year 6 problem solving activity

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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Free Year 6 Maths Worksheets And SATs Revision Worksheets: Download, Print Or View Online

Sophie Bessemer

Here you’ll find all our free Year 6 maths worksheets and Year 6 SATs revision workshee t s that you can download and use straight away.

Inevitably, many of these have been designed originally to be Year 6 SATs revision worksheets for pupils preparing for their end of primary school KS2 SATs but whether they are sitting their SATs or not, they still need to know the content, and you still want them ready for Year 7 maths next year at secondary school.

If you’re a parent looking for more advice, try our  home learning hub full of home learning packs , tips and teaching ideas for Year 6 Maths at Home and maths homework and more about the KS2 SATs which take place in May every year for Year 6.

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

A note on the Year 6 maths worksheets provided

All the Third Space Learning Year 6, KS2 maths worksheets and SATs revision worksheets are printable; most are in pdf format, some are designed as slides, but if you don’t want to print for whatever reason all the worksheets can be viewed online too. 

We always include answers in our maths resource packs but for any teachers wanting to delve further into any of these topics take a look at our KS2 Maths teaching guides which cover everything from long division to pie charts. And if you’re after something a bit more lighthearted in the run up to SATs, our collection of maths games , in particular the KS2 maths games are always popular.

How we’ve selected the Year 6 maths worksheets

We are providing here a selection of the pdf Year 6 maths worksheets and, Year 6 maths tests that we believe can be used with minimal support by 10 or 11 year olds as part of their home learning.

The focus here is on retrieval practice . This means working on skills and knowledge a Year 6 should already have been taught (even if they can’t remember it yet!) and supporting them with strategies to approach SATs questions rather than teaching them new content.

Inevitably there’s a focus at this stage on ensuring pupils core number work is really sound, and on the topics that lend themselves well to Year 6 maths worksheets. There’s nothing here for example on identifying shapes or properties of shapes such as parallelograms or quadrilaterals because you can find these easily online already.

Primary National Curriculum guidance and links to other support is given where relevant alongside the maths worksheets.

Free Year 6 Maths Worksheets and Tests

A collection of free Year 6 maths activities and worksheets from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

Year 6 Place Value Worksheets

Year 6 addition and subtraction worksheets, year 6 multiplication and division worksheets, year 6 four operations worksheets, year 6 fractions worksheets, year 6 percentages worksheets, year 6 decimals worksheets, year 6 algebra worksheets, year 6 fluency, reasoning and problem solving skills practice, year 6 sats tests and revision resources, year 6 maths worksheets on place value: all kinds of word problems.

These Year 6 number and place value worksheets give lots of practice on two-step and three-step word problems to strengthen children’s understanding of place value and ordering numbers.

Download the free Year 6 Number and Place Value worksheets

Year 6 SATs Revision Worksheets on place value: SATs Revision Packs

If you find a Year 6 child is struggling with the place value word problems, then you might want to try some more refresher place value questions and activities with them.

If giving as homework encourage parents to read our explainer What is Place Value and then work through these SATs Revision packs on place value, which cover basic number facts all the way to decimal numbers, designed to for use in the final year of primary school.

Topics covered include: Ordering and Comparing Numbers to 10 Million, Ordering and Comparing Numbers to 3 Decimal Places, Rounding Whole Numbers and Decimals.

Download the free SATs Revision Packs on Place Value

Year 6 Maths Worksheets on addition and subtraction: Gap Plugging Pack

These lessons are what we use during our online maths interventions. The year 6 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. As they are intended to be used by a tutor teaching and supporting a child through their Year 6 addition and subtraction understanding, parents may need to be prepared to step in occasionally. 

Download the free Year 6 Addition & Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!

Year 6 Maths Worksheets on multiplication and division: Gap Plugging Pack

More examples of Year 6 maths slides from our online maths tuition, this time on multiplication and division.

Download the free Year 6 Multiplication & Division worksheets

Year 6 SATs Revision Worksheets: Times Tables Tests

It’s essential that children become proficient and quick at their times tables and schools really need parents support in this. By Year 6 children should know all their multiplication facts up to the 12 times table and beyond (i.e 10 times bigger and smaller than 12 too) and be able to identify common multiples, and common factors.

