year 3 maths addition problem solving

Addition & subtraction in Year 3 (age 7–8)

In Year 3, your child will use a range of strategies for calculating addition and subtraction problems. They will need to be able to explain how they have solved problems, especially when using mental maths.

The key words for this section are  commutative , difference , and place value .

What your child will learn

Take a look at the National Curriculum expectations for addition and subtraction in Year 3 (ages 7–8):

Add and subtract numbers mentally

Your child will need to mentally calculate sums involving:

  • a three-digit number and 1s (for example, 234 +/– 7)
  • a three-digit number and 10s (for example, 534 +/– 20)
  • a three-digit number and 100s (for example, 635 +/– 300)

They will be taught lots of strategies to do this. It is good to use several strategies to check answers.

Add and subtract numbers with up to three digits

Estimate answers to calculations and use inverse operations to check answers.

Estimate £5.73 + £13.12 + £2.14 = ? Rounding to the nearest £1, the sum is £6 + £13 + £2 = £21. So, when we work out the answer accurately, we can except the answer to be about £21. If it is not, we know that something has probably gone wrong with our calculation.

Solve complex problems using number facts and place value

Your child should now know several different ways to work out addition and subtraction problems. These include using place value, number facts, partitioning, and diagrams. They will need to be able to choose a method to solve a problem, and to check their answer using a different method.

Your child should be able to explain how they have solved a problem and why they have chosen a particular method. Using pictures and symbols can be a good way to explain your thought process.

How to help at home

There are lots of quick and easy ways that you can help your child to understand addition and subtraction. Here are just a few everyday ideas to support your child’s learning:

1. Use the language of addition and subtraction

Using the correct mathematical vocabulary will get your child used to deconstructing word problems, and will make them familiar with the kinds of words they will hear in school.

Try to use mathematical language like  add , altogether , more , plus , total ,   and sum when adding. When your child finds the answer to an addition calculation, encourage them to use the word total or sum . If they talk about the fact that you can add numbers in any order and get the same answer, encourage them to use the word commutative .

There is also a lot of mathematical vocabulary related to subtraction. When your child tells you the answer to a subtraction calculation, encourage them to refer to this as the difference . For example, ‘7 – 3 = 4’ could be read as ‘the difference between 7 and 3 is 4’. They should also try to use the language take away , subtract , minus , less , fewer , and so on.

Try writing out the addition and subtraction symbols (‘+’ and ‘–’) along with the related words on cards (for example,  add , altogether , more , plus , total , sum , take away , subtract , minus , less , and  fewer) . Help your child to link the words to the correct symbol. If necessary, help them to read some of the words.

2. Try calculating mentally

It’s important for your child to develop their mental calculation skills. It is useful in everyday life, especially when technology (and paper) may not be available or appropriate, such as when you are shopping. Confidence in mental maths will help your child when making quick estimates and checking their calculations, too.

Encourage your child to use different methods when calculating mentally, such as counting on, counting back, and partitioning numbers. Your child should use their knowledge of place value, rounding, and inverse operations to make estimates and check their answers.

If your child is working on a problem and they announce the answer, ask them to explain how they solved the problem. They could draw pictures or diagrams to help them explain their method.

Ask your child to tackle the activities below using mental maths to keep their skills sharp!

Activity: Missing numbers

year 3 maths addition problem solving

Fill in the missing numbers.

Activity: Addition and subtraction

year 3 maths addition problem solving

3. Play Place Value Pandemonium

Activity: place value pandemonium.

year 3 maths addition problem solving

4. Try lots of different methods

Encourage your child to use different methods for solving addition and subtraction problems. These could include:

  • Partitioning numbers into parts to add or subtract. For example, to solve the problem 243 + 65, we could partition each number. Encourage your child to explain this to you, and perhaps model it to them first:
‘I partitioned 243 into 200, 40, and 3. Then, I partitioned 65 into 60 and 5. Then, I added the ones: 5 + 3 which equal 8. Then, I added the tens: 40 + 60 = 100. Then, I have the 200. So, I added the 200 to the 100, and then added the 8, to get a total of 308.’
  • Drawing pictures.
  • Using number lines or hundred squares.
  • Using written methods of column addition and subtraction.

Your child will understand subtraction as ‘taking away’ as well as ‘difference’. Methods could include:

  • Placing groups of objects into two rows to compare and find the difference.
  • Finding the difference between two numbers by counting back or counting up. For example, 27 – 18 could be interpreted as ‘what is the difference between 27 and 18?’ Your child may count back from 27 to 18 to find the difference of 9, or count up from 18 to 27 to find the difference of 9.
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year 3 maths addition problem solving

50 year 3 maths questions

Practise your maths skills with these 50 math questions for year 3 , covering addition, subtraction, place value, measurement, time, money, and geometry! Answers included.

