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Free Year 3 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

Sophie Bessemer

To make it easier for schools, teachers and even parents, we’ve collected here all our free Year 3 Maths Worksheets and Year 3 Maths Tests that you can use to support Year 3 maths classroom teaching and homework.

The focus here is on practising and improving pupils’ core skills and revising what you have taught them in class, especially with numbers worksheets. National Curriculum guidance is given where relevant and each year 3 worksheet and year 3 test includes answer sheets.

All the free KS1 and KS2 maths worksheets and resource are in printable pdf format that can also be used directly on screen. If you’re looking for other slides-based teaching resources and lesson plans, we recommend you look at our range of White Rose maths lessons.

If you’re a parent looking for more advice, try our home learning   home learning hub full of home learning packs , tips and teaching ideas for Year 3 Maths at Home and maths homework .

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.

Free Year 3 Maths Worksheets and Tests

Register now with the Third Space Maths Hub (Use Chrome) to download all our free Year 3 maths worksheets, workbooks and resources

Year 3 free place value worksheets

Other year 3 place value worksheets:, year 3 free addition and subtraction worksheets, year 3 free multiplication and division worksheets, other year 3 multiplication and division worksheets, year 3 free fractions worksheets, other year 3 fractions worksheets, year 3 free measurement worksheets, other year 3 measurement worksheets, year 3 geometry worksheets, year 3 free statistics worksheets, other year 3 statistics worksheets, year 3 fluency, reasoning and problem solving worksheets, also in this series…, year 3 maths worksheets on place value: all kinds of word problems.

These Year 3 number and place value worksheets give lots of practice on one-step and two-step word problems to strengthen children’s understanding of place value and ordering numbers.

Download the free Year 3 Number and Place Value workbook

Year 3 place value worksheets: Maths Code Crackers

This place value worksheet provides a fun recap of the place value topic. Children need to solve place value questions (including writing numbers, comparing numbers and ordering numbers) to find the answer to a pirate themed joke. 

Download the free Maths Code Crackers Year 3 Place Value   

Year 3 place value worksheets: Worked Examples Place Value  

Children love to be the teacher! These worksheets include five answered questions, but they haven’t always been answered correctly. Children need to check the given answers to place value questions involving number lines, Base 10 and counters and explain the errors they find.

Download the free Year 3 Worked Examples Place Value

Year 3 Maths Worksheets on addition and subtraction: Gap Plugging Pack

These lessons are what we use during our online maths interventions. The year 3 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 3 addition and subtraction understanding, parents may need to be prepared to step in occasionally. 

Download the free Year 3 Addition and Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!

Year 3 Maths Worksheets on multiplication: All Kinds of Word Problems

The Y ear 3 multiplication worksheets work on children’s understanding of multiplication facts and multiplication tables in context. Year 3 is a big times tables year so make sure you encourage the learning of times tables at home .

Download the free Year 3 Multiplication worksheets

Year 3 Maths Worksheets on division: Short and Long Division Worksheets

Teaching the long division metho d as part of KS2 maths lessons is a challenge for many teachers let alone parents. Year 3 children won’t be ready for long division as it is not taught until upper key stage 2 but these long division worksheets start with short division so a child can progress from from 1-digit number division to division with 2-digit numbers using division facts and multiples.  See also this parents guide to division for kids.

Download the free Year 3 division worksheets

Year 3 Maths Worksheets on multiplication & division: Code Crackers

We’ve combined what 7 and 8 year old children should know by the Spring term of Year 3 to create these ‘retrieval’ practice tasks. This means they are able to work through a series of questions that revisits what they’ve learnt in class. 

Download the free Year 3 multiplication & division worksheets

Year 3 Division Word Problems Worksheets: All Kinds of Word Problems on Division Year 3

This workbook includes a range of different types of worded problems to challenge children. The questions range from ‘traditional’ worded problems to missing number problems to make sure children have a good understanding of division.

Download All Kinds of Word Problems on Division Year 3

Year 3 Division Worksheets: Let’s Practice Using the Bar Model Division Year 3

Division can be very challenging for some children. These worksheets encourage the use of bar models to visualise and solve different division problems. With either scaffolded sheets (showing the relevant bar model) or non-scaffolded sheets, these worksheets provide a range of worded division problems that can be easily solved with the help of a bar model. 

