for military service.

It includes Career Exploration Scores to guide career choices, individual scores on ASVAB subtests to assess specific abilities and the critical AFQT score that determines your eligibility for enlistment.

Understanding the information presented in this report is essential for making informed decisions about your military career options.

What Is in the ASVAB Test Score Report?

The ASVAB (Armed Services Vocational Aptitude Battery) Test Score Report provides a comprehensive overview of your performance on the ASVAB test, which is a critical step in the military enlistment process.

The report helps you and military recruiters assess your aptitudes, skills, and potential for various military occupations.

What Is the ACCUPLACER Reading Comprehension Test?

The Accuplacer Reading Comprehension test is part of a suite of assessments that are used to evaluate students prior to entry at college.

While the Accuplacer test battery is not used to determine whether a student will achieve a placement at college, the results are used to ensure that the student is studying at an appropriate level and is ready for education at this level.

Created by the College Board, which is a not-for-profit organization that is also responsible for creating assessments like the SATs, the Accuplacer tests are designed to offer better opportunities to students and make entry to top colleges accessible to all.

Best Practices

Top 5 ways to practice problem-solving, practice problem-solving in your daily life. use our handy guide to improve this crucial workplace skill and boost your professional performance..

Problem-solving is something we do every day. From deciding what to make for dinner when we haven’t grocery shopped to figuring out how to increase our sales by 30% by the end of the month, we constantly run into obstacles in our personal and professional lives. 

No one is a master problem-solver right away — it takes patience and time to develop this skill. Practicing problem-solving in low-stakes situations prepares us for when it really counts: a high-pressure setting. Luckily, we know the best ways to practice problem-solving, how to develop your problem-solving skills, and strategies for solving problems quickly and practically.

What is problem-solving?

We can break down the problem-solving process into three main parts: identifying a problem, brainstorming solutions, and taking action. Like any other skill, this process becomes easier with practice. Learning actionable problem-solving techniques can also help us to respond to difficult situations quickly and effectively.

Problem-solving skills are a great help in the workplace — especially for business owners responsible for running all aspects of a business. These skills empower us in both our professional and personal lives and give us the independence to tackle roadblocks on our own — a great asset for solopreneurs.

How to develop problem-solving skills

Practicing problem-solving doesn’t have to be a chore. Here are five exciting ways to flex your creativity and problem-solving muscles:

1. Puzzles and brainteasers

These are fantastic ways to exercise our brains in a controlled and relaxed environment. When we have ample time and no deadlines to brainstorm potential solutions, we’re more likely to try new methods, experiment, and find the problem-solving strategy that works best for us.

Practicing this skill can be as simple as picking up a book of sudoku or sitting down for a crossword every week. Choose activities that you enjoy and make you excited to learn.

Board games and video games provide both entertainment and complex problems to tackle. While immersed in the world or storyline of the game, we’re often required to overcome challenges by discovering a step-by-step journey to the solutions.

Strategy games in particular can strengthen our ability to plan and adapt to sudden changes. Because these games are just for fun, we can break down the problem with patience and take as many attempts as we need.

Starting a new hobby, like a craft or sport, encourages us to embrace a beginner’s mind and find creative solutions while we learn. Whether it’s knitting or basketball, each new journey is going to have hiccups we must persevere through and overcome. 

4. Case studies

If games and puzzles seem a little too abstract to help with professional problem-solving, reading case studies is a powerful alternative. Many case studies published by companies and authors break down the minutiae of problem-solving in real-world settings, including the stress and deadlines of an office environment .

By working through these cases from the comfort of our homes, we learn to consider problems from new perspectives and build the know-how to replicate these strategies — even under stress.

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Mastering problem-solving 

Once we feel comfortable practicing our problem-solving, it’s time to put our skills into action to tackle real-world problems. Here are four ways you can work more quickly and efficiently in high-pressure situations:

• Make sure you understand the problem and can explain it to others. The first step to solving a problem is knowing it inside and out, and an excellent way to test this is by explaining it to peers or team members. 
• Lose the fear of making mistakes. The best solution is the one that works most quickly and effectively for you. There’s no “wrong” answer, and there are likely many viable strategies you could choose.
• Use visual techniques. Good problem solvers understand the methods that work best for them. If staring at words on a page isn’t working, try visualizing the problem through diagrams, mind maps, and other visual tools.
• Reframe the problem as a question you can answer. Thinking of problems as questions allows you to focus on their answers. For example, turn “My clients are upset we don’t communicate enough” into “How can I improve communication with my clients?”

Problem-solving strategies

If you’re looking to really level up your problem-solving, we have three strategies you can implement.

1. IDEAL problem solving

This 5-step process is easy to remember because it’s based on the acronym IDEAL:

• Identify the problem at hand. Ensure you understand the scope of the problem, the facts you already have, and what you need to find out.
• Define an outcome. What does a successful solution look like? Outline an objective that’s agreed upon by you and any other parties involved. 
• Explore strategies. This step is where diagrams, mind maps, and brainstorming can come into play. It doesn’t matter how far-fetched an idea seems — write it down anyway.
• Anticipate outcomes. Examine your best strategies and make your best guess at what the outcome of each will look like. Pick a solution from your list based on which you think will be most successful. You can never know for certain what will happen, but you must take a step forward to move the process along. If you fail, turn to your next best strategy.
• Look back and learn. Reflection is crucial to becoming better at problem-solving. After you make a decision and act on it, reflect on the journey and the outcome. Did you achieve what you wanted to? Would another strategy have been more efficient?

2. Practical problem-solving

This 8-step method centers around solving problems in a team setting, though it can be adapted to individual use:

• Clarify the problem . Ensure all your team members are on the same page by discussing the problem and landing on a definition.
• Break down the problem. If a problem is complex, break it down into more manageable sections. This way, you can employ strategies for each facet of the problem rather than getting stuck on the big picture. You and your team are less likely to become discouraged if you can celebrate successes along the way.
• Set a target. Agree on an end goal and deadline for solving the problem. This will keep everyone accountable to the same solution.
• Analyze the source of the problem. Determine the crux of the problem by tracing back to its root cause. Try using a mind map and beginning at the root of issue and tracing backward.
• Develop countermeasures to correct the problem. Brainstorm solutions with your peers and weigh what the most effective methods might be. Like the IDEAL strategy, this is the time to anticipate the outcomes of your solutions and choose the best step forward.
• Act on the countermeasures. Once you’ve chosen your measures, it’s time to implement them. Delegate tasks amongst your team and offer each other support. 
• Monitor your progress. Track your team’s progress with milestones or metrics so everyone’s on the same page about the problem’s status. 
• Set a standard and share. How often should team members check in? Set clear expectations and ensure the team conducts regular follow-ups to keep everyone updated on the project's progress — and, of course, when the problem is solved. 

3. Lightning Decision Jam

This 9-step process focuses on speed and aims to efficiently generate a variety of solutions to a group of problems. The steps are quick and snappy:

• Write down your problems. What issues are you looking to solve?
• Present each problem to the team (if you’re not working alone). Outline a concise overview of each problem.
• Vote on what problems are priorities (or rank them yourself). Number your problems based on urgency and importance.
• Rewrite priority problems as challenges. Translate your top problems into concrete challenges you or your team must overcome. What are the causes and who do they affect?
• Brainstorm solutions. Have a rapid-fire session and write everything down — there are no wrong answers.
• Vote for the best solutions (or rank them yourself). What solutions from your brainstorming are the most practical, efficient, and promising?
• Prioritize the most relevant solutions. Among the popular solutions, which are most relevant? Weigh effort versus impact and consider your individual or team strengths. 
• Decide what to act on first. Tackle the easiest tasks with the highest impact first, then work your way to the most difficult actions that will be the least impactful.
• Delegate actions and tasks (if you’re not working alone). You know what you have to do and how to get there, so assign work based on your team’s skillset. Who is the best fit for each task?

The best time to start is now

Unfortunately, there’s no recipe for solving every problem you come across. But practicing your problem-solving will unearth your strengths and weaknesses and teach you the necessary techniques to tackle whatever difficulties come your way head-on. So grab a puzzle, dust off a game, or turn your attention to that issue at work — it’s time to get problem-solving. 

Excellent communication is a crucial component of effective problem-solving. Try Practice’s all-in-one client management system today to streamline client conversations and give you back some time to focus on tackling client and business complications.

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40 problem-solving techniques and processes

All teams and organizations encounter challenges. Approaching those challenges without a structured problem solving process can end up making things worse.

Proven problem solving techniques such as those outlined below can guide your group through a process of identifying problems and challenges , ideating on possible solutions , and then evaluating and implementing the most suitable .

In this post, you'll find problem-solving tools you can use to develop effective solutions. You'll also find some tips for facilitating the problem solving process and solving complex problems.

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What is problem solving?

Problem solving is a process of finding and implementing a solution to a challenge or obstacle. In most contexts, this means going through a problem solving process that begins with identifying the issue, exploring its root causes, ideating and refining possible solutions before implementing and measuring the impact of that solution.

For simple or small problems, it can be tempting to skip straight to implementing what you believe is the right solution. The danger with this approach is that without exploring the true causes of the issue, it might just occur again or your chosen solution may cause other issues.

Particularly in the world of work, good problem solving means using data to back up each step of the process, bringing in new perspectives and effectively measuring the impact of your solution.

Effective problem solving can help ensure that your team or organization is well positioned to overcome challenges, be resilient to change and create innovation. In my experience, problem solving is a combination of skillset, mindset and process, and it’s especially vital for leaders to cultivate this skill.

What is the seven step problem solving process?

A problem solving process is a step-by-step framework from going from discovering a problem all the way through to implementing a solution.

With practice, this framework can become intuitive, and innovative companies tend to have a consistent and ongoing ability to discover and tackle challenges when they come up.

You might see everything from a four step problem solving process through to seven steps. While all these processes cover roughly the same ground, I’ve found a seven step problem solving process is helpful for making all key steps legible.

We’ll outline that process here and then follow with techniques you can use to explore and work on that step of the problem solving process with a group.

The seven-step problem solving process is:

1. Problem identification 

The first stage of any problem solving process is to identify the problem(s) you need to solve. This often looks like using group discussions and activities to help a group surface and effectively articulate the challenges they’re facing and wish to resolve.

Be sure to align with your team on the exact definition and nature of the problem you’re solving. An effective process is one where everyone is pulling in the same direction – ensure clarity and alignment now to help avoid misunderstandings later.

2. Problem analysis and refinement

The process of problem analysis means ensuring that the problem you are seeking to solve is  the   right problem . Choosing the right problem to solve means you are on the right path to creating the right solution.

At this stage, you may look deeper at the problem you identified to try and discover the root cause at the level of people or process. You may also spend some time sourcing data, consulting relevant parties and creating and refining a problem statement.

Problem refinement means adjusting scope or focus of the problem you will be aiming to solve based on what comes up during your analysis. As you analyze data sources, you might discover that the root cause means you need to adjust your problem statement. Alternatively, you might find that your original problem statement is too big to be meaningful approached within your current project.

Remember that the goal of any problem refinement is to help set the stage for effective solution development and deployment. Set the right focus and get buy-in from your team here and you’ll be well positioned to move forward with confidence.

3. Solution generation

Once your group has nailed down the particulars of the problem you wish to solve, you want to encourage a free flow of ideas connecting to solving that problem. This can take the form of problem solving games that encourage creative thinking or techniquess designed to produce working prototypes of possible solutions. 

The key to ensuring the success of this stage of the problem solving process is to encourage quick, creative thinking and create an open space where all ideas are considered. The best solutions can often come from unlikely places and by using problem solving techniques that celebrate invention, you might come up with solution gold. 

4. Solution development

No solution is perfect right out of the gate. It’s important to discuss and develop the solutions your group has come up with over the course of following the previous problem solving steps in order to arrive at the best possible solution. Problem solving games used in this stage involve lots of critical thinking, measuring potential effort and impact, and looking at possible solutions analytically. 

During this stage, you will often ask your team to iterate and improve upon your front-running solutions and develop them further. Remember that problem solving strategies always benefit from a multitude of voices and opinions, and not to let ego get involved when it comes to choosing which solutions to develop and take further.

Finding the best solution is the goal of all problem solving workshops and here is the place to ensure that your solution is well thought out, sufficiently robust and fit for purpose. 

5. Decision making and planning

Nearly there! Once you’ve got a set of possible, you’ll need to make a decision on which to implement. This can be a consensus-based group decision or it might be for a leader or major stakeholder to decide. You’ll find a set of effective decision making methods below.

Once your group has reached consensus and selected a solution, there are some additional actions that also need to be decided upon. You’ll want to work on allocating ownership of the project, figure out who will do what, how the success of the solution will be measured and decide the next course of action.

Set clear accountabilities, actions, timeframes, and follow-ups for your chosen solution. Make these decisions and set clear next-steps in the problem solving workshop so that everyone is aligned and you can move forward effectively as a group. 

Ensuring that you plan for the roll-out of a solution is one of the most important problem solving steps. Without adequate planning or oversight, it can prove impossible to measure success or iterate further if the problem was not solved. 

6. Solution implementation 

This is what we were waiting for! All problem solving processes have the end goal of implementing an effective and impactful solution that your group has confidence in.

Project management and communication skills are key here – your solution may need to adjust when out in the wild or you might discover new challenges along the way. For some solutions, you might also implement a test with a small group and monitor results before rolling it out to an entire company.

You should have a clear owner for your solution who will oversee the plans you made together and help ensure they’re put into place. This person will often coordinate the implementation team and set-up processes to measure the efficacy of your solution too.

7. Solution evaluation 

So you and your team developed a great solution to a problem and have a gut feeling it’s been solved. Work done, right? Wrong. All problem solving strategies benefit from evaluation, consideration, and feedback.

You might find that the solution does not work for everyone, might create new problems, or is potentially so successful that you will want to roll it out to larger teams or as part of other initiatives. 

None of that is possible without taking the time to evaluate the success of the solution you developed in your problem solving model and adjust if necessary.