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Author Michelle Griczika

year 3 maths addition problem solving

Published February 2024

year 3 maths addition problem solving

  • Key takeaways
  • Mastering addition and subtraction skills helps us solve mathematical puzzles and apply them to real-life situations.
  • Understanding place value enables us to correctly read, write, and compare numbers, developing our number sense and mathematical reasoning.
  • Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.
  • Exploring time and money concepts allows us to understand the world around us, manage our daily routines effectively, and develop essential life skills.
  • Recognising shapes and their properties opens our eyes to the diverse world of geometry, helping us understand how objects are structured and enhancing our spatial awareness.

Table of contents

  • Addition & subtraction
  • Place value
  • Measurement
  • Time & money

Hello, year 3 mathematicians! Are you ready for some mind-boggling maths challenges?

We will be going over important maths skills needed to strengthen understanding of important mathematical concepts. Let’s dive in!

Section 1: Addition and subtraction

Section 2: place value.

Use the greater than symbol >, less than symbol <, or equal to symbol = to answer.

Answer: <

Answer: >

Section 3: Measurement

Answer: 53 centimetres

Answer: 38 centimetres

Answer: 32 centimetres

Answer: 35 centimetres

Answer: 55 centimetres

Answer: 68 centimetres

Answer: 84 centimetres

Answer: 40 centimetres

Answer: 50 centimetres

Section 4: Time & Money

Doodle-Blog-NumberIcons_1

Look at the analog clock and write the time to the nearest five minutes:

year 3 maths addition problem solving

What time is shown on the digital clock?

year 3 maths addition problem solving

Answer: £4.34

Answer: £5.08

Answer: 25 pence

Answer: £3.50

Answer: £4.37

Section 5: Geometry

Answer: Triangle

Answer: Square

Answer: Pentagon

Answer: Hexagon

Answer: Equilateral Triangle

Answer: Trapezoid

Answer: Cube

Maths practice for year 3 is super important because we use it every single day! For extra maths practice that comes in the form of fun maths games and interactive practice problems, try Doodle Learning’s maths help app .

Lesson credits

headshot of author, Michelle

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching coupled with her double certification in early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

year 3 maths addition problem solving

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year 3 maths addition problem solving

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3rd Grade Addition and Subtraction

Word problems.

Welcome to our 3rd Grade Addition and Subtraction Word Problems page. Here is our selection of free addition and subtraction word problem worksheets, which will help your child practice solving a range of addition and subtraction problems using 3-digit and 4-digit numbers.

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  • 3 Digit Addition & Subtraction Word Problems
  • 4 Digit Addition & Subtraction Word Problems
  • 2-Step Addition & Subtraction Word Problems
  • Easier Addition & Subtraction Worksheets
  • More related resources
  • Addition & Subtraction Word Problems up to 1000 Online Quiz

3-digit and 4-digit Word Problems

Each sheet consists of a range of 5 addition and subtraction word problems with numbers up to thousands.

There is a space on each sheet for working out, so that your child can write out the problem and solve it.

We have split the worksheets up into 3-digit word problems and 4-digit word problems.

Using these sheets will help your child to:

  • add and subtract numbers with 3-digit and 4-digit numbers;
  • solve addition and subtraction word problems with and without regrouping.
  • recognise the language used in addition and subtraction - sum, total, difference, how many more, etc.
  • solve problems involving more than 1 step.

3rd Grade Addition and Subtraction Word Problems

3-digit addition and subtraction word problems.

There are two versions of each sheet.

The first version (version A) contains problems where no regrouping is needed.

The second version (version B) contains similar problems but regrouping is needed to solve them.

Answers have been provided with each sheet, along with the calculation needed to solve the problem.

The following sheets are all 1-step addition or subtraction word problems.

  • 3-Digit Addition and Subtraction Word Problems Sheet 1A (no regrouping)
  • PDF version
  • 3-Digit Addition and Subtraction Word Problems Sheet 1B
  • 3-Digit Addition and Subtraction Word Problems Sheet 2A (no regrouping)
  • 3-Digit Addition and Subtraction Word Problems Sheet 2B

4-digit Addition and Subtraction Word Problems

The word problems all involve either addition or subtraction (both with and without regrouping).