Download Let’s Practise Using the Bar Model Division Year 3 Maths Worksheets

Year 3 Multiplication and Division Worksheets: Worked Examples Multiplication and Division

These worksheets show a range of techniques used when teaching multiplication and division in Year 3. In these worksheets, children are presented with completed questions using formal column multiplication, sharing, partitioning and using a number line to complete calculations, but the answers are not always right. Children will need to work through the questions to find the correct answer and explain the errors. 

Download Year 3 Worked Examples Multiplication and Division

Year 3 Maths Worksheets on fractions: Independent Recap

Our newest resource – these time saving maths worksheets are designed to be completed by children with little support from parents or teachers, making them great homework activities for busy afternoons. This pack contains four worksheets that cover ordering, adding and subtracting fractions.

Download the Year 3 Fractions Independent Recap Worksheets Pack

Year 3 Maths Worksheets on fractions: All Kinds of Word Problems

Understanding of fractions starts early and builds progressively in key stage 2. This year 3 fractions worksheet provides questions around unit and non-unit fractions including comparing and ordering and adding and subtracting; lots more fractions for kids help is available. 

Download the free Year 3 Fractions worksheets

Year 3 fractions worksheet: Code Crackers 

This fun worksheet focuses on comparing and ordering fractions, finding equivalent fractions as well as adding and subtracting fractions, all to find the answer to a joke.

Download Year 3 Fractions Worksheet: Code Crackers

Year 3 fractions worksheets: Worked Examples

Fractions are not always easy for all children to understand. By looking at and correcting the work of others, children often find it easier to explain mistakes. This worksheet focuses on enabling children to identify and explain the mistakes in a range of fractions questions, including fractions on a number line and fractions of amounts.

Download Year 3 Fractions Worksheet: Worked Examples

Year 3 fractions worksheets: Let’s Practise Using the Bar Model Fractions and Decimals

This worksheet encourages the use of bar models to solve fractions questions. While decimals are not taught explicitly in Year 3, this worksheet introduces two questions that involve decimals to start to develop the connection between fractions and decimals. 

Download Let’s Practise Using the Bar Model Fractions Year 3 Maths Worksheets

Year 3 Maths Worksheets on money: Code Crackers

Money is a surprisingly big part of the Year 3 maths curriculum. The Code Crackers series of maths worksheets is perfect for Year 3 homework as it requires very little intervention from parents. There is no new content introduced. 

Download the free Year 3 Money worksheets

Year 3 money worksheets: Worked examples

Adding and subtracting money is an important life skill and part of the Year 3 curriculum. This worksheet covers adding and subtracting money in pounds and pence, including the use of estimating and number lines.

Download Year 3 money worksheet: Worked Examples

Year 3 time worksheets: Code Crackers

Year 3 children are expected to have a good understanding of time (including telling the time, knowing time language, know key time facts and compare durations of time). While this is a lot to know, this worksheet will help to recap these facts in an engaging way. 

Download Year 3 time worksheet: Code Crackers

Year 3 Maths Worksheets on Time: Year 3 Worked Examples Time

This worksheet focuses on a small selection of the Year 3 time topic that children often struggle with including telling the time to the nearest minute, understanding 24-hour time and finding the duration of events. 

Download Year 3 time worksheet: Worked Examples

Year 3 Maths Worksheets on Properties of Shape: Independent Recap

These worksheets have been designed so that children can independently recap key learning about key properties of 2D shape and 3D shapes as well as angles and naming different lines. While some of the questions might seem simple, each sheet includes a challenge to encourage reasoning skills. 

Download Year 3 properties of shape worksheet: Independent Recap Week 9 Download Year 3 properties of shape worksheet: Independent Recap Week 10

Year 3 Maths Worksheets on Properties of Shape: Maths Code Crackers Year 3

While children are taught about shapes from Year 1, they are expected to use more complex language to describe a range of shapes in Year 3. This worksheet focuses on the properties of 2-D and 3-D shapes, including and understanding of lines of symmetry and angles. 