Remember that the problem solving process is often iterative and it can be common to not solve complex issues on the first try. Even when this is the case, you and your team will have generated learning that will be important for future problem solving workshops or in other parts of the organization. 

It’s also worth underlining how important record keeping is throughout the problem solving process. If a solution didn’t work, you need to have the data and records to see why that was the case. If you go back to the drawing board, notes from the previous workshop can help save time.

What does an effective problem solving process look like?

Every effective problem solving process begins with an agenda . In our experience, a well-structured problem solving workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

The format of a workshop ensures that you can get buy-in from your group, encourage free-thinking and solution exploration before making a decision on what to implement following the session.

This Design Sprint 2.0 template is an effective problem solving process from top agency AJ&Smart. It’s a great format for the entire problem solving process, with four-days of workshops designed to surface issues, explore solutions and even test a solution.

Check it for an example of how you might structure and run a problem solving process and feel free to copy and adjust it your needs!

For a shorter process you can run in a single afternoon, this remote problem solving agenda will guide you effectively in just a couple of hours.

Whatever the length of your workshop, by using SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

Complete problem-solving methods

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

The Six Thinking Hats   #creative thinking   #meeting facilitation   #problem solving   #issue resolution   #idea generation   #conflict resolution   The Six Thinking Hats are used by individuals and groups to separate out conflicting styles of thinking. They enable and encourage a group of people to think constructively together in exploring and implementing change, rather than using argument to fight over who is right and who is wrong.

Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   It doesn’t matter where you work and what your job role is, if you work with other people together as a team, you will always encounter the same challenges: Unclear goals and miscommunication that cause busy work and overtime Unstructured meetings that leave attendants tired, confused and without clear outcomes. Frustration builds up because internal challenges to productivity are not addressed Sudden changes in priorities lead to a loss of focus and momentum Muddled compromise takes the place of clear decision- making, leaving everybody to come up with their own interpretation. In short, a lack of structure leads to a waste of time and effort, projects that drag on for too long and frustrated, burnt out teams. AJ&Smart has worked with some of the most innovative, productive companies in the world. What sets their teams apart from others is not better tools, bigger talent or more beautiful offices. The secret sauce to becoming a more productive, more creative and happier team is simple: Replace all open discussion or brainstorming with a structured process that leads to more ideas, clearer decisions and better outcomes. When a good process provides guardrails and a clear path to follow, it becomes easier to come up with ideas, make decisions and solve problems. This is why AJ&Smart created Lightning Decision Jam (LDJ). It’s a simple and short, but powerful group exercise that can be run either in-person, in the same room, or remotely with distributed teams.

Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills. 

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for brainstorming solutions

Now you have the context and background of the problem you are trying to solving, now comes the time to start ideating and thinking about how you’ll solve the issue.

Here, you’ll want to encourage creative, free thinking and speed. Get as many ideas out as possible and explore different perspectives so you have the raw material for the next step.

Looking at a problem from a new angle can be one of the most effective ways of creating an effective solution. TRIZ is a problem-solving tool that asks the group to consider what they must not do in order to solve a challenge.

By reversing the discussion, new topics and taboo subjects often emerge, allowing the group to think more deeply and create ideas that confront the status quo in a safe and meaningful way. If you’re working on a problem that you’ve tried to solve before, TRIZ is a great problem-solving method to help your team get unblocked.

Making Space with TRIZ   #issue analysis   #liberating structures   #issue resolution   You can clear space for innovation by helping a group let go of what it knows (but rarely admits) limits its success and by inviting creative destruction. TRIZ makes it possible to challenge sacred cows safely and encourages heretical thinking. The question “What must we stop doing to make progress on our deepest purpose?” induces seriously fun yet very courageous conversations. Since laughter often erupts, issues that are otherwise taboo get a chance to be aired and confronted. With creative destruction come opportunities for renewal as local action and innovation rush in to fill the vacuum. Whoosh!

Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex. 

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

Idea and Concept Development

Brainstorming without structure can quickly become chaotic or frustrating. In a problem-solving context, having an ideation framework to follow can help ensure your team is both creative and disciplined.

In this method, you’ll find an idea generation process that encourages your group to brainstorm effectively before developing their ideas and begin clustering them together. By using concepts such as Yes and…, more is more and postponing judgement, you can create the ideal conditions for brainstorming with ease.

Idea & Concept Development   #hyperisland   #innovation   #idea generation   Ideation and Concept Development is a process for groups to work creatively and collaboratively to generate creative ideas. It’s a general approach that can be adapted and customized to suit many different scenarios. It includes basic principles for idea generation and several steps for groups to work with. It also includes steps for idea selection and development.

Problem-solving techniques for developing and refining solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to develop and refine your ideas in order to bring them closer to a solution that actually solves the problem.

Use these problem-solving techniques when you want to help your team think through their ideas and refine them as part of your problem solving process.

Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

Ensuring that everyone in a group is able to contribute to a discussion is vital during any problem solving process. Not only does this ensure all bases are covered, but its then easier to get buy-in and accountability when people have been able to contribute to the process.

1-2-4-All is a tried and tested facilitation technique where participants are asked to first brainstorm on a topic on their own. Next, they discuss and share ideas in a pair before moving into a small group. Those groups are then asked to present the best idea from their discussion to the rest of the team.

This method can be used in many different contexts effectively, though I find it particularly shines in the idea development stage of the process. Giving each participant time to concretize their ideas and develop them in progressively larger groups can create a great space for both innovation and psychological safety.

1-2-4-All   #idea generation   #liberating structures   #issue analysis   With this facilitation technique you can immediately include everyone regardless of how large the group is. You can generate better ideas and more of them faster than ever before. You can tap the know-how and imagination that is distributed widely in places not known in advance. Open, generative conversation unfolds. Ideas and solutions are sifted in rapid fashion. Most importantly, participants own the ideas, so follow-up and implementation is simplified. No buy-in strategies needed! Simple and elegant!

15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

Problem-solving techniques for making decisions and planning

After your group is happy with the possible solutions you’ve developed, now comes the time to choose which to implement. There’s more than one way to make a decision and the best option is often dependant on the needs and set-up of your group.

Sometimes, it’s the case that you’ll want to vote as a group on what is likely to be the most impactful solution. Other times, it might be down to a decision maker or major stakeholder to make the final decision. Whatever your process, here’s some techniques you can use to help you make a decision during your problem solving process.

How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

Straddling the gap between decision making and planning, MoSCoW is a simple and effective method that allows a group team to easily prioritize a set of possible options.

Use this method in a problem solving process by collecting and summarizing all your possible solutions and then categorize them into 4 sections: “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”.

This method is particularly useful when its less about choosing one possible solution and more about prioritorizing which to do first and which may not fit in the scope of your project. In my experience, complex challenges often require multiple small fixes, and this method can be a great way to move from a pile of things you’d all like to do to a structured plan.

MoSCoW   #define intentions   #create   #design   #action   #remote-friendly   MoSCoW is a method that allows the team to prioritize the different features that they will work on. Features are then categorized into “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”. To be used at the beginning of a timeslot (for example during Sprint planning) and when planning is needed.

When it comes to managing the rollout of a solution, clarity and accountability are key factors in ensuring the success of the project. The RAACI chart is a simple but effective model for setting roles and responsibilities as part of a planning session.

Start by listing each person involved in the project and put them into the following groups in order to make it clear who is responsible for what during the rollout of your solution.

• Responsibility  (Which person and/or team will be taking action?)
• Authority  (At what “point” must the responsible person check in before going further?)
• Accountability  (Who must the responsible person check in with?)
• Consultation  (Who must be consulted by the responsible person before decisions are made?)
• Information  (Who must be informed of decisions, once made?)

Ensure this information is easily accessible and use it to inform who does what and who is looped into discussions and kept up to date.

RAACI   #roles and responsibility   #teamwork   #project management   Clarifying roles and responsibilities, levels of autonomy/latitude in decision making, and levels of engagement among diverse stakeholders.

Problem-solving warm-up activities

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process. Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute. 

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start. 

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems. 

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Closing activities for a problem-solving process

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Tips for effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Create psychologically safe spaces for discussion

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner.

It can be tough for people to stand up and contribute if the problems or challenges are emotive or personal in nature. Try and create a psychologically safe space for these kinds of discussions and where possible, create regular opportunities for challenges to be brought up organically.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

Save time and effort creating an effective problem solving process

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

James Smart is Head of Content at SessionLab. He’s also a creative facilitator who has run workshops and designed courses for establishments like the National Centre for Writing, UK. He especially enjoys working with young people and empowering others in their creative practice.

thank you very much for these excellent techniques

Certainly wonderful article, very detailed. Shared!

Your list of techniques for problem solving can be helpfully extended by adding TRIZ to the list of techniques. TRIZ has 40 problem solving techniques derived from methods inventros and patent holders used to get new patents. About 10-12 are general approaches. many organization sponsor classes in TRIZ that are used to solve business problems or general organiztational problems. You can take a look at TRIZ and dwonload a free internet booklet to see if you feel it shound be included per your selection process.