  • 4-Digit Addition and Subtraction Word Problems Sheet 1
  • 4-Digit Addition and Subtraction Word Problems Sheet 2

Harder 2-Step Addition and Subtraction Word Problems

These problems are trickier than those above.

Each problem involved two steps to solve, and may involve just addition, just subtraction or both operators.

There are 4 problems on each sheet, and more space to work out the solutions.

  • 2-Step Addition Subtraction Problems up to 3-digits Sheet 1
  • 2-Step Addition Subtraction Problems up to 4-digits Sheet 1

Looking for some easier worksheets?

Take a look at our Subtraction word problems for first graders.

On this page, your child will learn to work out basic subtraction word problems with numbers to 20.

  • 2nd Grade Addition and Subtraction Word Problems (up to 100)

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More 3rd Grade Addition and Subtraction Worksheets

Here you will find some more of our Addition and Subtraction Worksheet generators for creating your own bespoke addition and subtraction worksheets.

  • Addition Subtraction Fact Worksheets (randomly generated)
  • Column Addition and Subtraction Worksheets (randomly generated)

More 3rd Grade Math Word Problems

Using the 3rd Grade Math worksheets will help your child to:

  • apply their addition, subtraction, and multiplication skills;
  • develop their knowledge of fractions;
  • 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.

  • 3rd Grade Math Problems

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

  • Math Word Problems for kids 3rd Grade

These sheets involve solving 3-digit and 4-digit addition word problems.

  • Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

  • Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

  • Multiplication Word Problem Worksheets 3rd Grade

These sheets involve solving a range of division problems.

  • Division Worksheets Grade 3 Word Problems

Addition and Subtraction Word Problems to 1000 Online Quiz

Our quizzes have been created using Google Forms.

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This quick quiz tests your knowledge and skill at solving addition and subtraction word problems within 1000.

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Addition and Subtraction KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

year 3 maths addition problem solving

This is an adding game for two players. Can you be the first to reach the target?

year 3 maths addition problem solving

Strike it Out

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

year 3 maths addition problem solving

Use these four dominoes to make a square that has the same number of dots on each side.

year 3 maths addition problem solving

Planning a School Trip

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

year 3 maths addition problem solving

Fifteen Cards

Can you use the information to find out which cards I have used?

year 3 maths addition problem solving

A Mixed-up Clock

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

year 3 maths addition problem solving

Super Shapes

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

year 3 maths addition problem solving

Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

year 3 maths addition problem solving

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

year 3 maths addition problem solving

True or False?

Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

year 3 maths addition problem solving

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

year 3 maths addition problem solving

Buying a Balloon

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

year 3 maths addition problem solving

Build it Up

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

year 3 maths addition problem solving

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

year 3 maths addition problem solving

Six Ten Total

This challenge combines addition, multiplication, perseverance and even proof.

year 3 maths addition problem solving

Twenty Divided Into Six

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

year 3 maths addition problem solving

Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

year 3 maths addition problem solving

Six Numbered Cubes

This task combines spatial awareness with addition and multiplication.

year 3 maths addition problem solving

Can you go through this maze so that the numbers you pass add to exactly 100?

year 3 maths addition problem solving

Finding Fifteen

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

year 3 maths addition problem solving

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

year 3 maths addition problem solving

Domino Square

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

year 3 maths addition problem solving

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

year 3 maths addition problem solving

Sealed Solution

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

year 3 maths addition problem solving

Amy's Dominoes

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

year 3 maths addition problem solving

Dice in a Corner

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

year 3 maths addition problem solving

The Dice Train

This dice train has been made using specific rules. How many different trains can you make?

year 3 maths addition problem solving

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

year 3 maths addition problem solving

Subtraction Surprise

Try out some calculations. Are you surprised by the results?

year 3 maths addition problem solving

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

year 3 maths addition problem solving

Three Neighbours

Take three consecutive numbers and add them together. What do you notice?

year 3 maths addition problem solving

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

year 3 maths addition problem solving

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Math Workbooks for Grade 3

Download & Print From only $3.10

3rd Grade Math Word Problems Worksheets

Word problems for third grade.

Math word problems help deepen a student's understanding of mathematical concepts by relating mathematics to everyday life. 

These worksheets are best attempted after a student has studied the underlying skill; for example, our 'addition in columns" word problem worksheets should not be attempted until students are comfortable with addition in columns. 

In many of our word problems we intentionally include superfluous data , so that students need to read and think about the questions carefully, rather than simply applying a computation pattern to solve the problems.