Download Year 3 properties of shape worksheet: Maths Code Crackers

Year 3 Maths Worksheets on Properties of Shape: Year 3 Worked Examples

This worksheet focuses more on the key vocabulary needed to describe properties of shape including vocabulary for lines (vertical/ parallel), 2-D shapes (quadrilateral) and angles (acute angles, right angles).

Download Year 3 Maths Worksheets on Properties of Shape: Year 3 Worked Examples

Year 3 Maths Worksheets on statistics: Code Crackers

Children are presented one-step and two-step retrieval questions about a bar chart and table. The worksheet helps them to develop their ability to read and interpret data presented in different ways. Simple tables are not new to Year 3 pupils and bar charts build on their existing knowledge of block diagrams.

Download the free Year 3 Statistics worksheets  

Year 3 Maths Worksheets on statistics: Worked examples

In this worksheet, children are presented with a table, pictogram and a bar chart to read and interpret. This worksheet highlights some of the common errors that are made by Year 3 children in statistics lessons.

Download the year 3 statistic worksheet: Year 3 Worked examples

Year 3 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; at this age, your child has to answer 4 questions using either a written or mental method and it’s a fantastic way to develop their numeracy. You’ll be amazed how quickly they become able to switch back and forth from column addition to the mental method with 3-digit numbers! 

Download the free Year 3 Arithmetic worksheets

Year 3 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 3 maths reasoning worksheet has approximately 4 questions on it.

Download the free Year 3 Reasoning worksheets

Year 3 Maths Test: Times Tables

It’s essential that children become proficient and quick at their times tables especially now the multiplication tables check is coming into force and schools really need parents support in this. Here are some quick times tables tests that Year 3 children can mark themselves to identify any gaps in their times tables and track their progress.

Download the free Year 3 Times Tables tests

Year 3 Maths Test: All Topics

This Year 3 maths assessment covers the entire Year 3 maths curriculum and is a great way to get an overall view of how a child is doing in maths. There are two tests: a year 3 maths arithmetic test and a year 3 maths reasoning test. Although the time allowed may vary, at home we recommend setting aside an hour for each. Remember that some topics they may not yet have covered in class, so like any formative or summative assessment it’s only a snapshot. 

Download the free Year 3 Maths test 

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 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
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

Looking for fun games and activities to boost pupils’ learning? We’ve got several articles sharing teacher approved maths activities and fun maths games , including KS2 maths games , KS1 maths games and KS3 maths games for all maths topics and a set of 35 times tables games and multiplication games you’ll want to bookmark whichever year group you teach!

Read more: Commutative property

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

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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 3-5 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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FREE Fluent in Five Weeks 1 to 6 (Years 1 to 6)

Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

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Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8)

Money problems and challenges.

A variety of problem solving activities involving money.

50p to spend, but can you make sure you get the correct change?

Watch out when writing pence as pounds and remember to always have two digits after the decimal point.

The hardest part of these money problems is to read the question and work out what to do.

Put three items in your basket that you would like to buy and then use the money cards to work out the sum.

Solve money problems using the information provided.

Solve money problems at the skating rink.

Plenty of monkey business here!

It's a trip to the zoo to find the very best value.

Some tricky money problems to solve.

More tricky money problems to solve.

Finding different amounts from a given set of coins.

Number and calculating problems

Solve number problems and calculating using addition, subtraction, multiplication and division.

Find the 2-digit numbers that can be made using these digit cards.

Make 2-digit numbers and find the smallest and largest numbers.

More on finding 2-digit numbers from three digit cards.

Tricky little problems involving monsters' legs.

Use logic, addition and subtraction to find out how many strawberries are eaten.

Bar Model: addition and subtraction facts.

Use bar models to add and subtract.

Encourage children to make addition and subtraction come to life by writing short number stories.

What numbers can you make with digit cards?

What are the largest and smallest numbers that can be made with 3 cards?

More number stories to write: this time all about multiplication and division.

All the numbers are here, but the signs are missing! Can you work out what the signs should be?

Investigating odd and even numbers and what happens when you add them together.

Use knowledge of place value to find all possible answers.

Finding the numbers and missing digits to make number sentences correct.