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To get additional practice, check out the sample problems in each of the topic above. We provide full solutions with steps for all practice problems. There's no better way to find math help online than with Cymath, so also make sure you download our mobile app for and today! Learn more than what the answer is - with the math helper app, you'll learn the steps behind it too. Even simple math problems become easier to solve when broken down into steps. From basic additions to calculus, the process of problem solving usually takes a lot of practice before answers could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them. At Cymath, our goal is to take your understanding of math to a new level. If you find Cymath useful, try today! It offers an ad-free experience and more detailed explanations. In short, goes into more depth than the standard version, giving students more resources to learn the step-by-step process of solving math problems. Introduction to Problem Solving Skills What is problem solving and why is it important. The ability to solve problems is a basic life skill and is essential to our day-to-day lives, at home, at school, and at work. We solve problems every day without really thinking about how we solve them. For example: it’s raining and you need to go to the store. What do you do? There are lots of possible solutions. Take your umbrella and walk. If you don't want to get wet, you can drive, or take the bus. You might decide to call a friend for a ride, or you might decide to go to the store another day. There is no right way to solve this problem and different people will solve it differently. Problem solving is the process of identifying a problem, developing possible solution paths, and taking the appropriate course of action. Why is problem solving important? Good problem solving skills empower you not only in your personal life but are critical in your professional life. In the current fast-changing global economy, employers often identify everyday problem solving as crucial to the success of their organizations. For employees, problem solving can be used to develop practical and creative solutions, and to show independence and initiative to employers. Throughout this case study you will be asked to jot down your thoughts in idea logs. These idea logs are used for reflection on concepts and for answering short questions. When you click on the "Next" button, your responses will be saved for that page. If you happen to close the webpage, you will lose your work on the page you were on, but previous pages will be saved. At the end of the case study, click on the "Finish and Export to PDF" button to acknowledge completion of the case study and receive a PDF document of your idea logs. What Does Problem Solving Look Like? The ability to solve problems is a skill, and just like any other skill, the more you practice, the better you get. So how exactly do you practice problem solving? Learning about different problem solving strategies and when to use them will give you a good start. Problem solving is a process. Most strategies provide steps that help you identify the problem and choose the best solution. There are two basic types of strategies: algorithmic and heuristic. Algorithmic strategies are traditional step-by-step guides to solving problems. They are great for solving math problems (in algebra: multiply and divide, then add or subtract) or for helping us remember the correct order of things (a mnemonic such as “Spring Forward, Fall Back” to remember which way the clock changes for daylight saving time, or “Righty Tighty, Lefty Loosey” to remember what direction to turn bolts and screws). Algorithms are best when there is a single path to the correct solution. But what do you do when there is no single solution for your problem? Heuristic methods are general guides used to identify possible solutions. A popular one that is easy to remember is IDEAL [ Bransford & Stein, 1993 ] : I dentify the problem D efine the context of the problem E xplore possible strategies A ct on best solution IDEAL is just one problem solving strategy. Building a toolbox of problem solving strategies will improve your problem solving skills. With practice, you will be able to recognize and use multiple strategies to solve complex problems. Watch the video What is the best way to get a peanut out of a tube that cannot be moved? Watch a chimpanzee solve this problem in the video below [ Geert Stienissen, 2010 ]. [PDF transcript] Describe the series of steps you think the chimpanzee used to solve this problem. [Page 2: What does Problem Solving Look Like?] Describe the series of steps you think the chimpanzee used to solve this problem. Think of an everyday problem you've encountered recently and describe your steps for solving it. [Page 2: What does Problem Solving Look Like?] Think of an everyday problem you've encountered recently and describe your steps for solving it. Developing Problem Solving Processes Problem solving is a process that uses steps to solve problems. But what does that really mean? Let's break it down and start building our toolbox of problem solving strategies. What is the first step of solving any problem? The first step is to recognize that there is a problem and identify the right cause of the problem. This may sound obvious, but similar problems can arise from different events, and the real issue may not always be apparent. To really solve the problem, it's important to find out what started it all. This is called identifying the root cause . Example: You and your classmates have been working long hours on a project in the school's workshop. The next afternoon, you try to use your student ID card to access the workshop, but discover that your magnetic strip has been demagnetized. Since the card was a couple of years old, you chalk it up to wear and tear and get a new ID card. Later that same week you learn that several of your classmates had the same problem! After a little investigation, you discover that a strong magnet was stored underneath a workbench in the workshop. The magnet was the root cause of the demagnetized student ID cards. The best way to identify the root cause of the problem is to ask questions and gather information. If you have a vague problem, investigating facts is more productive than guessing a solution. Ask yourself questions about the problem. What do you know about the problem? What do you not know? When was the last time it worked correctly? What has changed since then? Can you diagram the process into separate steps? Where in the process is the problem occurring? Be curious, ask questions, gather facts, and make logical deductions rather than assumptions. Watch Adam Savage from Mythbusters, describe his problem solving process [ ForaTv, 2010 ]. As you watch this section of the video, try to identify the questions he asks and the different strategies he uses. Adam Savage shared many of his problem solving processes. List the ones you think are the five most important. Your list may be different from other people in your class—that's ok! [Page 3: Developing Problem Solving Processes] Adam Savage shared many of his problem solving processes. List the ones you think are the five most important. “The ability to ask the right question is more than half the battle of finding the answer.” — Thomas J. Watson , founder of IBM Voices From the Field: Solving Problems In manufacturing facilities and machine shops, everyone on the floor is expected to know how to identify problems and find solutions. Today's employers look for the following skills in new employees: to analyze a problem logically, formulate a solution, and effectively communicate with others. In this video, industry professionals share their own problem solving processes, the problem solving expectations of their employees, and an example of how a problem was solved. Meet the Partners: Taconic High School in Pittsfield, Massachusetts, is a comprehensive, fully accredited high school with special programs in Health Technology, Manufacturing Technology, and Work-Based Learning. Berkshire Community College in Pittsfield, Massachusetts, prepares its students with applied manufacturing technical skills, providing hands-on experience at industrial laboratories and manufacturing facilities, and instructing them in current technologies. H.C. Starck in Newton, Massachusetts, specializes in processing and manufacturing technology metals, such as tungsten, niobium, and tantalum. In almost 100 years of experience, they hold over 900 patents, and continue to innovate and develop new products. Nypro Healthcare in Devens, Massachusetts, specializes in precision injection-molded healthcare products. They are committed to good manufacturing processes including lean manufacturing and process validation. Making Decisions Now that you have a couple problem solving strategies in your toolbox, let's practice. In this exercise, you are given a scenario and you will be asked to decide what steps you would take to identify and solve the problem. Scenario: You are a new employee and have just finished your training. As your first project, you have been assigned the milling of several additional components for a regular customer. Together, you and your trainer, Bill, set up for the first run. Checking your paperwork, you gather the tools and materials on the list. As you are mounting the materials on the table, you notice that you didn't grab everything and hurriedly grab a few more items from one of the bins. Once the material is secured on the CNC table, you load tools into the tool carousel in the order listed on the tool list and set the fixture offsets. Bill tells you that since this is a rerun of a job several weeks ago, the CAD/CAM model has already been converted to CNC G-code. Bill helps you download the code to the CNC machine. He gives you the go-ahead and leaves to check on another employee. You decide to start your first run. What problems did you observe in the video? [Page 5: Making Decisions] What problems did you observe in the video? What do you do next? Try to fix it yourself. Ask your trainer for help. As you are cleaning up, you think about what happened and wonder why it happened. You try to create a mental picture of what happened. You are not exactly sure what the end mill hit, but it looked like it might have hit the dowel pin. You wonder if you grabbed the correct dowel pins from the bins earlier. You can think of two possible next steps. You can recheck the dowel pin length to make sure it is the correct length, or do a dry run using the CNC single step or single block function with the spindle empty to determine what actually happened. Check the dowel pins. Use the single step/single block function to determine what happened. You notice that your trainer, Bill, is still on the floor and decide to ask him for help. You describe the problem to him. Bill asks if you know what the end mill ran into. You explain that you are not sure but you think it was the dowel pin. Bill reminds you that it is important to understand what happened so you can fix the correct problem. He suggests that you start all over again and begin with a dry run using the single step/single block function, with the spindle empty, to determine what it hit. Or, since it happened at the end, he mentions that you can also check the G-code to make sure the Z-axis is raised before returning to the home position. Run the single step/single block function. Edit the G-code to raise the Z-axis. You finish cleaning up and check the CNC for any damage. Luckily, everything looks good. You check your paperwork and gather the components and materials again. You look at the dowel pins you used earlier, and discover that they are not the right length. As you go to grab the correct dowel pins, you have to search though several bins. For the first time, you are aware of the mess - it looks like the dowel pins and other items have not been put into the correctly labeled bins. You spend 30 minutes straightening up the bins and looking for the correct dowel pins. Finally finding them, you finish setting up. You load tools into the tool carousel in the order listed on the tool list and set the fixture offsets. Just to make sure, you use the CNC single step/single block function, to do a dry run of the part. Everything looks good! You are ready to create your first part. The first component is done, and, as you admire your success, you notice that the part feels hotter than it should. You wonder why? You go over the steps of the process to mentally figure out what could be causing the residual heat. You wonder if there is a problem with the CNC's coolant system or if the problem is in the G-code. Look at the G-code. After thinking about the problem, you decide that maybe there's something wrong with the setup. First, you clean up the damaged materials and remove the broken tool. You check the CNC machine carefully for any damage. Luckily, everything looks good. It is time to start over again from the beginning. You again check your paperwork and gather the tools and materials on the setup sheet. After securing the new materials, you use the CNC single step/single block function with the spindle empty, to do a dry run of the part. You watch carefully to see if you can figure out what happened. It looks to you like the spindle barely misses hitting the dowel pin. You determine that the end mill was broken when it hit the dowel pin while returning to the start position. After conducting a dry run using the single step/single block function, you determine that the end mill was damaged when it hit the dowel pin on its return to the home position. You discuss your options with Bill. Together, you decide the best thing to do would be to edit the G-code and raise the Z-axis before returning to home. You open the CNC control program and edit the G-code. Just to make sure, you use the CNC single step/single block function, to do another dry run of the part. You are ready to create your first part. It works. You first part is completed. Only four more to go. As you are cleaning up, you notice that the components are hotter than you expect and the end mill looks more worn than it should be. It dawns on you that while you were milling the component, the coolant didn't turn on. You wonder if it is a software problem in the G-code or hardware problem with the CNC machine. It's the end of the day and you decide to finish the rest of the components in the morning. You decide to look at the G-code in the morning. You leave a note on the machine, just in case. You decide that the best thing to do would be to edit the G-code and raise the Z-axis of the spindle before it returns to home. You open the CNC control program and edit the G-code. While editing the G-code to raise the Z-axis, you notice that the coolant is turned off at the beginning of the code and at the end of the code. The coolant command error caught your attention because your coworker, Mark, mentioned having a similar issue during lunch. You change the coolant command to turn the mist on. You decide to talk with your supervisor. You discuss what happened with a coworker over lunch. As you reflect on the residual heat problem, you think about the machining process and the factors that could have caused the issue. You try to think of anything and everything that could be causing the issue. Are you using the correct tool for the specified material? Are you using the specified material? Is it running at the correct speed? Is there enough coolant? Are there chips getting in the way? Wait, was the coolant turned on? As you replay what happened in your mind, you wonder why the coolant wasn't turned on. You decide to look at the G-code to find out what is going on. From the milling machine computer, you open the CNC G-code. You notice that there are no coolant commands. You add them in and on the next run, the coolant mist turns on and the residual heat issues is gone. Now, its on to creating the rest of the parts. Have you ever used brainstorming to solve a problem? Chances are, you've probably have, even if you didn't realize it. You notice that your trainer, Bill, is on the floor and decide to ask him for help. You describe the problem with the end mill breaking, and how you discovered that items are not being returned to the correctly labeled bins. You think this caused you to grab the incorrect length dowel pins on your first run. You have sorted the bins and hope that the mess problem is fixed. You then go on to tell Bill about the residual heat issue with the completed part. Together, you go to the milling machine. Bill shows you how to check the oil and coolant levels. Everything looks good at the machine level. Next, on the CNC computer, you open the CNC G-code. While looking at the code, Bill points out that there are no coolant commands. Bill adds them in and when you rerun the program, it works. Bill is glad you mentioned the problem to him. You are the third worker to mention G-code issues over the last week. You noticed the coolant problems in your G-code, John noticed a Z-axis issue in his G-code, and Sam had issues with both the Z-axis and the coolant. Chances are, there is a bigger problem and Bill will need to investigate the root cause . Talking with Bill, you discuss the best way to fix the problem. Bill suggests editing the G-code to raise the Z-axis of the spindle before it returns to its home position. You open the CNC control program and edit the G-code. Following the setup sheet, you re-setup the job and use the CNC single step/single block function, to do another dry run of the part. Everything looks good, so you run the job again and create the first part. It works. Since you need four of each component, you move on to creating the rest of them before cleaning up and leaving for the day. It's a new day and you have new components to create. As you are setting up, you go in search of some short dowel pins. You discover that the bins are a mess and components have not been put away in the correctly labeled bins. You wonder if this was the cause of yesterday's problem. As you reorganize the bins and straighten up the mess, you decide to mention the mess issue to Bill in your afternoon meeting. You describe the bin mess and using the incorrect length dowels to Bill. He is glad you mentioned the problem to him. You are not the first person to mention similar issues with tools and parts not being put away correctly. Chances are there is a bigger safety issue here that needs to be addressed in the next staff meeting. In any workplace, following proper safety and cleanup procedures is always important. This is especially crucial in manufacturing where people are constantly working with heavy, costly and sometimes dangerous equipment. When issues and problems arise, it is important that they are addressed in an efficient and timely manner. Effective communication is an important tool because it can prevent problems from recurring, avoid injury to personnel, reduce rework and scrap, and ultimately, reduce cost, and save money. You now know that the end mill was damaged when it hit the dowel pin. It seems to you that the easiest thing to do would be to edit the G-code and raise the Z-axis position of the spindle before it returns to the home position. You open the CNC control program and edit the G-code, raising the Z-axis. Starting over, you follow the setup sheet and re-setup the job. This time, you use the CNC single step/single block function, to do another dry run of the part. Everything looks good, so you run the