Addition word problems for third grade

Simple addition word problems

Column form addition word problems

Mixed add and subtract word problems

Subtraction word problems

Simple subtraction word problems

Subtraction in columns word problems

Multiplication word problems

Simple multiplication word problems

Multiples of 10

Multiplying in columns

More multiplication word problems

Mixed multiply & divide word problems

Division word problems

Simple division word problems

Long division word problems

Fraction word problems

Identifying and comparing fractions word problems

Adding and subtracting fractions word problems

Mixed 3rd grade word problems

The following worksheets contain a mix of grade 3 addition, subtraction, multiplication and division word problems .  Mixing math word problems tests the understanding mathematical concepts, as it forces students to analyze the situation rather than mechanically apply a solution.

Mixed word problems - mental math  

Mixed word problems - column math

Mixed word problems - simpler form   (shorter texts, no superfluous data)

Measurement word problems for grade 3

These word problems combine the 4 operations with real world units of length, time, volume and mass. There is no conversion of units.

Length word problems

Time word problems

Mass & weight word problems

Volume & capacity word problems.

Word problems with variables

These grade 3 word problems introduce students to using variables ("x, y, etc.") to represent unknowns. The problems are relatively simple, but emphasize the use of variables and the writing of equations.

Word problems with variables (variable is chosen for the student)

Writing variables to solve word problems (student chooses the variable)

year 3 maths addition problem solving

Sample Grade 3 Math Word Problems Worksheet

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

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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.

Preview of worksheet  Change

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

Preview of worksheet Pounds and pence

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

Preview of worksheet Money problems

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

Preview of worksheet Shopping activity

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

Preview of worksheet Days out (1)

Solve money problems using the information provided.

Preview of worksheet Days out (2)

Solve money problems at the skating rink.

Preview of worksheet Days out (3)

Plenty of monkey business here!

Preview of worksheet Days out (4)

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

Preview of worksheet Money problem solving (1)

Some tricky money problems to solve.

Preview of worksheet Money problem solving (2)

More tricky money problems to solve.

Preview of worksheet Money problem solving (3)

Finding different amounts from a given set of coins.

Number and calculating problems

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

Preview of worksheet Revision: make 2-digit numbers from digit cards 1

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

Preview of worksheet Revision: make 2-digit numbers from digit cards 2

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

Preview of worksheet Revision; make 2-digit numbers from digit cards 3

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

Preview of worksheet How many legs do the monsters have?

Tricky little problems involving monsters' legs.

Preview of worksheet Find out how many strawberries are eaten

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

Preview of worksheet Bar Model: addition and subtraction facts

Bar Model: addition and subtraction facts.

Preview of worksheet Bar modelling: number facts

Use bar models to add and subtract.

Preview of worksheet Making addition and subtraction number stories

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

Preview of worksheet What numbers can you make with digit cards?

What numbers can you make with digit cards?

Preview of worksheet 3-digit cards: largest and smallest number

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

Preview of worksheet Making multiplication and division number stories

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

Preview of worksheet What sign?

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

Preview of worksheet Odd and even number investigations

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

Preview of worksheet Place value: reasoning

Use knowledge of place value to find all possible answers.

Preview of worksheet Find the number and missing digits

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

Preview of worksheet Investigate statements: odd and even

Investigate statements involving odd and even numbers.

Preview of worksheet Investigate statements: multiplication

Investigate statements about multiplication and times tables.

Preview of worksheet Think of a number

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

Preview of worksheet Work out the missing value (1)

Work out the missing value using division and addition.

Preview of worksheet Work out the missing value (2)

Use reasoning to find the missing values.

Preview of worksheet Work out the missing value (3)

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

Preview of worksheet Work out the missing value (4)

Use division and addition to find the missing values.

Preview of worksheet Work out the missing value (5)

Find the missing values from the information given.

Preview of worksheet Work out the missing value (6)

More on finding the value using reasoning.

Real life and word problems

A selection of real life problems and word problems.

Preview of worksheet Real life problems (1)

Tricky word problems.

Preview of worksheet Real life problems (2)

More tricky word problems.

Preview of worksheet Solve one step word problems

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

Preview of worksheet Solve two step word problems

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

Preview of worksheet More word problems

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

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

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Solving tricky fraction problems.

More challenges and activities

A great selection of activities requiring logical thinking.

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

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

Preview of worksheet It's an odd world

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

Preview of worksheet  Making 12

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

Preview of worksheet Hexagon adding tens challenge

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

Preview of worksheet Dinosaur egg laying challenge

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

Preview of worksheet 19 miles investigation

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

Preview of worksheet Estimate pages in a book

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

Preview of worksheet Making shapes

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

Preview of worksheet Calculator problems

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.