Investigate statements involving odd and even numbers.

Investigate statements about multiplication and times tables.

I?m good at thinking of numbers, but can you work out what number I am thinking about ? I do give a clue!

Work out the missing value using division and addition.

Use reasoning to find the missing values.

More on finding the missing values - an early introduction to algebra.

Use division and addition to find the missing values.

Find the missing values from the information given.

More on finding the value using reasoning.

Real life and word problems

A selection of real life problems and word problems.

Tricky word problems.

More tricky word problems.

Tricky questions, but you only have to carry out one maths step to answer them.

Even trickier questions, and you have to carry out at least two steps to work them out!

More word problems, from the library to shopping and on to flying around the world.

Here we have four pages of questions all on time, including a trip to Alicante!

Solving tricky fraction problems.

More challenges and activities

A great selection of activities requiring logical thinking.

Investigation looking at possibilities when adding the digits from 1 to 5.

This time you can decide the total for the sides of the triangle.

Can you put the numbers 1 to 9 in the diagram so that the difference between each pair of joined numbers is odd?

This challenge is to find as many ways as possible of making 12 using three number cards and the add, subtract and multiply signs.

A development of the 'Caterpillar investigation' but using multiples of 10. Great for practising addition.

3 dinosaurs laid some eggs. They laid 19 altogether. How many did they each lay?

How many ways can three runners cover a distance of 19 miles? They all have to run an odd number of miles.

A book challenge here. How accurately can you guess the number of pages in books?

2D card shapes and a 3 x 3 pinboard are useful for these shape activities.

A calculator is needed to find how many different answers can be made from the numbers given. Good for working in an organised, logical way.

A brief summary of some of the most important maths concepts to be taught in Year 3 by way of challenges and investigations.

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Year 3 Maths Worksheets UK Hub Page

Welcome to our Year 3 Maths Worksheets area. Here you will find links to our Year 3 Math worksheets for your child will enjoy.

Come and take a look at our multiplication pages, or money flashcards. Perhaps you would prefer our telling the time worksheets, maths games or identifying 2d and 3d shapes in the geometry section?

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

• 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 3 Maths Learning

Here are some of the key learning objectives for the end of Year 3:

• know and use Place value up to 1000
• Compare and order numbers up to 1000
• Counting on and back in 1s, 10s and 100s from different starting points
• Position numbers on a number line up to 1000
• know addition and subtraction facts to 20
• add or subtract 1s, 10s or 100s from a 3-digit number
• subtract 2- and 3-digit numbers in columns
• solve problems using addition and subtraction
• count from 0 in multiplies of 4, 8, 50 and 100
• recall and use multiplication and division facts from the 2, 3, 4, 5, 8 and 10 times tables
• multiply 2-digit numbers by a 1-digit number
• solve problems using multiplication and division
• count up and down in tenths
• understand tenths as decimals
• recognise and use fractions as numbers
• understand and use fractions of objects or shapes
• add and subtract amounts of money
• use £ and p notation correctly
• measure, compare, add and subtract lengths, mass and volume
• measure the perimeter of simple 2D shapes
• tell the time from an analogue clock
• convert between 12- and 24-hour clock
• measure and compare times
• Identify angles including right angles
• identify acute and obtuse angles
• identify horizontal, vertical, parallel and perpendicular lines
• recognise and draw 2D and 3D shapes
• interpret and present data in bar graphs, pictograms and tables
• solve 1-step and 2-step problems using data in tables, pictograms and graphs

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 3 is generally equivalent to 2nd Grade in the US.

On this page you will find link to our range of math worksheets for Year 3.

Quicklinks to Year 3 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions 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 3 place value charts.

Here you will find a range of Free Printable Number Charts for Years 2 & 3.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200
• Number Grid up to 300

Place Value & Counting Worksheets

Below are our selection of Place Value, Ordering and Rounding Worksheets

Using these Year 3 Maths worksheets will help your child to:

• learn to count by hundreds, tens, fives, twos and ones;
• learn their place value to Hundreds;
• order numbers to 999.
• Place Value Models and Representations
• Place Value Worksheets 3 Digits
• Math Practice - Counting by 1s 2s 5s 10s 100s

Ordering and Rounding Worksheets (3-digits)

Once your child is confident with their place value to hundreds, they can start learning about ordering and rounding numbers.