job again and create the first part. At the end of the day, you are reviewing your progress with your trainer, Bill. After you describe the day's events, he reminds you to always think about safety and the importance of following work procedures. He decides to bring the issue up in the next morning meeting as a reminder to everyone. In any workplace, following proper procedures (especially those that involve safety) is always important. This is especially crucial in manufacturing where people are constantly working with heavy, costly, and sometimes dangerous equipment. When issues and problems arise, it is important that they are addressed in an efficient and timely manner. Effective communication is an important tool because it can prevent problems from recurring, avoid injury to personnel, reduce rework and scrap, and ultimately, reduce cost, and save money. One tool to improve communication is the morning meeting or huddle. The next morning, you check the G-code to determine what is wrong with the coolant. You notice that the coolant is turned off at the beginning of the code and also at the end of the code. This is strange. You change the G-code to turn the coolant on at the beginning of the run and off at the end. This works and you create the rest of the parts. Throughout the day, you keep wondering what caused the G-code error. At lunch, you mention the G-code error to your coworker, John. John is not surprised. He said that he encountered a similar problem earlier this week. You decide to talk with your supervisor the next time you see him. You are in luck. You see your supervisor by the door getting ready to leave. You hurry over to talk with him. You start off by telling him about how you asked Bill for help. Then you tell him there was a problem and the end mill was damaged. You describe the coolant problem in the G-code. Oh, and by the way, John has seen a similar problem before. Your supervisor doesn't seem overly concerned, errors happen. He tells you "Good job, I am glad you were able to fix the issue." You are not sure whether your supervisor understood your explanation of what happened or that it had happened before. The challenge of communicating in the workplace is learning how to share your ideas and concerns. If you need to tell your supervisor that something is not going well, it is important to remember that timing, preparation, and attitude are extremely important. It is the end of your shift, but you want to let the next shift know that the coolant didn't turn on. You do not see your trainer or supervisor around. You decide to leave a note for the next shift so they are aware of the possible coolant problem. You write a sticky note and leave it on the monitor of the CNC control system. How effective do you think this solution was? Did it address the problem? In this scenario, you discovered several problems with the G-code that need to be addressed. When issues and problems arise, it is important that they are addressed in an efficient and timely manner. Effective communication is an important tool because it can prevent problems from recurring and avoid injury to personnel. The challenge of communicating in the workplace is learning how and when to share your ideas and concerns. If you need to tell your co-workers or supervisor that there is a problem, it is important to remember that timing and the method of communication are extremely important. You are able to fix the coolant problem in the G-code. While you are glad that the problem is fixed, you are worried about why it happened in the first place. It is important to remember that if a problem keeps reappearing, you may not be fixing the right problem. You may only be addressing the symptoms. You decide to talk to your trainer. Bill is glad you mentioned the problem to him. You are the third worker to mention G-code issues over the last week. You noticed the coolant problems in your G-code, John noticed a Z-axis issue in his G-code, and Sam had issues with both the Z-axis and the coolant. Chances are, there is a bigger problem and Bill will need to investigate the root cause . Over lunch, you ask your coworkers about the G-code problem and what may be causing the error. Several people mention having similar problems but do not know the cause. You have now talked to three coworkers who have all experienced similar coolant G-code problems. You make a list of who had the problem, when they had the problem, and what each person told you. Person When Problem Description Sam last week No coolant commands in G-code John Yesterday Coolant was turned off and there were Z-axis problems Me today Coolant was turned off at both beginning and end of program When you see your supervisor later that afternoon, you are ready to talk with him. You describe the problem you had with your component and the damaged bit. You then go on to tell him about talking with Bill and discovering the G-code issue. You show him your notes on your coworkers' coolant issues, and explain that you think there might be a bigger problem. You supervisor thanks you for your initiative in identifying this problem. It sounds like there is a bigger problem and he will need to investigate the root cause. He decides to call a team huddle to discuss the issue, gather more information, and talk with the team about the importance of communication. Root Cause Analysis Root cause analysis ( RCA ) is a method of problem solving that identifies the underlying causes of an issue. Root cause analysis helps people answer the question of why the problem occurred in the first place. RCA uses clear cut steps in its associated tools, like the "5 Whys Analysis" and the "Cause and Effect Diagram," to identify the origin of the problem, so that you can: Determine what happened. Determine why it happened. Fix the problem so it won’t happen again. RCA works under the idea that systems and events are connected. An action in one area triggers an action in another, and another, and so on. By tracing back these actions, you can discover where the problem started and how it developed into the problem you're now facing. Root cause analysis can prevent problems from recurring, reduce injury to personnel, reduce rework and scrap, and ultimately, reduce cost and save money. There are many different RCA techniques available to determine the root cause of a problem. These are just a few: Root Cause Analysis Tools 5 Whys Analysis Fishbone or Cause and Effect Diagram Pareto Analysis How Huddles Work Communication is a vital part of any setting where people work together. Effective communication helps employees and managers form efficient teams. It builds trusts between employees and management, and reduces unnecessary competition because each employee knows how their part fits in the larger goal. One tool that management can use to promote communication in the workplace is the huddle . Just like football players on the field, a huddle is a short meeting where everyone is standing in a circle. A daily team huddle ensures that team members are aware of changes to the schedule, reiterated problems and safety issues, and how their work impacts one another. When done right, huddles create collaboration, communication, and accountability to results. Impromptu huddles can be used to gather information on a specific issue and get each team member's input. The most important thing to remember about huddles is that they are short, lasting no more than 10 minutes, and their purpose is to communicate and identify. In essence, a huddle’s purpose is to identify priorities, communicate essential information, and discover roadblocks to productivity. Who uses huddles? Many industries and companies use daily huddles. At first thought, most people probably think of hospitals and their daily patient update meetings, but lots of managers use daily meetings to engage their employees. Here are a few examples: Brian Scudamore, CEO of 1-800-Got-Junk? , uses the daily huddle as an operational tool to take the pulse of his employees and as a motivational tool. Watch a morning huddle meeting . Fusion OEM, an outsourced manufacturing and production company. What do employees take away from the daily huddle meeting . Biz-Group, a performance consulting group. Tips for a successful huddle . Brainstorming One tool that can be useful in problem solving is brainstorming . Brainstorming is a creativity technique designed to generate a large number of ideas for the solution to a problem. The method was first popularized in 1953 by Alex Faickney Osborn in the book Applied Imagination . The goal is to come up with as many ideas as you can in a fixed amount of time. Although brainstorming is best done in a group, it can be done individually. Like most problem solving techniques, brainstorming is a process. Define a clear objective. Have an agreed a time limit. During the brainstorming session, write down everything that comes to mind, even if the idea sounds crazy. If one idea leads to another, write down that idea too. Combine and refine ideas into categories of solutions. Assess and analyze each idea as a potential solution. When used during problem solving, brainstorming can offer companies new ways of encouraging staff to think creatively and improve production. Brainstorming relies on team members' diverse experiences, adding to the richness of ideas explored. This means that you often find better solutions to the problems. Team members often welcome the opportunity to contribute ideas and can provide buy-in for the solution chosen—after all, they are more likely to be committed to an approach if they were involved in its development. What's more, because brainstorming is fun, it helps team members bond. Watch Peggy Morgan Collins, a marketing executive at Power Curve Communications discuss How to Stimulate Effective Brainstorming . Watch Kim Obbink, CEO of Filter Digital, a digital content company, and her team share their top five rules for How to Effectively Generate Ideas . Importance of Good Communication and Problem Description Communication is one of the most frequent activities we engage in on a day-to-day basis. At some point, we have all felt that we did not effectively communicate an idea as we would have liked. The key to effective communication is preparation. Rather than attempting to haphazardly improvise something, take a few minutes and think about what you want say and how you will say it. If necessary, write yourself a note with the key points or ideas in the order you want to discuss them. The notes can act as a reminder or guide when you talk to your supervisor. Tips for clear communication of an issue: Provide a clear summary of your problem. Start at the beginning, give relevant facts, timelines, and examples. Avoid including your opinion or personal attacks in your explanation. Avoid using words like "always" or "never," which can give the impression that you are exaggerating the problem. If this is an ongoing problem and you have collected documentation, give it to your supervisor once you have finished describing the problem. Remember to listen to what's said in return; communication is a two-way process. Not all communication is spoken. Body language is nonverbal communication that includes your posture, your hands and whether you make eye contact. These gestures can be subtle or overt, but most importantly they communicate meaning beyond what is said. When having a conversation, pay attention to how you stand. A stiff position with arms crossed over your chest may imply that you are being defensive even if your words state otherwise. Shoving your hands in your pockets when speaking could imply that you have something to hide. Be wary of using too many hand gestures because this could distract listeners from your message. The challenge of communicating in the workplace is learning how and when to share your ideas or concerns. If you need to tell your supervisor or co-worker about something that is not going well, keep in mind that good timing and good attitude will go a long way toward helping your case. Like all skills, effective communication needs to be practiced. Toastmasters International is perhaps the best known public speaking organization in the world. Toastmasters is open to anyone who wish to improve their speaking skills and is willing to put in the time and effort to do so. To learn more, visit Toastmasters International . Methods of Communication Communication of problems and issues in any workplace is important, particularly when safety is involved. It is therefore crucial in manufacturing where people are constantly working with heavy, costly, and sometimes dangerous equipment. As issues and problems arise, they need to be addressed in an efficient and timely manner. Effective communication is an important skill because it can prevent problems from recurring, avoid injury to personnel, reduce rework and scrap, and ultimately, reduce cost and save money. There are many different ways to communicate: in person, by phone, via email, or written. There is no single method that fits all communication needs, each one has its time and place. In person: In the workplace, face-to-face meetings should be utilized whenever possible. Being able to see the person you need to speak to face-to-face gives you instant feedback and helps you gauge their response through their body language. Be careful of getting sidetracked in conversation when you need to communicate a problem. Email: Email has become the communication standard for most businesses. It can be accessed from almost anywhere and is great for things that don’t require an immediate response. Email is a great way to communicate non-urgent items to large amounts of people or just your team members. One thing to remember is that most people's inboxes are flooded with emails every day and unless they are hyper vigilant about checking everything, important items could be missed. For issues that are urgent, especially those around safety, email is not always be the best solution. Phone: Phone calls are more personal and direct than email. They allow us to communicate in real time with another person, no matter where they are. Not only can talking prevent miscommunication, it promotes a two-way dialogue. You don’t have to worry about your words being altered or the message arriving on time. However, mobile phone use and the workplace don't always mix. In particular, using mobile phones in a manufacturing setting can lead to a variety of problems, cause distractions, and lead to serious injury. Written: Written communication is appropriate when detailed instructions are required, when something needs to be documented, or when the person is too far away to easily speak with over the phone or in person. There is no "right" way to communicate, but you should be aware of how and when to use the appropriate form of communication for your situation. When deciding the best way to communicate with a co-worker or manager, put yourself in their shoes, and think about how you would want to learn about the issue. Also, consider what information you would need to know to better understand the issue. Use your good judgment of the situation and be considerate of your listener's viewpoint. Did you notice any other potential problems in the previous exercise? [Page 6:] Did you notice any other potential problems in the previous exercise? Summary of Strategies In this exercise, you were given a scenario in which there was a problem with a component you were creating on a CNC machine. You were then asked how you wanted to proceed. Depending on your path through this exercise, you might have found an easy solution and fixed it yourself, asked for help and worked with your trainer, or discovered an ongoing G-code problem that was bigger than you initially thought. When issues and problems arise, it is important that they are addressed in an efficient and timely manner. Communication is an important tool because it can prevent problems from recurring, avoid injury to personnel, reduce rework and scrap, and ultimately, reduce cost, and save money. Although, each path in this exercise ended with a description of a problem solving tool for your toolbox, the first step is always to identify the problem and define the context in which it happened. There are several strategies that can be used to identify the root cause of a problem. Root cause analysis (RCA) is a method of problem solving that helps people answer the question of why the problem occurred. RCA uses a specific set of steps, with associated tools like the “5 Why Analysis" or the “Cause and Effect Diagram,” to identify the origin of the problem, so that you can: Once the underlying cause is identified and the scope of the issue defined, the next step is to explore possible strategies to fix the problem. If you are not sure how to fix the problem, it is okay to ask for help. Problem solving is a process and a skill that is learned with practice. It is important to remember that everyone makes mistakes and that no one knows everything. Life is about learning. It is okay to ask for help when you don’t have the answer. When you collaborate to solve problems you improve workplace communication and accelerates finding solutions as similar problems arise. One tool that can be useful for generating possible solutions is brainstorming . Brainstorming is a technique designed to generate a large number of ideas for the solution to a problem. The method was first popularized in 1953 by Alex Faickney Osborn in the book Applied Imagination. The goal is to come up with as many ideas as you can, in a fixed amount of time. Although brainstorming is best done in a group, it can be done individually. Depending on your path through the exercise, you may have discovered that a couple of your coworkers had experienced similar problems. This should have been an indicator that there was a larger problem that needed to be addressed. In any workplace, communication of problems and issues (especially those that involve safety) is always important. This is especially crucial in manufacturing where people are constantly working with heavy, costly, and sometimes dangerous equipment. When issues and problems arise, it is important that they be addressed in an efficient and timely manner. Effective communication is an important tool because it can prevent problems from recurring, avoid injury to personnel, reduce rework and scrap, and ultimately, reduce cost and save money. One strategy for improving communication is the huddle . Just like football players on the field, a huddle is a short meeting with everyone standing in a circle. A daily team huddle is a great way to ensure that team members are aware of changes to the schedule, any problems or safety issues are identified and that team members are aware of how their work impacts one another. When done right, huddles create collaboration, communication, and accountability to results. Impromptu huddles can be used to gather information on a specific issue and get each team member's input. To learn more about different problem solving strategies, choose an option below. These strategies accompany the outcomes of different decision paths in the problem solving exercise. View Problem Solving Strategies Select a strategy below... Root Cause Analysis How Huddles Work Brainstorming Importance of Good Problem Description Methods of Communication Communication is one of the most frequent activities we engage in on a day-to-day basis. At some point, we have all felt that we did not effectively communicate an idea as we would have liked. The key to effective communication is