Preview of worksheet Year 3 Challenges: Using and Applying Maths

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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20 Word Problems For Year 3: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 3 are an important tool for improving number fluency. The key focus in maths in Year 3 of primary school is on ensuring pupils are becoming more fluent with number facts and the concept of place value. Children are starting to develop more efficient written methods by this stage and are beginning to carry out calculations with increasingly larger whole numbers.

As children progress through school, they are exposed to a wider variety of problem solving questions covering a range of concepts. In Year 3 maths these include the four operations, fractions, measures and statistics.  

It is important that children are regularly exposed to reasoning and problem solving questions, alongside the fluency work each lesson. It is also important to remember that all children need exposure to reasoning and problem solving questions, not just the higher attaining pupils who finish quickest.

We have put together a collection of 20 word problems, aimed at Year 3 pupils.

Years 3 to 6 Rapid Reasoning (Weeks 1-6)

Years 3 to 6 Rapid Reasoning (Weeks 1-6)

Download this free pack of word problems to improve your class' problem solving skills. Includes questions for Years 3 - 6.

Place value

Addition and subtraction, multiplication and division, fractions and decimals, measurement, why are word problems important in year 3 maths, how to teach problem solving in year 3, addition word problems for year 3, subtraction word problems for year 3, multiplication word problems for year 3, division word problems for year 3, fraction word problems in year 3, time word problems in year 3, multi-step word problems in year 3, more word problems resources, year 3 maths word problems in the national curriculum.

In Year 3, pupils focus on one-step problems, covering a range of topics across the National Curriculum. At this stage the majority of word problems pupils are tackling will have one-step, but they may also start to be introduced to simple two-step word problems. Here is a breakdown of topics that will be covered and expectations in Year 3. 

Solve number problems and practical problems involving recognising the place value of each digit of a 3-digit number; comparing and ordering numbers up to 1000 and identifying, representing and estimating numbers using different representations.

Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction word problems .

Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems

 Solve problems involving counting in tenths; recognising unit and non-unit fractions; recognising equivalent fractions and adding/ subtracting fractions with the same denominator.

Solve problems involving length, volume and mass; adding and subtracting within money word problems ; perimeter and problems involving time.

Solve-step and two-step questions (For example, ‘How many more?’ and ‘How many fewer’?) using information presented in scaled bar charts, pictograms and tables.

By Year 3, children are starting to learn how to use some of the formal written methods of addition and subtraction. It is important that the link between maths in school and maths in real-life continues to be made. Word problems are a key element in helping pupils to make this link. 

When teaching maths problems to Year 3, it’s important to think of ways to make them fun, engaging and something the children are able to relate to. This might include acting out the problem, using concrete resources and providing visual images, to bring the problems to life. 

Benefits of pairs, groups and class discussion 

Children should have plenty of opportunity to talk in pairs, groups and as a whole class, to share their understanding of what is being asked and their strategies for solving the problem. As with Key Stage One, the use of manipulatives is important and all children should have access to a range of maths resources when solving problems like this.

Pupils need to be encouraged to read word problems carefully and to make sure they understand what is being asked, before attempting to tackle the problem. This is where the use of a partner and group discussion can really help children’s understanding. Students then need to think about what they already know and how they can use this to help them answer the question. Where appropriate, pupils should also be encouraged to draw diagrams and pictures to help them solve the question.

Here is an example:

Mason needs 4 apples to make an apple pie.

If he has 28 apples. How many apple pies can he make?

How to solve:

What do you already know?

  • We know 4 apples are needed to make an apple pie.
  • We are told how many apples Mason has in total, so we must have to divide the total number by 4.
  • In year 3, children should be building confidence with multiplication and division facts for the 4 times table, so some will be able to quickly recall these facts to solve the problem.
  • Children who aren’t apple to recall quickly could use counters to represent the apples, or draw a bar model to help solve it.

How can this be drawn/represented pictorially?

We can draw a bar model or counters to represent this problem:

7 groups of 4 as bar model and with counters

  • To calculate how pies the 28 apples will make, we can either use or draw 28 counters and put them into groups of 4. We can see that 28 counters will make 7 groups of 4.
  • Using the bar model, we can keep adding 4 to the bar until we reach 28. From the bar we can see that 7 x 4 = 28.
  • 7 apple pies can be made from the 28 apple pies that Mason has.

In Year 3, pupils are exposed to a range of addition word problems , including problems involving mental addition and addition of up to 3-digits using formal written methods.