Here are some quick Year 6 maths tests that they can mark themselves to identify any gaps in their multiplication tables and track their progress.

Download the free Year 6 Times Tables Tests

Year 6 Maths Worksheets on long multiplication

These upper KS2 worksheets provide over 45 long multiplication questions that progress from multiplying 2-digit by 2-digit numbers to 4-digit by 2-digit word problems of the sort Year 6 pupils are likely to encounter in SATs.

Download the free Year 6 Long Multiplication worksheets

Year 6 Maths Worksheets on division

By Year 6 children should have moved their understanding of division on to the formal long division method and they will be ready tackle these long division worksheets.

The questions start with short division so a child can progress from 1-digit number division to 2-digit and 3-digit division using division facts and multiples. 

Download the free Year 6 Long Division worksheets

Year 6 Maths Worksheet on the four operations: All Kinds of Word Problems

Mastering BODMAS and the order of operations is key in Year 6 as they start working with indices, square numbers and brackets as well as the standard four operations of addition, subtraction, multiplication and division. This set of KS2 maths worksheets gives 40 word problems of increasing levels of difficulty; if a child struggles with the year 6 four operations questions, then suggest they look at the Year 3, 4 or 5 maths problems instead.

Download the free Year 6 Four Operations worksheet

Year 6 Maths Worksheet on the four operations: Code Crackers

While most pupils will be confident when tackling the four operations, it always helps to have a worksheet that provides some maths revision. This entertaining maths activity not only recaps the four operations through number problems but also when the answers are correctly found, they create the punchline to a joke. 

Download Year 6 Maths Worksheet on the four operations: Code Crackers

Year 6 Maths Worksheet on the four operations: Worked Examples

In Year 6, children will recap previous learning in the four operations but they will also learn long division and focus on BODMAS. There will always be children who will have gathered and maintained misconceptions throughout their schooling or recently found themselves making common mistakes. This worked example worksheet is a perfect way to discuss common errors children make. 

Download Year 6 Maths Worksheet on the four operations: Worked Examples

Year 6 Maths Worksheets on adding and subtracting fractions: Gap Plugging Pack

Year 6 adding and subtracting fractions questions from our online maths lessons

Download the free Year 6 Adding and Subtracting Fractions worksheets

Year 6 Maths Worksheets on multiplying and dividing fractions : Gap Plugging Pack

Year 6 multiplying and dividing fractions questions from our online maths lessons .

Download the free Year 6 Multiplying and Dividing Fractions worksheets

Year 6 Maths Worksheet on fractions: All Kinds of Word Problems

This free year 6 fractions worksheet is a collection of word problems that enable 11 year olds to see a variety of different ways that fraction problems can be constructed, including adding and subtracting fractions, working out equivalent fractions and simplifying fractions

Download the free Year 6 Fractions worksheet

Year 6 Maths Worksheet on fractions: Code Crackers

When children are in Year 6, there are a lot of different elements to fractions that they need to remember. This worksheet provides a fun recap of everything they will have been taught throughout the Year 6 fractions block while they find the answer to a silly joke. The fractions questions include adding fractions with different denominators, multiplying proper fractions by integers and multiplying two proper fractions. 

Download Year 6 Maths Worksheet on fractions: Code Crackers

Year 6 Maths Worksheet on fractions: Worked Examples

This worksheet involves a set of fractions questions that have been solved but not all have been correctly solved. The pupils will need to ‘become the teacher’ to mark the work presented to them and edit any incorrect answers they find. The focus of this resource is mainly on identifying and explaining errors to develop reasoning skills. 

Download Year 6 Maths Worksheet on fractions: Worked Examples

Year 6 Maths Worksheets on percentages: Code Crackers

Revision for 10 and 11 year olds on a perennially tricky SATs topic – Year 6 percentages – all in a fun format that allows Year 6 children the satisfaction of cracking a topical code at the end.

Download the free Year 6 percentages worksheets

Year 6 Maths Worksheets on percentages: Worked Examples

This worksheet encourages children to convert between percentages, fractions and decimals as well as finding equivalents to a given percentage and using percentages in context (in money). There is an added challenge of the questions being solved, ready for the children to check the answers for errors. 

Download Year 6 Maths Worksheets on percentages: Worked Examples

Year 6 Maths Worksheets on decimals: Code Crackers

Recap Year 6 decimals knowledge in order to crack the code .