The Year 3 Maths worksheets here will help your child learn to compare numbers to 999, and round numbers to the nearest 10.

• Ordering Numbers Worksheets up to 3-Digits

Year 3 Number Line Worksheets

The following webpages involve correctly placing numbers on a number line.

Using these Year 3 maths worksheets will help your child to:

• count by 1s 2s 5s 10s 50s and 100s;
• position numbers on a number line;
• understand place value up to 3 digits.
• Number lines up to 100 (easier)
• Number Line Worksheets 3 Digits

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Year 3 Mental Maths Zone

Here you will find a range of printable mental math sheets for Year 3 to enjoy.

Each quiz 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 test or math quiz!

• Year 3 Mental Maths Worksheets Series A
• Year 3 Mental Maths Worksheets Series B

Year 3 Addition Worksheets

• learn their addition facts to 20+20
• learn how to solve addition sums where one of the addends is missing, but the total is given;
• learn to add numbers to 999 in columns.
• Number Bonds to 20
• Math Addition Facts to 20
• 2 Digit Column Addition Without Regrouping
• 2 Digit Column Addition Worksheets With Regrouping
• 3 Digit Column Addition Worksheets

Year 3 Subtraction Worksheets

The following worksheets involve using the skills of subtracting numbers, and solving subtraction problems.

• know their subtraction facts to 20;
• know how addition and subtraction are related to each other;
• learn to do 3 digit column subtraction.
• Subtraction Facts to 20 Worksheets
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• 3 Digit Subtraction Worksheets

Addition & Subtraction Worksheets

You can create your own addition and subtraction worksheets with our random generator.

All you need to do is to set your number size and let the generator do the rest!

• Addition Subtraction Fact Worksheets
• Column Addition and Subtraction Worksheets

Year 3 Multiplication Worksheets

The following worksheets involve using the Year 3 Maths skills of multiplying, and solving multiplication problems.

• learn their multiplication tables up to 5 x 5;
• understand multiplication as repeated addition;
• learn how multiplication and division are related to each other.

Online Times Table Practice

• Times Tables Online Practice Zone
• Understanding Multiplication Worksheets
• Printable Times Tables - 2 Times Table sheets
• Printable Times Tables - 3 Times Table sheets
• Times Tables for kids - 4 Times Table sheets
• Times Table Math - 5 Times Table sheets
• Learning Times Tables - 8 Times Table

Multiplication Word Problems

• Year 3 Multiplication Word Problems (2nd Grade)

Randomly Generated Multiplication Worksheets

• Times Tables Worksheets (randomly generated)

2 Digit by 1 Digit Written Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit
• Year 3 Division Worksheets

The following worksheets involve using the skills of dividing, and solving division problems.

Using these Year 3 maths worksheets will help your child learn to:

• understand division as repeated subtraction or sharing;
• understand different models of division;
• Division Facts Worksheets (randomly generated)

Here are a range of problems solving sheets for Year 3 children. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

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

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Year 3 Maths Challenges

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

• Year 3 Math Word Problems

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade

These sheets involve solving a range of subtraction word problems up to 100.

• Subtraction Word Problems 2nd grade
• 2nd Grade Addition and Subtraction Word Problems

These sheets involve solving a range of multiplication problems.

• Multiplication Word Problems Year 3

Year 3 Fraction Worksheets

• understand what a half is;
• shade in half of a shape;
• find different numbers involving 'halves' on a number line;
• find half of different numbers up to 20.
• Fraction Math Worksheets - Understanding a half
• Fraction Riddles for kids (easier)

Year 3 Geometry Worksheets

At a Year 3 level, children are introduced to a wider range of 2d and 3d shapes, and start to learn to reflect, flip and rotate shapes.

They are able to classify and sort two-dimensional shapes using different criteria, and they learn the properties of three-dimensional shapes.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 3 Geometry Worksheets (2nd Grade)

Symmetry Worksheets

• learn how to reflect simple shapes in a horizontal or vertical mirror line;
• learn how to reflect simple shapes in 2 mirror lines.
• Symmetry Worksheets - Block Symmetry

Measurement Zone, including Time & Money

Year 3 measurement worksheets.