See also: Mental maths Year 3

Addition question 1

A family driving on holiday, travel 146 miles from home to the first service station.

They then drive a further 175 miles to reach their destination.

How far have they travelled altogether?

Answer (1 mark): 321 miles

146 + 175 = 321

Addition question 2

Evie is buying a bottle of drink from a vending machine. She has put in 40p. The vending machine shows she still needs to put in £1.25. 

How much is the bottle of drink?

Answer (1 mark): £1.65

125p + 40p = 165p

Addition question 3

Jamie scored 643 on his new online game.

Jared scored 468.

How many points did they score between them?

Answer (1 mark): 1111 points

643 + 468 = 1111

At Third Space Learning we often tie word problems into our one-to-one online tuition. With each programme personalised to the needs of each individual student, children are able to develop their problem solving skills, maths fluency and grow confidence in maths.

year 3 addition word problem slide

Subtraction word problems in Year 3 also need to comprise of a combination of mental calculation questions and those involving formal written subtraction up to 3-digits. Children should also be starting to estimate answers and check their calculations by using the inverse.

Subtraction question 1

Ahmed collects 374 stickers.

He needs 526 stickers to fill his sticker album.

How many more stickers does he need to collect?

Answer (1 mark): 152 stickers

526 – 374 = 152

Subtraction question 2

 A bag of carrots weigh 360g

A bag of tomatoes weighs 235g.

How much heavier is the bag of carrots?

Answer (1 mark): 125g

360 – 235 = 125

Subtraction question 3

 Ahmed buys a bag of sweets for £1.45.

He has a £2 coin. How much change will he get?

Answer (1 mark): 55p

200 – 145 or count up from £1.45 to £2

By the end of Year 3, pupils should be able to recall and use multiplication facts for the 3, 4 and 8 times table. They should also be starting to progress to using the formal written method for solving multiplication word problems involving 2 digits multiplied by a 1-digit number. 

Multiplication question 1

It costs £7 for a cinema ticket

Amber’s mum pays for Amber and her 3 friends. 

How much does she pay for all the tickets?

Answer (1 mark): £28

7 x 4 = 28 

Multiplication question 2

5 mini buses are used to take Year 3 pupils on a school trip.

Each minibus transports 15 children.

How many children go on the school trip?

Answer (1 mark): 75 children

15 x 5 = 75

Multiplication question 3

There are 24 questions on a word problems worksheet. 

A group of 8 children each complete the worksheet.

How many questions will the teacher be marking?

Answer (1 mark): 112 questions

24 x 8 = 112

In Year 3, pupils will need to learn the division facts for the 3, 4 and 8 multiplication tables. At this stage, pupils are required to learn the formal method for division, division word problems will involve mainly mental calculations.

Division question 1

6 children share 18 cookies between them. 

How many cookies does each child get?

 Answer (1 mark): 3 cookies

Division question 2

The school choir needs to travel to the concert hall.

There are 32 children in the choir and parents have been asked to help transport the children.

Each parent is able to take 4 children in their car. How many cars will be needed to get all the children to the concert?

Answer (1 mark): 8 cars

 32 ÷ 4 = 8

Division question 3

 Cakes come in packs of 4.

If Jessica needs 36 cakes for her party, how many packs does she need to buy?

Answer (1 mark): 9 packs

In Year 3 pupils are exposed to a range of fraction word problems , including questions involving counting up and down in tenths; equivalent fractions and adding/subtracting fractions with the same denominator.

Fraction question 1

Jude had 28 sweets.

He gave \frac{1}{4} of his sweets to his little sister.

How many did he have left?

Answer (1 mark): 21 sweets

\frac{1}{4} of 28 = 7

\frac{3}{4} of 28 = 21 or 28 – 7 = 21

Fraction question 2

Khalifa ate \frac{2}{8} of the chocolate bar and Abdulrahman ate \frac{3}{8} of it.

How much chocolate did they have left?

Answer (1 mark): \frac{3}{8}

\frac{2}{8} + \frac{3}{8} = \frac{5}{8} eaten

\frac{8}{8} – \frac{5}{8} = \frac{3}{8}

Fraction question 3

 Molly ate half of a pizza and Rosie ate \frac{3}{6} .

Who ate the most?

Answer (1 mark): They both ate the same amount

\frac{3}{6} is equivalent to \frac{1}{2} .

In Year 3 time word problems may be incorporated into maths problem solving. Students are expected to know time vocabulary, be able to compare time in terms of seconds, minutes and hours and know how many seconds are in a minute and minutes are in an hour. 