preparation. Rather than attempting to haphazardly improvise something, take a few minutes and think about what you want say and how you will say it. If necessary, write yourself a note with the key points or ideas in the order you want to discuss them. The notes can act as a reminder or guide during your meeting. Provide a clear summary of the problem. Start at the beginning, give relevant facts, timelines, and examples. In person: In the workplace, face-to-face meetings should be utilized whenever possible. Being able to see the person you need to speak to face-to-face gives you instant feedback and helps you gauge their response in their body language. Be careful of getting sidetracked in conversation when you need to communicate a problem. There is no "right" way to communicate, but you should be aware of how and when to use the appropriate form of communication for the situation. When deciding the best way to communicate with a co-worker or manager, put yourself in their shoes, and think about how you would want to learn about the issue. Also, consider what information you would need to know to better understand the issue. Use your good judgment of the situation and be considerate of your listener's viewpoint. "Never try to solve all the problems at once — make them line up for you one-by-one.” — Richard Sloma Problem Solving: An Important Job Skill Problem solving improves efficiency and communication on the shop floor. It increases a company's efficiency and profitability, so it's one of the top skills employers look for when hiring new employees. Recent industry surveys show that employers consider soft skills, such as problem solving, as critical to their business’s success. The 2011 survey, "Boiling Point? The skills gap in U.S. manufacturing ," polled over a thousand manufacturing executives who reported that the number one skill deficiency among their current employees is problem solving, which makes it difficult for their companies to adapt to the changing needs of the industry. In this video, industry professionals discuss their expectations and present tips for new employees joining the manufacturing workforce. Quick Summary [Quick Summary: Question1] What are two things you learned in this case study? What question(s) do you still have about the case study? [Quick Summary: Question2] What question(s) do you still have about the case study? Is there anything you would like to learn more about with respect to this case study? [Quick Summary: Question3] Is there anything you would like to learn more about with respect to this case study? Bipolar Disorder Therapy Center When To See a Therapist Types of Therapy Best Online Therapy Best Couples Therapy Managing Stress Sleep and Dreaming Understanding Emotions Self-Improvement Healthy Relationships Student Resources Personality Types Sweepstakes Guided Meditations Verywell Mind Insights 2024 Verywell Mind 25 Mental Health in the Classroom Editorial Process Meet Our Review Board Crisis Support Problem-Solving Strategies and Obstacles JGI / Jamie Grill / Getty Images Application Improvement From deciding what to eat for dinner to considering whether it's the right time to buy a house, problem-solving is a large part of our daily lives. Learn some of the problem-solving strategies that exist and how to use them in real life, along with ways to overcome obstacles that are making it harder to resolve the issues you face. What Is Problem-Solving? In cognitive psychology , the term 'problem-solving' refers to the mental process that people go through to discover, analyze, and solve problems. A problem exists when there is a goal that we want to achieve but the process by which we will achieve it is not obvious to us. Put another way, there is something that we want to occur in our life, yet we are not immediately certain how to make it happen. Maybe you want a better relationship with your spouse or another family member but you're not sure how to improve it. Or you want to start a business but are unsure what steps to take. Problem-solving helps you figure out how to achieve these desires. The problem-solving process involves: Discovery of the problem Deciding to tackle the issue Seeking to understand the problem more fully Researching available options or solutions Taking action to resolve the issue Before problem-solving can occur, it is important to first understand the exact nature of the problem itself. If your understanding of the issue is faulty, your attempts to resolve it will also be incorrect or flawed. Problem-Solving Mental Processes Several mental processes are at work during problem-solving. Among them are: Perceptually recognizing the problem Representing the problem in memory Considering relevant information that applies to the problem Identifying different aspects of the problem Labeling and describing the problem Problem-Solving Strategies There are many ways to go about solving a problem. Some of these strategies might be used on their own, or you may decide to employ multiple approaches when working to figure out and fix a problem. An algorithm is a step-by-step procedure that, by following certain "rules" produces a solution. Algorithms are commonly used in mathematics to solve division or multiplication problems. But they can be used in other fields as well. In psychology, algorithms can be used to help identify individuals with a greater risk of mental health issues. For instance, research suggests that certain algorithms might help us recognize children with an elevated risk of suicide or self-harm. One benefit of algorithms is that they guarantee an accurate answer. However, they aren't always the best approach to problem-solving, in part because detecting patterns can be incredibly time-consuming. There are also concerns when machine learning is involved—also known as artificial intelligence (AI)—such as whether they can accurately predict human behaviors. Heuristics are shortcut strategies that people can use to solve a problem at hand. These "rule of thumb" approaches allow you to simplify complex problems, reducing the total number of possible solutions to a more manageable set. If you find yourself sitting in a traffic jam, for example, you may quickly consider other routes, taking one to get moving once again. When shopping for a new car, you might think back to a prior experience when negotiating got you a lower price, then employ the same tactics. While heuristics may be helpful when facing smaller issues, major decisions shouldn't necessarily be made using a shortcut approach. Heuristics also don't guarantee an effective solution, such as when trying to drive around a traffic jam only to find yourself on an equally crowded route. Trial and Error A trial-and-error approach to problem-solving involves trying a number of potential solutions to a particular issue, then ruling out those that do not work. If you're not sure whether to buy a shirt in blue or green, for instance, you may try on each before deciding which one to purchase. This can be a good strategy to use if you have a limited number of solutions available. But if there are many different choices available, narrowing down the possible options using another problem-solving technique can be helpful before attempting trial and error. In some cases, the solution to a problem can appear as a sudden insight. You are facing an issue in a relationship or your career when, out of nowhere, the solution appears in your mind and you know exactly what to do. Insight can occur when the problem in front of you is similar to an issue that you've dealt with in the past. Although, you may not recognize what is occurring since the underlying mental processes that lead to insight often happen outside of conscious awareness . Research indicates that insight is most likely to occur during times when you are alone—such as when going on a walk by yourself, when you're in the shower, or when lying in bed after waking up. How to Apply Problem-Solving Strategies in Real Life If you're facing a problem, you can implement one or more of these strategies to find a potential solution. Here's how to use them in real life: Create a flow chart . If you have time, you can take advantage of the algorithm approach to problem-solving by sitting down and making a flow chart of each potential solution, its consequences, and what happens next. Recall your past experiences . When a problem needs to be solved fairly quickly, heuristics may be a better approach. Think back to when you faced a similar issue, then use your knowledge and experience to choose the best option possible. Start trying potential solutions . If your options are limited, start trying them one by one to see which solution is best for achieving your desired goal. If a particular solution doesn't work, move on to the next. Take some time alone . Since insight is often achieved when you're alone, carve out time to be by yourself for a while. The answer to your problem may come to you, seemingly out of the blue, if you spend some time away from others. Obstacles to Problem-Solving Problem-solving is not a flawless process as there are a number of obstacles that can interfere with our ability to solve a problem quickly and efficiently. These obstacles include: Assumptions: When dealing with a problem, people can make assumptions about the constraints and obstacles that prevent certain solutions. Thus, they may not even try some potential options. Functional fixedness : This term refers to the tendency to view problems only in their customary manner. Functional fixedness prevents people from fully seeing all of the different options that might be available to find a solution. Irrelevant or misleading information: When trying to solve a problem, it's important to distinguish between information that is relevant to the issue and irrelevant data that can lead to faulty solutions. The more complex the problem, the easier it is to focus on misleading or irrelevant information. Mental set: A mental set is a tendency to only use solutions that have worked in the past rather than looking for alternative ideas. A mental set can work as a heuristic, making it a useful problem-solving tool. However, mental sets can also lead to inflexibility, making it more difficult to find effective solutions. How to Improve Your Problem-Solving Skills In the end, if your goal is to become a better problem-solver, it's helpful to remember that this is a process. Thus, if you want to improve your problem-solving skills, following these steps can help lead you to your solution: Recognize that a problem exists . If you are facing a problem, there are generally signs. For instance, if you have a mental illness , you may experience excessive fear or sadness, mood changes, and changes in sleeping or eating habits. Recognizing these signs can help you realize that an issue exists. Decide to solve the problem . Make a conscious decision to solve the issue at hand. Commit to yourself that you will go through the steps necessary to find a solution. Seek to fully understand the issue . Analyze the problem you face, looking at it from all sides. If your problem is relationship-related, for instance, ask yourself how the other person may be interpreting the issue. You might also consider how your actions might be contributing to the situation. Research potential options . Using the problem-solving strategies mentioned, research potential solutions. Make a list of options, then consider each one individually. What are some pros and cons of taking the available routes? What would you need to do to make them happen? Take action . Select the best solution possible and take action. Action is one of the steps required for change . So, go through the motions needed to resolve the issue. Try another option, if needed . If the solution you chose didn't work, don't give up. Either go through the problem-solving process again or simply try another option. You can find a way to solve your problems as long as you keep working toward this goal—even if the best solution is simply to let go because no other good solution exists. Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. doi:10.3389/fnhum.2018.00261 Dunbar K. Problem solving . A Companion to Cognitive Science . 2017. doi:10.1002/9781405164535.ch20 Stewart SL, Celebre A, Hirdes JP, Poss JW. Risk of suicide and self-harm in kids: The development of an algorithm to identify high-risk individuals within the children's mental health system . Child Psychiat Human Develop . 2020;51:913-924. doi:10.1007/s10578-020-00968-9 Rosenbusch H, Soldner F, Evans AM, Zeelenberg M. Supervised machine learning methods in psychology: A practical introduction with annotated R code . Soc Personal Psychol Compass . 2021;15(2):e12579. doi:10.1111/spc3.12579 Mishra S. Decision-making under risk: Integrating perspectives from biology, economics, and psychology . Personal Soc Psychol Rev . 2014;18(3):280-307. doi:10.1177/1088868314530517 Csikszentmihalyi M, Sawyer K. Creative insight: The social dimension of a solitary moment . In: The Systems Model of Creativity . 2015:73-98. doi:10.1007/978-94-017-9085-7_7 Chrysikou EG, Motyka K, Nigro C, Yang SI, Thompson-Schill SL. Functional fixedness in creative thinking tasks depends on stimulus modality .  Psychol Aesthet Creat Arts . 2016;10(4):425‐435. doi:10.1037/aca0000050 Huang F, Tang S, Hu Z. Unconditional perseveration of the short-term mental set in chunk decomposition .  Front Psychol . 2018;9:2568. doi:10.3389/fpsyg.2018.02568 National Alliance on Mental Illness. Warning signs and symptoms . Mayer RE. Thinking, problem solving, cognition, 2nd ed . Schooler JW, Ohlsson S, Brooks K. Thoughts beyond words: When language overshadows insight. J Experiment Psychol: General . 1993;122:166-183. doi:10.1037/0096-3445.2.166 By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book." Math Practice Geogebra math practice. Math Practice is a tool for mastering algebraic notation. It supports students in their step-by-step math work, let's them explore different solution paths, and helps build confidence, fluency, and understanding. Getting started as a teacher or student Enhance your skills Immerse yourself in the world of algebraic problems to fine-tune your mathematical abilities and elevate your skillset Linear equations Order of Operations Algebraic Expressions Polynomials Unlocking the key elements Use interactive notation to build comfort and fluency with algebraic transformations Get adaptive hints and in-the-moment feedback to explore different solution paths Get comprehensive help and guidance focused on improving understanding of basic concepts Explore features If you require any guidance on how to use GeoGebra Math Practice, explore the articles in our help center. Guided tutorials If you are new to using this tool, we offer easy-to-follow guided tutorials. Graph Theory Problem solving There are N problems numbered 1..N which you need to complete. You've arranged the problems in increasing difficulty order, and the i th problem has estimated difficulty level i . You have also assigned a rating vi to each problem. Problems with similar vi values are similar in nature. On each day, you will choose a subset of the problems and solve them. You've decided that each subsequent problem solved on the day should be tougher than the previous problem you solved on that day. Also, to make it less boring, consecutive problems you solve should differ in their vi rating by at least K. What is the least number of days in which you can solve all problems? Input Format The first line contains the number of test cases T. T test cases follow. Each case contains an integer N and K on the first line, followed by integers v1,...,vn on the second line. Constraints 1 <= T <= 100 1 <= N <= 300 1 <= vi <= 1000 1 <= K <= 1000 Output Format Output T lines, one for each test case, containing the minimum number of days in which all problems can be solved. Sample Input Sample Output Explanation For the first example, you can solve the problems with rating 5 and 7 on the first day and the problem with rating 4 on the next day. Note that the problems with rating 5 and 4 cannot be completed consecutively because the ratings should differ by at least K (which is 2). Also, the problems cannot be completed in order 5,7,4 in one day because the problems solved on a day should be in increasing difficulty level. For the second example, all problems can be solved on the same day. Cookie support is required to access HackerRank Seems like cookies are disabled on this browser, please enable them to open this website Our Mission 6 Tips for Teaching Math Problem-Solving Skills Solving word problems is tougher than computing with numbers, but elementary teachers can guide students to do the deep thinking involved. A growing concern with students is the ability to problem-solve, especially with complex, multistep problems. Data shows that students struggle more when solving word problems than they do with computation , and so problem-solving should be considered separately from computation. Why? Consider this. When we’re on the way to a new destination and we plug in our location to a map on our phone, it tells us what lane to be in and takes us around any detours or collisions, sometimes even buzzing our watch to remind us to turn. When I experience this as a driver, I don’t have to do the thinking. I can think about what I’m going to cook for dinner, not paying much attention to my surroundings other than to follow those directions. If I were to be asked to go there again, I wouldn’t be able to remember, and I would again seek help. If we can switch to giving students strategies that require them to think instead of giving them too much support throughout the journey to the answer, we may be able to give them the ability to learn the skills to read a map and have several ways to get there. Here are six ways we can start letting students do this thinking so that they can go through rigorous problem-solving again and again, paving their own way to the solution.  1. Link problem-solving to reading When we can remind students that they already have many comprehension skills and strategies they can easily use in math problem-solving, it can ease the anxiety surrounding the math problem. For example, providing them with strategies to practice, such as visualizing, acting out the problem with math tools like counters or base 10 blocks, drawing a quick sketch of the problem, retelling the story in their own words, etc., can really help them to utilize the skills they already have to make the task less daunting. We can break these skills into specific short lessons so students have a bank of strategies to try on their own. Here's an example of an anchor chart that they can use for visualizing . Breaking up comprehension into specific skills can increase student independence and help teachers to be much more targeted in their problem-solving instruction. This allows students to build confidence and break down the barriers between reading and math to see they already have so many strengths that are transferable to all problems. 