These sheets involve reading scales going up in ones, fives, tens and hundreds to find the length, weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 3 Measurement Worksheets (2nd Grade)

Counting Money Worksheets UK - £2, £1, 50p and 20p coins

Here you will find a selection of Counting Money sheets designed to help your child count different amounts of money using UK coins up to £2.

• count a range of coins up to £5
• compare money amounts
• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.

The free Year 3 Money worksheets in this section are suitable for children in Years 2 and 3.

• Free Money Worksheets UK Coins up to £1
• Year 3 Money Worksheets to £5
• Money Riddles for Kids (UK coins)
• Year 3 Money Challenges

Time Worksheets

Here are our collection of clock worksheets for Year 3. These sheets cover telling the time for quarter past and quarter to times.

• read times to the nearest 5 minutes;
• convert analogue to digital times;
• adding and subtracting hours from different times.
• Clock Worksheets - Quarter Past and Quarter To
• Telling Time to 5 Minutes Worksheets
• Add and Subtract Time Worksheets

Year 3 Bar Graph Worksheets

These sheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones or twos.

Draw missing bars on a bar graph to the correct height.

Use the information in a bar graph to add data into a table.

Using the link below will open the 2nd grade Math Salamanders website in a new browser window.

• Year 3 Bar Graphs (2nd Grade)

Fun Zone: Puzzles, Games and Riddles

Year 3 math games.

All children like to play Math games, and you will find a good range of 2nd Grade Math Games here for your child to play and enjoy.

The following games involve different Second Grade Math activities which you and your child can enjoy together.

• Year 3 Math Games (2nd Grade)
• Year 3 Maths Puzzles

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

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Reasoning and Problem Solving Questions Collection - KS1 and KS2

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

10 March 2023

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These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS.

The answers are provided with some simple notes at the back of the booklet and for some problems supplementary questions and variation has been provided.

As always we welcome any feedback on the work we are doing and the materials that we are releasing. Thank you for taking an interest in our work. The White Rose Maths Hub Team

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A very good and engaging way to teach mastery of maths. Thank you for sharing

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INTRODUCTION

As you keep taking more advanced math courses in the future, you will keep seeing more operations, procedures, or functions that cancel each other out. Many operations, procedures, or functions come in pairs. Whatever one operation does, the other one will undo.

By now, you are fairly familiar with two pairs of such operations:

• Addition and subtraction
• Multiplication and division

In this collaboration, we will be discussing two more pairs of operations that cancel each other out:

• Squaring a number (or simply multiplying it by itself two times) and finding a square root.
• Cubing a number (or simply multiplying it by itself three times) and finding a cube root.

Similar to what we did in Collaboration 3.6, let’s illustrate it with an example:

• Pick any non-negative number. This example will use 11.
• Next, square the number that you picked. In this example, 11 2 = 121.
• Next, square root the number for the previous step. You can do it by pressing the √ key on your calculator. In my case, \(\sqrt{121}\) = 11. Note : In this collaboration, all examples involve positive numbers, which is why we disregard the negative value.
• 11 is the same number that I started with! This shows how squaring a number and taking a square root of a number cancel each other out.

This is not a coincidence. It works for any numbers and variables. For example,

• \(\sqrt{71^{2}}\) = 71
• \(\sqrt{x^{2}}\) = x

The same applies to cubes and cube roots. Let’s illustrate with an example:

• Pick any number. This example will use 8.
• Next, cube the number that you picked. In my case, 8 3 = 512.
• Next, cube root the number for the previous step. You can do it by pressing the \(\sqrt[3]{x}\) key on your calculator. In my case, \(\sqrt[3]{512}\) = 8.
• 8 is the same number that I started with and so did you! This shows how cubing numbers and taking a cube root of a number cancel each other out.
• \(\sqrt[3]{87.5^{3}}\) = 87.5
• \(\sqrt[3]{T^{3}}\) = T

SPECIFIC OBJECTIVES

By the end of this collaboration, you should understand that

• To solve any equation, one must follow the basic rules of undoing and keeping the equation balanced.