Time question 1

The Smith family are driving to the beach.

They leave at 9:05am and arrive at 9:50am.

How long does the journey take them?

Answer (1 mark): 45 minutes

50 – 5 = 45    or     count up from 9:05 to 9:50 = 45 

Time question 2

Holly puts her cake in the oven at 4:22pm and takes it out again at 4:47. 

How long is the cake baking for?

Answer (1 mark): 25 minutes

47 – 22 = 25    or   count up from 4:22 to 4:47

When children first move into lower Key Stage 2, word problems are predominantly one-step. As they become more confident they can be exposed to more word problems, requiring a second step or multi-step word problems .

Multi-step question 1

Oliver had 3 bags of sweets.

Each bag contained 15 sweets.

If he shared the sweets between him and 4 friends, how many sweets would they all 5 of them get?

Answer (2 marks): 9 sweets

3 x 15 = 45 

45  ÷ 5 = 9

Multi-step question 2

A teacher photocopies 95 maths worksheets and 80 English worksheets in one week.

Teachers can print a maximum of 300 worksheets per week. 

How many can the teacher print for other subjects.

Answer (2 marks): 125 worksheets

 95 + 80 = 175

300 – 175 = 125

Multi-step question 3

Three friends go trick or treating. They add all their sweets together and share them out, so they all have an equal number of sweets.

If Ben gets 34 sweets, Sophie gets 28 and Maisie gets 22 sweets. How many will they each get, once they have put them together and shared them out?

Answer (2 marks): 28 sweets each

34 + 28 + 22 = 84 sweets

84  ÷ 3 = 28

We hope that this collection of word problems for Year 3 becomes a useful resource in your Year 3 maths classroom. For more Year 3 maths resources, take a look at our library of Year 3 maths worksheets .

Third Space Learning also offers a wide array of maths and word problems resources for other year groups such as word problems for year 6 , word problems for Year 5 and word problems for year 4 . Our practice word problems cover all four operations and include more specific topics such as percentage word problems and ratio word problems .

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year 3 maths addition problem solving

Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

  • Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
  • Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
  • Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
  • Calculate : Use your strategy to solve the problem.
  • Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

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  • Multiplication Word Problems One-Step Multiplication Word Problems up to 10 × 10
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Outstanding Maths Lesson for Interview/Lesson Observation Problem Solving - Years 5 and 6

Outstanding Maths Lesson for Interview/Lesson Observation Problem Solving - Years 5 and 6

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

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Last updated

10 May 2024

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year 3 maths addition problem solving

An exceptional maths problem solving lesson, complete with written lesson plan and interactive slides. Crafted to engage and challenge high-ability Year 5/6 students, this lesson offers a rich tapestry of activities and tasks designed to ignite mathematical thinking.

Perfect for a lesson observation or job interview, these comprehensive materials will impress all observers and demonstrate your expertise in delivering high-quality maths education.

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COMMENTS

  1. Addition and Subtraction Word Problems Year 3

    Examples of Addition and Subtraction Word Problems for Year 3. Maths word problems are an important skill for children to learn, as they help improve logic, reasoning and creative thinking. Here are some examples of practical problems, which children should be able to solve by the end of year 3: Emi buys a drink for 79p. She pays with a £1 coin.

  2. Year 3 Maths Worksheets

    The following worksheets involve using the Year 3 Maths skills of multiplying, and solving multiplication problems. Using these Year 3 maths worksheets will help your child to: learn their multiplication tables up to 5 x 5; understand multiplication as repeated addition; learn how multiplication and division are related to each other.

  3. Grade 3 Addition Worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Free 3rd grade addition worksheets, including addition of 1, 2, 3 and 4 digit numbers, adding whole tens, whole hundreds and whole thousands, missing addend questions, column ...

  4. Word Problems Year 3

    This handy worksheet includes a range of addition and subtraction word problems for Year 3 pupils. They are perfect for developing children's fluency, reasoning and problem-solving skills. To make marking and self-assessment easier, it comes complete with a helpful answer sheet. Show more. addition and subtraction word problems word problems ...

  5. Addition & subtraction in Year 3 (age 7-8)

    Addition & subtraction in Year 3 (age 7-8) In Year 3, your child will use a range of strategies for calculating addition and subtraction problems. They will need to be able to explain how they have solved problems, especially when using mental maths. The key words for this section are commutative, difference, and place value.

  6. Adding and subtracting

    Year 3 KS2 Maths Adding and subtracting learning resources for adults, children, parents and teachers. ... What is column addition? ... which can be a useful strategy when solving addition problems.