Download the free Year 6 decimals worksheets

Year 6 Maths Worksheets on decimals: Worked Examples

This worked example worksheet focuses on common eros made within this topic, for example multiplying a decimal number by 100 and multiplying an integer by a decimal number. 

Download Year 6 Maths Worksheets on decimals: Worked Examples

Year 6 Maths Worksheets on algebra: Code Crackers

Recap Year 6 algebra knowledge in order to crack the code.

Download the free Year 6 algebra worksheets

Year 6 Maths Worksheets on algebra: Worked Examples 

Algebra is a new topic for Year 6, although children will have experienced it under different names (for example, missing number problems). This worksheet focuses on the common errors that are made then using function machines, finding possible values and using formula. 

Download Year 6 Maths Worksheets on algebra: Worked Examples 

Year 6 Maths Worksheets on algebra and measures: Independent Recap

These quick worksheets are our newest resource, aimed at being tasks children can work through with minimal support from parents or teachers. This pack contains four worksheets focused on forming and solving two step equations, and converting metric measurements – a double helping of key SATs topics.

Download the Year 6 Algebra and Measures Independent Recap Worksheets Pack

Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental arithmetic questions a day using either a written or mental method. It’s a fantastic way to develop children’s numeracy and build up their speed in preparation for the KS2 SATs Arithmetic paper.

Download the free Year 6 Arithmetic Worksheets

Year 6 Maths Worksheets for problem solving and reasoning: Rapid Reasoning

Children often struggle with maths reasoning at KS2 , e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them. Each Year 6 reasoning worksheet has approximately 4 questions on it.

Download the free Year 6 Reasoning Worksheets

Year 6 SATs Tests and Year 6 Maths Papers

Of course one of the skills the SATs papers test is identifying exactly what the question is asking for, and which maths operation to undertake. The following practice Year 6 maths sats papers or Year 6 SATs tests provide a range of question types and topics, requiring children to switch between multiplication and division to 2D shapes and 3D shapes from one question to the next. They all include answer sheets so children can self mark as required.

Download 6 free KS2 SATs Papers

Download your free Year 6 maths test

Year 6 SATs Revision Worksheets: Worked Examples

This pack contains a series of SATs style arithmetic and reasoning questions that have already been solved, although the answers may not be correct. Each year 6 sats revision worksheet encourages pupils to find and explain errors, not just focus on finding the correct answer. Again the topics are all mixed up, so the first step is in finding what is being tested.

Download free Year 6 Maths Worked Examples

Year 6 SATs Reasoning Questions

Central to the new maths mastery approach to teaching maths at primary school is the idea that all children of all abilities should be able to solve multi step word problems in maths and reason well. This is why two of the three KS2 SATs papers are SATs reasoning papers.

While these aren’t on a SATs revision worksheet, there are plenty of examples here to help 10 and 11 year olds to practise these kind of questions.

35 Free Year 6 Maths Reasoning Questions

If you have pupils who need a boost for SATs next year, talk to one of our schools team about the results you can expect from our one to one SATs revision lessons . We’ve also collected the best SATs revision resources if you’re planning your own SATs intervention, including a breakdown of the topics and order that we believe is most effective in giving pupils a firm grasp of maths and enabling them to achieve 100 in SATs .

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths  Curriculum Toolkit for 8 & 9 Year Olds
• Year 4 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly primary school tuition designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn about the year 6 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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National Curriculum In England: Mathematics Programmes Of Study

Students are entering a new section of math that consists of algebra, geometry, decimals, and more complicated division problems. When there is not a parent or teacher around, students have access to on-demand videos for their sixth-grade mathematical lessons. Our video tutorials are taught by math teachers who go through the problem solving process.

• The key to learning math is repetition, and our math teachers go through multiple examples. 
• Math teachers show students step-by-step directions on how to solve these more complex problems.
• Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum.

Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

Problem solving.

A variety of problem solving activities including time and money.

A perimeter/area investigation.

A good knowledge of the order of operations is needed for this problem solving task.

Find the cost of different numbers of houseplants.

Tricky addition which may need jottings to complete.

Here are sets of word problems only needing one step to solve, but it is not always obvious what calculation to carry out to reach the answer.