2. Avoid boxing students into choosing a specific operation It can be so tempting to tell students to look for certain words that might mean a certain operation. This might even be thoroughly successful in kindergarten and first grade, but just like when our map tells us where to go, that limits students from becoming deep thinkers. It also expires once they get into the upper grades, where those words could be in a problem multiple times, creating more confusion when students are trying to follow a rule that may not exist in every problem. We can encourage a variety of ways to solve problems instead of choosing the operation first. In first grade, a problem might say, “Joceline has 13 stuffed animals and Jordan has 17. How many more does Jordan have?” Some students might choose to subtract, but a lot of students might just count to find the amount in between. If we tell them that “how many more” means to subtract, we’re taking the thinking out of the problem altogether, allowing them to go on autopilot without truly solving the problem or using their comprehension skills to visualize it.  3. Revisit ‘representation’ The word “representation” can be misleading. It seems like something to do after the process of solving. When students think they have to go straight to solving, they may not realize that they need a step in between to be able to support their understanding of what’s actually happening in the problem first. Using an anchor chart like one of these ( lower grade , upper grade ) can help students to choose a representation that most closely matches what they’re visualizing in their mind. Once they sketch it out, it can give them a clearer picture of different ways they could solve the problem. Think about this problem: “Varush went on a trip with his family to his grandmother’s house. It was 710 miles away. On the way there, three people took turns driving. His mom drove 214 miles. His dad drove 358 miles. His older sister drove the rest. How many miles did his sister drive?” If we were to show this student the anchor chart, they would probably choose a number line or a strip diagram to help them understand what’s happening. If we tell students they must always draw base 10 blocks in a place value chart, that doesn’t necessarily match the concept of this problem. When we ask students to match our way of thinking, we rob them of critical thinking practice and sometimes confuse them in the process.  4. Give time to process Sometimes as educators, we can feel rushed to get to everyone and everything that’s required. When solving a complex problem, students need time to just sit with a problem and wrestle with it, maybe even leaving it and coming back to it after a period of time. This might mean we need to give them fewer problems but go deeper with those problems we give them. We can also speed up processing time when we allow for collaboration and talk time with peers on problem-solving tasks.  5. Ask questions that let Students do the thinking Questions or prompts during problem-solving should be very open-ended to promote thinking. Telling a student to reread the problem or to think about what tools or resources would help them solve it is a way to get them to try something new but not take over their thinking. These skills are also transferable across content, and students will be reminded, “Good readers and mathematicians reread.”  6. Spiral concepts so students frequently use problem-solving skills When students don’t have to switch gears in between concepts, they’re not truly using deep problem-solving skills. They already kind of know what operation it might be or that it’s something they have at the forefront of their mind from recent learning. Being intentional within their learning stations and assessments about having a variety of rigorous problem-solving skills will refine their critical thinking abilities while building more and more resilience throughout the school year as they retain content learning in the process.  Problem-solving skills are so abstract, and it can be tough to pinpoint exactly what students need. Sometimes we have to go slow to go fast. Slowing down and helping students have tools when they get stuck and enabling them to be critical thinkers will prepare them for life and allow them multiple ways to get to their own destination. 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Sometimes, we find ourselves unable to overcome our daily problems or the inevitable (though hopefully infrequent) life traumas we face. Problem-Solving Therapy aims to reduce the incidence and impact of mental health disorders and improve wellbeing by helping clients face life’s difficulties (Dobson, 2011). This article introduces Problem-Solving Therapy and offers techniques, activities, and worksheets that mental health professionals can use with clients. Before you continue, we thought you might like to download our three Positive Psychology Exercises for free . These science-based exercises explore fundamental aspects of positive psychology, including strengths, values, and self-compassion, and will give you the tools to enhance the wellbeing of your clients, students, or employees. This Article Contains: What is problem-solving therapy, 14 steps for problem-solving therapy, 3 best interventions and techniques, 7 activities and worksheets for your session, fascinating books on the topic, resources from positivepsychology.com, a take-home message. Problem-Solving Therapy assumes that mental disorders arise in response to ineffective or maladaptive coping. By adopting a more realistic and optimistic view of coping, individuals can understand the role of emotions and develop actions to reduce distress and maintain mental wellbeing (Nezu & Nezu, 2009). “Problem-solving therapy (PST) is a psychosocial intervention, generally considered to be under a cognitive-behavioral umbrella” (Nezu, Nezu, & D’Zurilla, 2013, p. ix). It aims to encourage the client to cope better with day-to-day problems and traumatic events and reduce their impact on mental and physical wellbeing. Clinical research, counseling, and health psychology have shown PST to be highly effective in clients of all ages, ranging from children to the elderly, across multiple clinical settings, including schizophrenia, stress, and anxiety disorders (Dobson, 2011). Can it help with depression? PST appears particularly helpful in treating clients with depression. A recent analysis of 30 studies found that PST was an effective treatment with a similar degree of success as other successful therapies targeting depression (Cuijpers, Wit, Kleiboer, Karyotaki, & Ebert, 2020). Other studies confirm the value of PST and its effectiveness at treating depression in multiple age groups and its capacity to combine with other therapies, including drug treatments (Dobson, 2011). The major concepts Effective coping varies depending on the situation, and treatment typically focuses on improving the environment and reducing emotional distress (Dobson, 2011). PST is based on two overlapping models: Social problem-solving model This model focuses on solving the problem “as it occurs in the natural social environment,” combined with a general coping strategy and a method of self-control (Dobson, 2011, p. 198). The model includes three central concepts: Social problem-solving The problem The solution The model is a “self-directed cognitive-behavioral process by which an individual, couple, or group attempts to identify or discover effective solutions for specific problems encountered in everyday living” (Dobson, 2011, p. 199). Relational problem-solving model The theory of PST is underpinned by a relational problem-solving model, whereby stress is viewed in terms of the relationships between three factors: Stressful life events Emotional distress and wellbeing Problem-solving coping Therefore, when a significant adverse life event occurs, it may require “sweeping readjustments in a person’s life” (Dobson, 2011, p. 202). Enhance positive problem orientation Decrease negative orientation Foster ability to apply rational problem-solving skills Reduce the tendency to avoid problem-solving Minimize the tendency to be careless and impulsive D’Zurilla’s and Nezu’s model includes (modified from Dobson, 2011): Initial structuring Establish a positive therapeutic relationship that encourages optimism and explains the PST approach. Assessment Formally and informally assess areas of stress in the client’s life and their problem-solving strengths and weaknesses. Obstacles to effective problem-solving Explore typically human challenges to problem-solving, such as multitasking and the negative impact of stress. Introduce tools that can help, such as making lists, visualization, and breaking complex problems down. Problem orientation – fostering self-efficacy Introduce the importance of a positive problem orientation, adopting tools, such as visualization, to promote self-efficacy. Problem orientation – recognizing problems Help clients recognize issues as they occur and use problem checklists to ‘normalize’ the experience. Problem orientation – seeing problems as challenges Encourage clients to break free of harmful and restricted ways of thinking while learning how to argue from another point of view. Problem orientation – use and control emotions Help clients understand the role of emotions in problem-solving, including using feelings to inform the process and managing disruptive emotions (such as cognitive reframing and relaxation exercises). Problem orientation – stop and think Teach clients how to reduce impulsive and avoidance tendencies (visualizing a stop sign or traffic light). Problem definition and formulation Encourage an understanding of the nature of problems and set realistic goals and objectives. Generation of alternatives Work with clients to help them recognize the wide range of potential solutions to each problem (for example, brainstorming). Decision-making Encourage better decision-making through an improved understanding of the consequences of decisions and the value and likelihood of different outcomes. Solution implementation and verification Foster the client’s ability to carry out a solution plan, monitor its outcome, evaluate its effectiveness, and use self-reinforcement to increase the chance of success. Guided practice Encourage the application of problem-solving skills across multiple domains and future stressful problems. Rapid problem-solving Teach clients how to apply problem-solving questions and guidelines quickly in any given situation. Success in PST depends on the effectiveness of its implementation; using the right approach is crucial (Dobson, 2011). Problem-solving therapy – Baycrest The following interventions and techniques are helpful when implementing more effective problem-solving approaches in client’s lives. First, it is essential to consider if PST is the best approach for the client, based on the problems they present. Is PPT appropriate? It is vital to consider whether PST is appropriate for the client’s situation. Therapists new to the approach may require additional guidance (Nezu et al., 2013). Therapists should consider the following questions before beginning PST with a client (modified from Nezu et al., 2013): Has PST proven effective in the past for the problem? For example, research has shown success with depression, generalized anxiety, back pain, Alzheimer’s disease, cancer, and supporting caregivers (Nezu et al., 2013). Is PST acceptable to the client? Is the individual experiencing a significant mental or physical health problem? All affirmative answers suggest that PST would be a helpful technique to apply in this instance. Five problem-solving steps The following five steps are valuable when working with clients to help them cope with and manage their environment (modified from Dobson, 2011). Ask the client to consider the following points (forming the acronym ADAPT) when confronted by a problem: Attitude Aim to adopt a positive, optimistic attitude to the problem and problem-solving process. Define Obtain all required facts and details of potential obstacles to define the problem. Alternatives Identify various alternative solutions and actions to overcome the obstacle and achieve the problem-solving goal. Predict Predict each alternative’s positive and negative outcomes and choose the one most likely to achieve the goal and maximize the benefits. Try out Once selected, try out the solution and monitor its effectiveness while engaging in self-reinforcement. If the client is not satisfied with their solution, they can return to step ‘A’ and find a more appropriate solution. Download 3 Free Positive Psychology Exercises (PDF) Enhance wellbeing with these free, science-based exercises that draw on the latest insights from positive psychology. Download 3 Free Positive Psychology Tools Pack (PDF) By filling out your name and email address below. Positive self-statements When dealing with clients facing negative self-beliefs, it can be helpful for them to use positive self-statements. Use the following (or add new) self-statements to replace harmful, negative thinking (modified from Dobson, 2011): I can solve this problem; I’ve tackled similar ones before. I can cope with this. I just need to take a breath and relax. Once I start, it will be easier. It’s okay to look out for myself. I can get help if needed. Other people feel the same way I do. I’ll take one piece of the problem at a time. I can keep my fears in check. I don’t need to please everyone. World’s Largest Positive Psychology Resource The Positive Psychology Toolkit© is a groundbreaking practitioner resource containing over 500 science-based exercises , activities, interventions, questionnaires, and assessments created by experts using the latest positive psychology research. Updated monthly. 100% Science-based. “The best positive psychology resource out there!” — Emiliya Zhivotovskaya , Flourishing Center CEO PST practitioners have many different techniques available to support clients as they learn to tackle day-to-day or one-off trauma. 5 Worksheets and workbooks Problem-solving self-monitoring form. Ask the client to complete the following: Describe the problem you are facing. What is your goal? What have you tried so far to solve the problem? What was the outcome? Reactions to Stress It can be helpful for the client to recognize their own experiences of stress. Do they react angrily, withdraw, or give up (Dobson, 2011)? The Reactions to Stress worksheet can be given to the client as homework to capture stressful events and their reactions. By recording how they felt, behaved, and thought, they can recognize repeating patterns. What Are Your Unique Triggers? Helping clients capture triggers for their stressful reactions can encourage emotional regulation. When clients can identify triggers that may lead to a negative response, they can stop the experience or slow down their emotional reaction (Dobson, 2011). The What Are Your Unique Triggers ? worksheet helps the client identify their triggers (e.g., conflict, relationships, physical environment, etc.). Problem-Solving worksheet Imagining an existing or potential problem and working through how to resolve it can be a powerful exercise for the client. Use the Problem-Solving worksheet to state a problem and goal and consider the obstacles in the way. Then explore options for achieving the goal, along with their pros and cons, to assess the best action plan. Getting the Facts Clients can become better equipped to tackle problems and choose the right course of action by recognizing facts versus assumptions and gathering all the necessary information (Dobson, 2011). Use the Getting the Facts worksheet to answer the following questions clearly and unambiguously: Who is involved? What did or did not happen, and how did it bother you? Where did it happen? When did it happen? Why did it happen? How did you respond? 2 Helpful Group Activities While therapists can use the worksheets above in group situations, the following two interventions work particularly well with more than one person. Generating Alternative Solutions and Better Decision-Making A group setting can provide an ideal opportunity to share a problem and identify potential solutions arising from multiple perspectives. Use the Generating Alternative Solutions and Better Decision-Making worksheet and ask the client to explain the situation or problem to the group and the obstacles in the way. Once the approaches are captured and reviewed, the individual can share their decision-making process with the group if they want further feedback. Visualization Visualization can be performed with individuals or in a group setting to help clients solve problems in multiple ways, including (Dobson, 2011): Clarifying the problem by looking at it from multiple perspectives Rehearsing a solution in the mind to improve and get more practice Visualizing a ‘safe place’ for relaxation, slowing down, and stress management Guided imagery is particularly valuable for encouraging the group to take a ‘mental vacation’ and let go of stress. Ask the group to begin with slow, deep breathing that fills the entire diaphragm. Then ask them to visualize a favorite scene (real or imagined) that makes them feel relaxed, perhaps beside a gently flowing river, a summer meadow, or at the beach. The more the senses are engaged, the more real the experience. Ask the group to think about what they can hear, see, touch, smell, and even taste. Encourage them to experience the situation as fully as possible, immersing themselves and enjoying their place of safety. Such feelings of relaxation may be able to help clients fall asleep, relieve stress, and become more ready to solve problems. We have included three of our favorite books on the subject of Problem-Solving Therapy below. 1. Problem-Solving Therapy: A Treatment Manual – Arthur Nezu, Christine Maguth Nezu, and Thomas D’Zurilla This is an incredibly valuable book for anyone wishing to understand the principles and practice behind PST. Written by the co-developers of PST, the manual provides powerful toolkits to overcome cognitive overload, emotional dysregulation, and the barriers to practical problem-solving. Find the book on Amazon . 2. Emotion-Centered Problem-Solving Therapy: Treatment Guidelines – Arthur Nezu and Christine Maguth Nezu Another, more recent, book from the creators of PST, this text includes important advances in neuroscience underpinning the role of emotion in behavioral treatment. Along with clinical examples, the book also includes crucial toolkits that form part of a stepped model for the application of PST. 3. Handbook of Cognitive-Behavioral Therapies – Keith Dobson and David Dozois This is the fourth edition of a hugely popular guide to Cognitive-Behavioral Therapies and includes a valuable and insightful section on Problem-Solving Therapy. This is an important book for students and more experienced therapists wishing to form a high-level and in-depth understanding of the tools and techniques available to Cognitive-Behavioral Therapists. For even more tools to help strengthen your clients’ problem-solving skills, check out the following free worksheets from our blog. Case Formulation Worksheet This worksheet presents a four-step framework to help therapists and their clients come to a shared understanding of the client’s presenting problem. Understanding Your Default Problem-Solving Approach This worksheet poses a series of questions helping clients reflect on their typical cognitive, emotional, and behavioral responses to problems. Social Problem Solving: Step by Step This worksheet presents a streamlined template to help clients define a problem, generate possible courses of action, and evaluate the effectiveness of an implemented solution. If you’re looking for more science-based ways to help others enhance their wellbeing, check out this signature collection of 17 validated positive psychology tools for practitioners. Use them to help others flourish and thrive. 