  7. Year 3 Addition and Subtraction Problem Solving

    Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Provide year 3 students with a range of problem-solving opportunities using our addition and subtraction maths worksheets, activities and investigations.

  8. Addition and Subtraction Word Problems Year 3

    Examples of Addition and Subtraction Word Problems for Year 3. Maths word problems are an important skill for children to learn, as they help improve logic, reasoning and creative thinking. Here are some examples of practical problems, which children should be able to solve by the end of year 3: Emi buys a drink for 79p. She pays with a £1 coin.

  9. Year 3 maths questions

    Try these year 3 maths questions that cover addition, subtraction, place value, telling time, counting money, shapes & more. ... Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.

  10. 3rd Grade Addition and Subtraction Word Problems

    We have split the worksheets up into 3-digit word problems and 4-digit word problems. Using these sheets will help your child to: add and subtract numbers with 3-digit and 4-digit numbers; solve addition and subtraction word problems with and without regrouping. recognise the language used in addition and subtraction - sum, total, difference ...

  11. Addition Word Problems Worksheets for Grade 3

    Simple addition worksheets. These third grade math worksheets have word problems on simple addition. The focus here is on solving real life situations by using addition. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5. Worksheet #6 Worksheet #7 Worksheet #8.

  12. Addition and Subtraction KS2

    Age 7 to 14. Challenge Level. A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

  13. Math word problem worksheets for grade 3 students.

    The following worksheets contain a mix of grade 3 addition, subtraction, multiplication and division word problems. Mixing math word problems tests the understanding mathematical concepts, as it forces students to analyze the situation rather than mechanically apply a solution. Mixed word problems - mental math. Mixed word problems - column math.

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

    Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8) Some of my favourite maths here! This section is all about putting mathematical knowledge to good use. This includes solving one-step and two-step problems involving numbers, money, measures and time, as well as following lines of enquiry and organising results in a logical order.

  15. Year 3 Maths Word Problems

    This Year 3 Maths Problems pack contains 16 challenge cards with a range of questions for children to answer. It also features an answer sheet to help you quickly check their work afterwards.This resource is perfect for sparking children's interest in maths. That's because the practical aspect of these maths word problems for year 3 is bound to make learning more fun and engaging.Children ...

  16. Year 3 Problem Solving Addition and Subtraction Maths Mastery ...

    Challenge your Year 3 students with this PowerPoint with a range of maths mastery activities based around the Year 3 objective: Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction. Support their learning with different pictorial representations including both base ten and bar modeling.

  17. Word Problems For Year 3 To Improve Problem Solving Skills

    Multiplication word problems for Year 3. By the end of Year 3, pupils should be able to recall and use multiplication facts for the 3, 4 and 8 times table. They should also be starting to progress to using the formal written method for solving multiplication word problems involving 2 digits multiplied by a 1-digit number.

  18. KS2 Maths Quiz: Super Problem-Solving with Operations

    Solving Problems (Year 3) Solving problems is like a fun adventure in KS2 Maths! In Year Three, we learn cool tricks to solve real-life puzzles. Using addition, subtraction, multiplication, and division, we crack codes in everyday situations. Imagine your brain is a superhero cape—it gets a workout!

  19. 3 Digits Add/Minus 3 Digits Addition & Subtraction With ...

    Whether used as a comprehensive review, skill reinforcement, or differentiated instruction tool, "Mix All Addition, Subtraction, Multiplication & Division Worksheets" equips students with the necessary skills to excel in arithmetic and problem-solving. Worksheets are made in 8.5" x 11" Standard Letter Size.

  20. Math Word Problems

    Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math ...

  21. Year 3 Problem Solving Addition and Subtraction Maths Mastery ...

    Challenge your Year 3 students with this PowerPoint with a range of maths mastery activities based around the Year 3 objective: Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction. Support their learning with different pictorial representations including both base ten and bar modelling.

  22. Math Equation Solver

    You can solve multiplication and division during the same step in the math problem: after solving for parentheses, exponents and radicals and before adding and subtracting. Proceed from left to right for multiplication and division. Solve addition and subtraction last after parentheses, exponents, roots and multiplying/dividing.

  23. Outstanding Maths Lesson for Interview/Lesson Observation Problem

    An exceptional maths problem solving lesson, complete with written lesson plan and interactive slides. Crafted to engage and challenge high-ability Year 5/6 students, this lesson offers a rich tapestry of activities and tasks designed to ignite mathematical thinking.