Here are some longer problems written in words. You need to work out more than one thing to get the answers.

Quite tricky word problems involving money, often requiring several steps to complete.

A good knowledge of metric measures is needed to complete these questions.

Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs.

An atlas with time zones is needed for the first activity and there are line graphs on time to interpret.

When answering these problems say which operation is needed and whether it can be done mentally, on paper or with a calculator.

More on choosing the most appropriate method of calculating.

Tricky calculations working out the best and worst meal deals.

Purchasing various items from a vending machine. Tricky calculating with money.

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Quick and easy way to multiply 2-digit numbers by 11 - why does it work?

Show all your calculating skills with just four fours.

A first look at triangle numbers.

More on triangle numbers.

Further investigations involving triangle numbers.

Some great patterns can be found when dividing by 9 or 11, and using square numbers.

Plenty of ideas to help with investigations and inventing similar problems.

More investigations on adding consecutive numbers, dividing by a half, writing a simple formula as well as shape patterns.

Investigate numbers and shapes; quite tricky.

Complete a variety of number sequences and say what the rule for each sequence is. Some negative number work as well.

Using a multiplication square to look for number patterns: there are certainly plenty of them! Further sequence work, including Fibonacci.

Try the Ancient Egyptian method of multiplying. Great, if you are good at adding up!

Tips and hints on how to use a calculator to ensure correct answers.

Holiday Problem Solving

A tricky selection of resources all linked to a holiday theme.

Very tricky to find the best options.

Very tricky calculations to find the best deal.

Finding the best deal is harder than it might seem!

A holiday which might cost more than it should unless there is some careful calculating.

This is complicated with special offers and percentages off making finding the cheapest deal difficult to work out.

More difficult than you might think to find the cheapest deal, including percentages.

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.

A collection of puzzles to solve - some easy and some quite tricky. Ideal for the end of term.

Place the numbers 1 to 9 in the boxes so that each side of the triangle adds up to 20.

Replace the hexagons in the calculation with numbers: logical thinking needed.

Find the mathematical words in these anagrams.

Turn your calculator upside down to read the words!

A calculator is needed for this fun challenge.

This might not seem possible but with a little imagination it can be done.

How many moves to get all the coins on heads?

Nifty little puzzle with more than one solution.

More to do with square numbers than shapes!

Finding pairs of numbers that add up to square numbers. Tricky!

How many ways of making 15. Have you got all of them?

Can you make prime numbers by adding two square numbers?

Lots of coins and not change for £1.

Neat little code-breaker. Can you come up with others?

Logical thinking needed here.

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Word Problems and Reasoning for Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Other

Last updated

16 December 2023

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Over 40 pages containing more than 300 reasoning and problem solving activities for Year 6 with answers - enough to last an entire year. The activities can be downloaded as PDFs or as editable Word documents.

Free samples of three of these resources are available from my shop:

https://www.tes.com/teaching-resource/decimals-reasoning-and-problem-solving-12201156

https://www.tes.com/teaching-resource/solving-length-problems-year-6-12201157

https://www.tes.com/teaching-resource/comparing-fractions-reasoning-and-problem-solving-12201154

These resources have been tried and tested with Year 6 pupils.

Problems often mirror SATs style questionning or else require pupils to explain their reasoning. These resources can be used in conjunction with White Rose schemes.

Topics covered:

Long multiplication Short division Long division Factors and multiples Order of operations Reason from known facts Equivalent fractions and simplification Improper fractions and mixed numbers Comparing fractions using a common denominator Addition and subtraction of fractions Addition and subtraction of fractions Multiplication of fractions Division of fractions Position and direction Decimals with 3 decimal places Multiplication and division of decimals by integers Converting between fractions and decimals Equivalence of fractions, decimals and percentages Finding percentages of amounts Algebraic expressions and substitutions Solving algebraic word problems Solving equations Enumerating possibilities Reasoning and problem solving with measures Solving length problems Solving measurement problems Problem solving with area and perimeter Reasoning with area and perimeter Area of triangles Volume The language of ratio Recipe problems Scale factors Proportion problems Angles

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Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

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Working Backwards at KS1   Age 5 to 7

Working Backwards at KS2   Age 7 to 11

Reasoning   Age 5 to 11

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