17 Top-Rated Positive Psychology Exercises for Practitioners Expand your arsenal and impact with these 17 Positive Psychology Exercises [PDF] , scientifically designed to promote human flourishing, meaning, and wellbeing. Created by Experts. 100% Science-based. While we are born problem-solvers, facing an incredibly diverse set of challenges daily, we sometimes need support. Problem-Solving Therapy aims to reduce stress and associated mental health disorders and improve wellbeing by improving our ability to cope. PST is valuable in diverse clinical settings, ranging from depression to schizophrenia, with research suggesting it as a highly effective treatment for teaching coping strategies and reducing emotional distress. Many PST techniques are available to help improve clients’ positive outlook on obstacles while reducing avoidance of problem situations and the tendency to be careless and impulsive. The PST model typically assesses the client’s strengths, weaknesses, and coping strategies when facing problems before encouraging a healthy experience of and relationship with problem-solving. Why not use this article to explore the theory behind PST and try out some of our powerful tools and interventions with your clients to help them with their decision-making, coping, and problem-solving? We hope you enjoyed reading this article. Don’t forget to download our three Positive Psychology Exercises for free . Cuijpers, P., Wit, L., Kleiboer, A., Karyotaki, E., & Ebert, D. (2020). Problem-solving therapy for adult depression: An updated meta-analysis. European P sychiatry ,  48 (1), 27–37. Dobson, K. S. (2011). Handbook of cognitive-behavioral therapies (3rd ed.). Guilford Press. Dobson, K. S., & Dozois, D. J. A. (2021). Handbook of cognitive-behavioral therapies  (4th ed.). Guilford Press. Eysenck, M. W., & Keane, M. T. (2015). Cognitive psychology: A student’s handbook . Psychology Press. Nezu, A. M., & Nezu, C. M. (2009). Problem-solving therapy DVD . Retrieved September 13, 2021, from https://www.apa.org/pubs/videos/4310852 Nezu, A. M., & Nezu, C. M. (2018). Emotion-centered problem-solving therapy: Treatment guidelines. Springer. Nezu, A. M., Nezu, C. M., & D’Zurilla, T. J. (2013). Problem-solving therapy: A treatment manual . Springer. Share this article: Article feedback What our readers think. Thanks for your information given, it was helpful for me something new I learned Let us know your thoughts Cancel reply Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Related articles The Empty Chair Technique: How It Can Help Your Clients Resolving ‘unfinished business’ is often an essential part of counseling. If left unresolved, it can contribute to depression, anxiety, and mental ill-health while damaging existing [...] 29 Best Group Therapy Activities for Supporting Adults As humans, we are social creatures with personal histories based on the various groups that make up our lives. Childhood begins with a family of [...] 47 Free Therapy Resources to Help Kick-Start Your New Practice Setting up a private practice in psychotherapy brings several challenges, including a considerable investment of time and money. 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Get a "hint" if you're stuck, or show the answer to see what you've done wrong. Bootstrap 3 Bootstrap 4, bootstrap 5, kickstart your career. Get certified by completing the course COLOR PICKER Contact Sales If you want to use W3Schools services as an educational institution, team or enterprise, send us an e-mail: [email protected] Report Error If you want to report an error, or if you want to make a suggestion, send us an e-mail: [email protected] Top Tutorials Top references, top examples, get certified. Problem of the Week The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to educators for use with their students from Grades 3  to 12. The problems vary in difficulty and cover a wide range of mathematical concepts, making it an excellent tool for both learning and enrichment.  Problem of the Week has wrapped up for the 2023-2024 school year. Below you can find all problems and solutions that were sent. Problem of the Week will resume in September 2024. Below you will find the weekly problem across five grade levels. Grades 11/12 Gathering Treasure Subscribe now. Sign up to receive Problem of the Week straight in your inbox. New problems are sent every Thursday, and their solutions are sent one week later.  Problems and Solutions from 2024/2025  Below you will find problems from previous week(s).   View problemarrow_forward Downloaddownload View solutionarrow_forward Downloaddownload View problemarrow_forward Downloaddownload View solutionarrow_forward Downloaddownload View problemarrow_forward Downloaddownload View solutionarrow_forward Downloaddownload View problemarrow_forward Downloaddownload View solutionarrow_forward Downloaddownload View problemarrow_forward Downloaddownload View solutionarrow_forward Downloaddownload Problem and Solution Archive from 2023/2024, 2022/2023 Visit the archive page to access links to booklets containing all the problems and solutions from the last two years. The problems are organized into themes, grouping problems into various areas of the curriculum.   Information for educators Problems are organized into five themes: Algebra (A), Computational Thinking (C), Data Management (D), Geometry and Measurement (G), Number Sense (N). A problem may have more than one theme. Algebra (A) Patterning, Relations, Sequences, Functions Computational Thinking (C) Logic, Coding Data Management (D) Probability, Statistics Geometry and Measurement (G) Spatial Sense, Shape and Space, Trigonometry Number Sense (N) Numeration, Numbers, Number Theory, Financial Literacy These problems may be used in a variety of different ways including: posting the problems in a classroom, discussing the problems with students, and integrating the problems into their lessons. We know that educators will use these problems in many creative ways! Solutions will be sent out to educators one week after the problems are e-mailed.  The Math You Need, When You Need It math tutorials for students majoring in the earth sciences Orders of Magnitude - Practice Problems Solving earth science problems with orders of magnitude, estimating orders of magnitude. These problems will help you practice estimating orders of magnitude. Comparing Estimated Orders of Magnitude The questions below provide some practice comparing estimated orders of magnitude and applying that knowledge to determine how much larger or smaller a value is. Researcher's measurement = 1 x 10 -15 seconds -1 ;  The exponent on this value is -15; the estimated order of magnitude on this measurement is -15. Global estimate = 1 x 10 -14 seconds -1 ;  The exponent on this value is -14; the estimated order of magnitude on this measurement is -14. Student #1 = 4.66217 x 10 12 poise.  The exponent on this value is 12; the estimated order of magnitude on this measurement is 12. Student #2 = 3.8145 x 10 12 poise.  The exponent on this value is 12; the estimated order of magnitude on this measurement is 12. Calculating Orders of Magnitude These problems help you practice determining the order of magnitude of values. Comparing Calculated Orders of Magnitude The questions below provide some practice comparing orders of magnitude and applying that knowledge to determine how much larger or smaller a value is. 1 year: log 10 (1 year) = 0 To get a calculated order magnitude equal to 1, we need a log 10 (return period) = 0.5 because 0.5 will round to 1.  This happens at ~3 years:  log 10 (3 years) = 0.5    Return period of 1 year:  log10(1) = 0 no rounding needed Return period of 3 years:  log10(3) = 0.5.  This rounds to 1. 1-0 = 1  We need to use the graph to determine the discharge associated with a 3 year return period.  This  value is 5000 cfs.  The question has asked us to determine the difference in discharge between these two return periods. Discharge (3 year return period) - Discharge (1 year return period) = 5000 cfs - 2000 cfs = 3000 cfs The answer is 3000 cfs TAKE THE QUIZ!!   Or you can go back to the Orders of Magnitude explanation page . « Previous Page       Next Page » McKinsey Interview 2024 – Get Useful Advices from an Ex Consultant The McKinsey Case Interview , called the 'Problem Solving Interview' by the firm, is arguable the hardest challenge for candidates in their recruiting process. Among all consulting firms, it is the most feared since McKinsey eliminates a significant proportion of candidates during the case interview . The case plays a crucial role in the evaluation of candidates, besides the  Personal Experience Interview (PEI) . In fact, performing well in the case interview does not guarantee an offer. Rather candidates need to show clear and consistent spikes in performance across all interviews . That is the reason why only a minute percentage of interviewees will receive their desired offer and Forbes has ranked McKinsey as the toughest firm to interview for . Unfortunately, our coach  Florian  found that the information on the McKinsey application process and specifically the case interviews is often wrong, outdated, or assumed to be the same as for every other consulting firm. Consequently, the advice given is detrimental to your recruiting success with the firm.          In this article, I want to shed some light on this mysterious, often-talked about, even more often misunderstood McKinsey interview by answering the following questions: What is the McKinsey Problem Solving Interview? What skills are assessed in a case interview? What is the format of a McKinsey case? What questions are typical in a McKinsey case interview? How is the McKinsey case interview different from other consulting firms? How should you prepare for a McKinsey interview? What Is the McKinsey Problem Solving Interview? What Skills Are Assessed by McKinsey? What Is the Format of the McKinsey Case Study? What Are the Main McKinsey Interview Questions? Structuring/Exhibit Interpretation Importance of the Overall Picture McKinsey Case Examples How Is the McKinsey Case Interview Different from Other Consulting Case Interviews? Interviewer-led vs. Candidate-led Case Interview Structuring the Case How Should I Prepare for a McKinsey Case Interview? Tailored Case Frameworks Math And Chart Reading About the Author At the core, the McKinsey Problem Solving Interview is a case interview as it is employed by most consulting firms to  test the analytical capabilities and communication skills of applicants . The interview simulates a client situation, where you are tasked to solve a specific problem that they are facing. However, it comes with a twist. You will have to  answer a succession of several questions  rather than driving the case yourself as would be the case in other consulting firms. Within the interview, which is a dialogue between you and the interviewer, you need to iteratively structure problems propose concrete ideas gather information spot insights in data tables and charts solve quantitative problems deliver insights, implications, and test hypotheses communicate in a professional and calm manner The case is the hardest part for most candidates since it involves a number of different  skills that need to be demonstrated consistently across all questions and multiple cases  in succession. Depending on the office, applicants need to go through four to six case interviews before receiving an offer. You need to convince the interviewers about your performance in all cases. Let’s have a brief look at the different skills and the format of the interview. Broadly, there are six skills that are assessed in a case interview and that you need to demonstrate consistently: Structure:  Are you able to derive a MECE (mutually exclusive, collectively exhaustive) framework, breaking a problem down into smaller problems, accurately covering all aspects of the problem? Creativity:  Do you think about a problem holistically, offering broad, deep, and insightful perspectives. Are you able to come up with different angles to the problem (breadth) and draft rich descriptions that qualify why these areas are important to investigate (depth)? Analytical rigor and logical thinking : Can you link the structure to creative thinking? Are you using a hypothesis-driven approach to your problem solving , i.e. have a clear picture of where you think the solution of the case is buried most likely or where you want to go next? Do you qualify your thinking, follow your structure, tackle (likely) high-impact issues first and lead the interviewer? Mental math and basic calculus : Are you able to structure quantitative problems and comfortably perform calculations ? Can you derive the correct approach to calculate the desired outcome variable? Can you plug in the numbers and perform the calculations, relying on basic pen-and-paper math, shortcuts, and mental math ? Business sense and intuition : Are you able to quickly understand the business and the situation of the client? Can you swiftly interpret data, charts, exhibits, and statements made by the interview? Are you asking the right questions? Are you able to make sense of new information quickly and interpret it properly in the context of the case? Communication and maturity.  Are you able to communicate like a consultant ? Are you following a top-down communication approach similar to the Pyramid Principle taught by Minto? Do all of your statements add value, and do you guide the interviewer through your thinking with numbering and signposting? Are you leading the conversation or are merely getting dragged along by the interviewer? Are you confident and mature? Are you comfortable with silence while taking time to structure your thinking? Now, these skills are assessed in a very specific interviewing format , which is not natural for most applicants and needs significant practice to become second nature. A typical McKinsey case follows the PEI in a one-hour interview session. It lasts for  25 to 30 minutes in an interviewer-led format , meaning that the interviewer takes the lead and guides you through the case. Your role as the interviewee is to answer the questions asked by the interviewer before they will move on to the next question. That means that you should not be worried if the interviewer asks a question that goes in a different direction than what you recommended or proposed. While it is the interviewer’s responsibility to provide hints and move you through the different questions, you should take the lead within each question and almost treat every question like a mini case within itself.   Depending on your performance and speed,  you will be asked three or more questions . Only receiving three questions is actually a positive sign since the interviewer was happy with your answers to each question. Going above three questions usually happens when the interviewer wants to dig deeper into a specific question type to see if your performance is consistent or was just an outlier. Most candidates need more than three questions to convince the interviewer, so don’t be scared when your case gets a little bit longer and consists of more than three questions. Some offices also offer a phone case interview as a first screening device, which follows the same structure as the in-person interview. What questions are asked in a McKinsey interview? Let’s have a look! In a McKinsey case interview, you will have to answer  three different question types  – broadly speaking: Structuring/ idea generation Exhibit Interpretation A  case interview structure  is used to break the problem you are trying to solve for the client down into smaller problems or components. It is the roadmap you establish at the beginning of the interview that will guide your problem-solving approach throughout the case.  Idea generation on the other hand is a structured brainstorming exercise that should generate a variety of concrete ideas with a specific goal in mind. For  chart or data interpretation , you are tasked to find the key insights of 1-2 Powerpoint slides and relate them back to the case question and the client situation at hand.  Case math  questions have you analyze a problem mathematically before qualitatively investigating the particular reason for the numerical result or deriving specific recommendations from the outcome. Now for  structure and exhibit interpretation , there is no right or wrong. Some answers are better than others because they are hypothesis-driven, implications-oriented, and forward-thinking well communicated (top-down, numbered & signposted) That being said, there is no 100% that you can reach or single correct answers. It is important that your answers display the characteristics specified above and are supported well with strong arguments. As for  math questions , usually, there are answers which are objectively correct (not always 100% the same since some candidates simplify or round differently – which is ok), and others that are wrong, due to issues with the calculation approach calculation itself Now, for the interviewer, the overall picture counts. Small mistakes or ‘just-good’ performance in one area need to be balanced by a strong performance in other areas . Bigger mistakes must be avoided at all costs (e.g., answering the wrong question, completely wrong calculation approach, several calculation errors, or taking 3x longer than needed in math). McKinsey wants to see spikes in performance in certain areas and a good enough performance in other areas. Just performing well in all questions is not enough . Be aware that  in 99% of McKinsey cases, there is no recommendation question in the end.  