By the end of this collaboration, you should be able to

• Solve linear equations that require simplification before solving.
• Solve for a variable in a linear equation in terms of another variable.
• Solve for a variable in a single-term quadratic equation.

PROBLEM SITUATION: SOLVING EQUATIONS OF DIFFERENT FORMS

Solving equations such as the Widmark equation for blood alcohol content (BAC) and proportional equations for resizing graphics is an important skill. Mathematical models are often constructed to represent real-life situations. Being able to use these equations fully includes being able to solve for various unknown variables in the equation. Below are three scenarios to help you practice and enhance your equation-solving skills. With each answer, check that it is reasonable given the context and check that you have included the correct units with your solution.

(1) Paula has two options for going to school. She can carpool with a friend or take the bus. Her friend estimates that driving will cost 22 cents per mile for gas and 8.2 cents per mile for maintenance of the car. Additionally, there is a $25 parking fee per week at the college. If Paula carpools, she would pay half of these costs. The cost of the carpool can be modeled by the following equation where C is the cost of carpooling per week and m is the total miles driven to school each week:

\[C = \frac{1}{2}(0.082m + 0.22m + 25)\nonumber \]

(a) On your own, take a minute to think about what the 12 represents in the equation above.

(b) In your group, discuss what each term inside the parentheses represents.

(c) In the given formula, 0.082m is the total maintenance costs for m miles and 0.22m is the total gas cost for m miles. Since both terms include the same variable with the same exponent, they can be combined into one term by adding (or subtracting) their coefficients. Discuss in your group how to rewrite the given formula by combining like-terms. In other words, rewrite the given formula to only include one term that represents the cost per mile.

(d) Find the total weekly carpooling cost if the commute to school is seven miles each way and Paula goes to school three times a week. First try this on your own, then discuss as a group when everyone is ready. Round to the nearest cent.

(e) A weekly bus pass costs $22.00 dollars. How many total miles must Paula commute to school each week for the carpool cost to be equal to the bus pass? First try this on your own, then discuss as a group when everyone is ready. Round to the nearest hundredth.

(f) How many trips to school each week must Paula make for the bus pass to be less expensive than carpooling? First try this on your own, then discuss as a group when everyone is ready.

(2) Recall Widmark’s equation for BAC. In the case of the average male who weighs 190 pounds, 24 you can simplify Widmark’s formula to get

\[B = −0.015t + 0.022N\nonumber \]

Forensic scientists often use this equation at the time of an accident to determine how many drinks someone had. In these cases, time (t) and BAC (B) are known from the police report. The crime lab uses this equation to estimate the number of drinks (N).

(a) Find the number of drinks if the BAC is 0.09 and the time is two hours. First try this on your own, then discuss as a group when everyone is ready. Round to the nearest drink.

(b) Since forensic scientists use the formula to solve for N, it is easier if the formula is rewritten so that it actually solves for N. In the space below, solve for N in terms of t and B. In other words, rewrite the equation so N is isolated on one side of the equation and all other terms are on the other side. First try this on your own, then discuss as a group when everyone is ready.

(c) Use the new formula to find the number of drinks if the BAC is 0.17 and the time is 1.5 hours. First try this on your own, then discuss as a group when everyone is ready. Round to the nearest drink.

(3) You volunteer for a nonprofit organization interested in women’s issues. The logo for your nonprofit organization is three identical squares arranged as follows:

(a) The organization wants to make banners of different sizes. Find an equation that can be used to find the total area of the logo based on the length of the side of one of the squares. First try this on your own, then discuss as a group when everyone is ready.

Assume that the 3 squares have the same dimensions.

(b) The organization is sponsoring a walk-a-thon to raise funds for breast cancer research. You want to recreate this logo (forming the three squares) in the middle of the racetrack with bras that have been collected at multiple drop-off sites around the city. You estimate that approximately 1,500 square feet of bras have been donated. How long should you make each side of the square? Round to two decimal places.

MAKING CONNECTIONS

Record the important mathematical ideas from the discussion.

___________________________________

24 http://www.cdc.gov/nchs/fastats/body-measurements.htm