The case just ends with the last case question. This is something many candidates are surprised by when they get out of their McKinsey interviews since they specifically practice for this. If you answer each case question properly, you could almost say that the recommendation is included in each individually. Lastly, be aware that for generalist consulting roles you do not have to expect any technical interview questions and you are not expected to have any relevant domain knowledge. Have a look at some of our interviewer-led cases from our Case Library ! Baby Clothing Market Entry While there are many similarities in McKinsey interviews and interviews with other firms, McKinsey interviews are interviewer-led, while  other firms employ a candidate-led format . McKinsey, BCG, Bain, and others’ cases have certain things in common: The individual elements of the cases are the same . You will have to structure problems, interpret exhibits, and work through some calculations, come up with hypotheses, recommendations, implications, next steps, etc. The skills that are assessed are the same . You need to exhibit strong problem-solving skills, creativity, ability to work under pressure, top-down communication, etc. However, there is one key difference: In interviewer-led cases, you take ownership of every question and go into greater detail here, while the interviewer guides you from question to question. In the interviewee-led case, you drive the whole case to ask for the correct information to work with, analyze the problem to then deduct a recommendation in the end In a McKinsey case , the interviewer will guide you through a series of connected questions that you need to answer, synthesize, and develop recommendations from, within each individual question. There are clear directions and a flow of questions, which you need to  answer with a hypothesis-driven mindset (prioritization, implications, next steps) . These are arguably easier to prepare for and to go through since the flow and types of questions will always be the same. In a candidate-led case interview, due to the nature of your role as an investigator, it is much easier to get lost , walk down the wrong branch of the issue tree , and waste a ton of time. While the interviewers will try to influence you to move in the right direction (pay attention to their hints), it is still up to you what elements of the problem you would like to analyze first . Each answer should lead to a new question (hypothesis-driven) on your quest to find the root cause of the problem to come up with a recommendation on how to overcome it. Another common misconception between McKinsey and other interviews relates to the structuring part of the case. The framework derived for McKinsey vs. a framework created for other consulting firms is usually quite different. At the core, McKinsey wants to see creative ideas communicated in a structured manner, the more exhaustive the better. Your goal should be to come up with a tailored and creative answer that fits the question. The framework should - broadly speaking - follow these three characteristics: insightful / creative At the lowest level of your structure, you need to showcase concrete ideas , qualify your answer with practical examples and more details. While for BCG, Bain , etc. you need to present your framework relatively swiftly within 1-3 minutes, to then dive deeper into the buckets where you think the solution of the case is buried, for McKinsey, there is no single solution (as discussed above). In a McKinsey interview, you can take up to 5-8 minutes to present your structure , your qualification, and hypotheses. This is due to the interviewer-led format that McKinsey employs. The interviewer will only ask 'what else' if you haven't gone broad or deep enough did not explain your ideas well enough for them to stand out (again, you have time here) The firm wants to see exhaustive and creative approaches to specific problems, which more often than not do not fit into the classic case interview frameworks that were en vogue 10 years ago... Again, this only applies if everything you say adds value to the problem analysis is well qualified includes a detailed discussion of your hypotheses at the end The difference in format and way of answering a question is the reason why I recommend preparing very differently for McKinsey interviews vs. other consultancies , which brings us to the last point. Most candidates prepare by learning generic frameworks. Do not learn case-specific frameworks by heart , expecting them to work for every case you will encounter. There are no specific frameworks that will always work in a McKinsey Problem Solving Interview. It is much more important to learn the right approach that will help you tackle all types of cases. While in 2024 this applies to all consulting firms, this is even more relevant for McKinsey interviews and the interviewer-led format. What you need to do is to study each individual question type , the associated skills in a case interview and learn how to approach it , regardless of the client situation, the context of the case, the industry, or function. Many candidates ask if there are specific cases for specific practices (e.g., operations) and then tailor their preparation for that practice, i.e. just practicing operations cases and learning operations frameworks by heart. The reality is that you will usually face a mix of cases in a domain-relevant context as well as cases set in a completely different context from the role you are applying for. Be aware that frameworks were applicable in the 2000 years , the era of Victor Cheng. McKinsey has long caught up on this and the cases you will get during the interviews are tailored in a way to test your creativity and ability to generate insights on the spot, not remember specific frameworks. In fact, it will hurt you when you try to use a framework on a case that calls for a completely different approach and fail to come up with creative and concrete ideas that are relevant, tailored, and actionable. Also, it gives a false sense of security that will translate to stress once you figure out how your approach won’t work during the real interview – I have seen this way too often… Similarly, there is no math problem or type of chart that is typical for a McKinsey interview. As with the structure, learn to deal with any math or chart problem that is thrown at you. Your goal should be - no matter the context, industry, or function of the case - to learn how to build issue trees for structure and idea generation interpret charts, derive the key insights, implications and relate them back to the case set-up approaches for quantitative problems, swiftly and accurately calculate with pen and paper, and interpret the results, derive implications, and relate it back to the case That is all there is, really. Once you have learned an approach that works from a coach that is experienced with McKinsey interviews, internalize the habits by practicing drills and live interviews with case partners  and your chances of belonging to the minute percentage of candidates that receive an offer will significantly increase. Now that you have reached the end of this article and have collected a lot of valuable information on how to  crack  the  McKinsey Interview which allows you to further tackle your case interview preparation. As Florian explained in his article, it is important to internalize the habits that are needed to ace the McKinsey interview process by practicing with peers. On PrepLounge, you have the opportunity to schedule meetings with peers and coaches at any time! Just accept a meeting on our Meeting Board  or propose one yourself! Alternatively, you can browse through the vast Candidate Listing to find a suitable meeting partner according to your needs and wishes! If you feel like you need some more support during your case interview preparation, there are a lot of ex-management consultants in our Coach Listing who are happy to share their knowledge with you.  So, make sure to schedule your meetings as soon as possible! Of course, your preparation for mathematical tasks should not be neglected! Use our Mental Math Tool to train your case interview math with respect to all basic operations. You can even compare yourself to the performance of the whole PrepLounge community. This will help you to be prepared for any calculation in your consulting interview. Lastly, make sure to practice your chart-reading skills by solving our Quizzes! The sooner you develop this useful skill, the better!  If you still have questions after that, feel free to ask them in our  Consulting Q&A . Our experienced coaches are happy to share their personal experiences and have valuable tips for you at hand! #1 rated McKinsey Case and PEI Coach | 5 years at McKinsey | Interviewer Experience | Imbellus Expert Professional Experience: Bitpanda, StrategyCase, McKinsey & Company, Kearney, Lufthansa Languages: English, German Location: Austria Florian became the #1 McKinsey coach (based on recommendation rate) within the first month of starting on PrepLounge. With  5 years at McKinsey , he knows the recruiting process inside out. He can help you ace the case interview and the PEI exactly like McKinsey wants you to succeed. His coachees continuously receive feedback from McKinsey interviewers that they seem to be much better prepared than other candidates . Interviewing and coaching 100s of candidates, he has developed a system to tackle every McKinsey case and question type successfully, regardless of the context, industry, or functional expertise. You will learn how to think like a McKinsey consultant and not rely on pre-learned frameworks that would only hurt your performance in the real case. Continue to Learn What Does a Strategy Consultant Do at McKinsey, Bain and BCG? McKinsey PEI (Personal Experience Interview) Get insider tips from a top consultant! MBB Consulting Salary – How Much Money Can You Make at MBB? Get insights from a top consultant! Select category General Feedback Case Interview Preparation Technical Problems Trust in AI is more than a moral problem Share on Facebook Share on LinkedIn Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More The economic potential of AI is uncontested, but it is largely unrealized by organizations, with an astounding 87% of AI projects failing to succeed. Some consider this a technology problem, others a business problem, a culture problem or an industry problem — but the latest evidence reveals that it is a trust problem. According to recent research, nearly two-thirds of C-suite executives say that trust in AI drives revenue, competitiveness and customer success. Trust has been a complicated word to unpack when it comes to AI. Can you trust an AI system ? If so, how? We don’t trust humans immediately, and we’re even less likely to trust AI systems immediately. But a lack of trust in AI is holding back economic potential, and many of the recommendations for building trust in AI systems have been criticized as too abstract or far-reaching to be practical. It’s time for a new “AI Trust Equation” focused on practical application. The AI trust equation The Trust Equation, a concept for building trust between people, was first proposed in The Trusted Advisor by David Maister, Charles Green and Robert Galford. The equation is Trust = Credibility + Reliability + Intimacy, divided by Self-Orientation. It is clear at first glance why this is an ideal equation for building trust between humans, but it does not translate to building trust between humans and machines. For building trust between humans and machines , the new AI Trust Equation is Trust = Security + Ethics + Accuracy, divided by Control. Security forms the first step in the path to trust, and it is made up of several key tenets that are well outlined elsewhere. For the exercise of building trust between humans and machines, it comes down to the question: “Will my information be secure if I share it with this AI system?” Ethics is more complicated than security because it is a moral question rather than a technical question. Before investing in an AI system, leaders need to consider: How were people treated in the making of this model, such as the Kenyan workers in the making of ChatGPT? Is that something I/we feel comfortable with supporting by building our solutions with it? Is the model explainable? If it produces a harmful output, can I understand why? And is there anything I can do about it (see Control)? Are there implicit or explicit biases in the model? This is a thoroughly documented problem, such as the Gender Shades research from Joy Buolamwini and Timnit Gebru and Google’s recent attempt to eliminate bias in their models, which resulted in creating ahistorical biases . What is the business model for this AI system? Are those whose information and life’s work have trained the model being compensated when the model built on their work generates revenue? What are the stated values of the company that created this AI system, and how well do the actions of the company and its leadership track to those values? OpenAI’s recent choice to imitate Scarlett Johansson’s voice without her consent, for example, shows a significant divide between the stated values of OpenAI and Altman’s decision to ignore Scarlett Johansson’s choice to decline the use of her voice for ChatGPT. Accuracy can be defined as how reliably the AI system provides an accurate answer to a range of questions across the flow of work. This can be simplified to: “When I ask this AI a question based on my context, how useful is its answer?” The answer is directly intertwined with 1) the sophistication of the model and 2) the data on which it’s been trained. Control is at the heart of the conversation about trusting AI, and it ranges from the most tactical question: “Will this AI system do what I want it to do, or will it make a mistake?” to the one of the most pressing questions of our time: “Will we ever lose control over intelligent systems?” In both cases, the ability to control the actions, decisions and output of AI systems underpins the notion of trusting and implementing them. 5 steps to using the AI trust equation  Determine whether the system is useful: Before investing time and resources in investigating whether an AI platform is trustworthy, organizations would benefit from determining whether a platform is useful in helping them create more value. Investigate if the platform is secure: What happens to your data if you load it into the platform? Does any information leave your firewall? Working closely with your security team or hiring security advisors is critical to ensuring you can rely on the security of an AI system. Set your ethical threshold and evaluate all systems and organizations against it: If any models you invest in must be explainable, define, to absolute precision, a common, empirical definition of explainability across your organization, with upper and lower tolerable limits, and measure proposed systems against those limits. Do the same for every ethical principle your organization determines is non-negotiable when it comes to leveraging AI. Define your accuracy targets and don’t deviate: It can be tempting to adopt a system that doesn’t perform well because it’s a precursor to human work. But if it’s performing below an accuracy target you’ve defined as acceptable for your organization, you run the risk of low quality work output and a greater load on your people. More often than not, low accuracy is a model problem or a data problem, both of which can be addressed with the right level of investment and focus. Decide what degree of control your organization needs and how it’s defined: How much control you want decision-makers and operators to have over AI systems will determine whether you want a fully autonomous system, semi-autonomous, AI-powered, or if your organizational tolerance level for sharing control with AI systems is a higher bar than any current AI systems may be able to reach. In the era of AI, it can be easy to search for best practices or quick wins, but the truth is: no one has quite figured all of this out yet, and by the time they do, it won’t be differentiating for you and your organization anymore. So, rather than wait for the perfect solution or follow the trends set by others, take the lead. Assemble a team of champions and sponsors within your organization, tailor the AI Trust Equation to your specific needs, and start evaluating AI systems against it. The rewards of such an endeavor are not just economic but also foundational to the future of technology and its role in society. Some technology companies see the market forces moving in this direction and are working to develop the right commitments, control and visibility into how their AI systems work — such as with Salesforce’s Einstein Trust Layer — and others are claiming that that any level of visibility would cede competitive advantage. You and your organization will need to determine what degree of trust you want to have both in the output of AI systems as well as with the organizations that build and maintain them. AI’s potential is immense, but it will only be realized when AI systems and the people who make them can reach and maintain trust within our organizations and society. The future of AI depends on it. Brian Evergreen is author of “Autonomous Transformation: Creating a More Human Future in the Era of Artificial Intelligence .” DataDecisionMakers Welcome to the VentureBeat community! DataDecisionMakers is where experts, including the technical people doing data work, can share data-related insights and innovation. If you want to read about cutting-edge ideas and up-to-date information, best practices, and the future of data and data tech, join us at DataDecisionMakers. You might even consider  contributing an article  of your own! Read More From DataDecisionMakers Data Science Trending Now Data Structures System Design Foundational Courses Practice Problem Machine Learning Data Science Using Python Web Development Web Browser Design Patterns Software Development Product Management Programming PROBLEM OF THE DAY : 26/08/2024 | Wildcard Pattern Matching Welcome to the daily solving of our PROBLEM OF THE DAY with Saurabh Bansal We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Dynamic Programming but also build up problem-solving skills. Given two strings  pattern and  str which may be of different size, You have to return 1 if the wildcard pattern i.e. pattern, matches with str else return 0 . All characters of the string str and pattern always belong to the Alphanumeric characters. The wildcard pattern can include the characters ? and * ‘?’ – matches any single character. ‘*’ – Matches any sequence of characters (including the empty sequence). Note:  The matching should cover the entire str (not partial str). Input: pattern = "ba*a?", str = "baaabab" Output: 1 Explanation: replace '*' with "aab" and '?' with 'b'. Give the problem a try before going through the video. All the best!!! Problem Link: https://practice.geeksforgeeks.org/problems/wildcard-pattern-matching/1 482 IMAGES 5 step problem solving method 3 Tips for Effective Problem Solving Questions to Help Kids Solve Problems (Infographic) Top 10 Skills Of Problem Solving With Examples Lesson 3 Problem Solving Practice Write Two Step Equations Answers 10 Tips for Improving Your Problem-solving Skills VIDEO integration question 34 exercise 7.2 L-1 Regular Practise Rotational Dynamics Numericals (IMPORTANT AND REPEATED QUESTIONS ONLY) Maharashtra Board 2022 ! 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Problem of the Week These problems may be used in a variety of different ways including: posting the problems in a classroom, discussing the problems with students, and; integrating the problems into their lessons. We know that educators will use these problems in many creative ways! Solutions will be sent out to educators one week after the problems are e-mailed. PDF A PROBLEM-SOLUTION PROJECT Problem Solving: Identifies and states a problem related to topic under study. Suggests alternative solutions to a problem. Chooses a solution to a problem after supplying the evidence. Social Studies: Civic Participation: Follows established rules. Shows respect toward others. Orders of Magnitude Problem 12: This graph shows data for the discharge of a river (in units of cubic feet per second) compared to the return period (in units of years). Return periods represent estimates of the time between floods of certain sizes. For instance, the largest floods will have the highest discharge and they happen less frequently (i.e., they have a longer return period). McKinsey Case Interview 2024 A case interview structure is used to break the problem you are trying to solve for the client down into smaller problems or components.It is the roadmap you establish at the beginning of the interview that will guide your problem-solving approach throughout the case. Idea generation on the other hand is a structured brainstorming exercise that should generate a variety of concrete ideas with ... Trust in AI is more than a moral problem Brian Evergreen, The Future Solving Company. May 27, 2024 12:05 PM. Evergreen/Dall-E 3. Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI ... PROBLEM OF THE DAY : 26/08/2024 Welcome to the daily solving of our PROBLEM OF THE DAY with Saurabh Bansal We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Dynamic Programming but also build up problem-solving skills. Given two strings pattern and str which may be of different size, You have to return 1 if the wildcard ... assignment essay homework paper phd report resume review speech thesis