math problem solving year 3

Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 3 Maths Worksheets

Cazoom Maths Worksheets for Year 3 provide a range of exercises that encourage pupils (aged 7-8) to develop their mathematical thinking and problem-solving and practice foundational maths skills. They offer a structured approach to learning and allow students to practice the concepts they have been taught in class, such as three-digit subtraction, fractions, using metric units, turning angles, reading bar charts etc. Professional and experienced educators design our Year 3 maths PDF printable worksheets to ensure they match UK curriculum standards while offering simple yet effective instructions. All Year 3 maths PDF worksheets are invaluable for teachers looking to help students develop their mathematical understanding.

MATHS WORKSHEETS FOR YEAR 3 STUDENTS

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Try some free sample year 3 maths worksheets

Year 3 Adding and Subtracting Worksheet

Outstanding Year 3 Maths Worksheets

  • Separate answers are included to make marking easy and quick.
  • Over 400 pages of the highest quality key stage 2 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
  • Single user licence for parents or teachers. Separate school licences are also available.
  • Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

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FUN and ENgaging Maths Worksheets

Our maths worksheets are designed to make mathematical problems great fun for your year 3 students . 

This range of year 3 maths worksheets PDF are designed with colour and with the space for children to show their working. Our resources follow the national curriculum and are perfect practice material for helping your child learn maths and develop their fine motor skills.

With over 200 pages of mathematical problems for your students to work through, Cazoom Maths worksheets are the perfect way for your year 3 students to develop their mathematical skills . 

ALL YEAR 3 TOPICS COVERED

Cazoom Maths pdf year 3 maths worksheets cover all topics in the curriculum at this formative stage for young learners.

We have worksheets covering multiplication facts, subtracting fractions, reasoning skills, time worksheets and much more.  The range also includes lots of different exercises on topics such as division problems, bar charts, roman numerals, and short and long division, plus times tables and word problems worksheets.

With such a comprehensive range, Cazoom has everything needed to help children practice their year 3 maths skills. 

List Of Topics

See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

  • Adding to a Single Digit
  • Adding to a Two Digit Number
  • Adding to a Three Digit Number
  • Adding Three Numbers
  • Number Bonds up to 20
  • Number Bonds over 20

SUBTRACTION

  • Single Digit Subtraction
  • Two Digit Subtraction
  • Three Digit Subtraction
  • Working with the Difference
  • Multiplication and Division worksheets
  • Number and Place Value Worksheets
  • Fractions, Decimals and Percentages

MEASUREMENT

  • Metric Measures
  • Area and Perimeter
  • Properties of Shapes
  • Position and Direction
  • Transformations

ALGEBRA & STATISTICS

math problem solving year 3

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.

headshot of author, Michelle

Author Michelle Griczika

math problem solving year 3

Published February 2024

math problem solving year 3

  • 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:

math problem solving year 3

What time is shown on the digital clock?

math problem solving year 3

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.

math problem solving year 3

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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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Unit 1: Intro to multiplication

Unit 2: 1-digit multiplication, unit 3: addition, subtraction, and estimation, unit 4: intro to division, unit 5: understand fractions, unit 6: equivalent fractions and comparing fractions, unit 7: more with multiplication and division, unit 8: arithmetic patterns and problem solving, unit 9: quadrilaterals, unit 10: area, unit 11: perimeter, unit 12: time, unit 13: measurement, unit 14: represent and interpret data.

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.

Preview of worksheet Solve time problems

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

Preview of worksheet Fractions: reasoning

Solving tricky fraction problems.

More challenges and activities

A great selection of activities requiring logical thinking.

Preview of worksheet Adding digits

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

Preview of worksheet Magic triangle (2)

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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Math Workbooks for Grade 3

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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)

math problem solving year 3

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Solving Problems (Year 3)

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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.

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Hamilton provide an extensive suite of problem-solving maths investigations for Year 3 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 3 .

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

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

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You can find Hamilton's investigations for Year 3:

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Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

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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.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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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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Year 3 tasks

The Ministry is migrating nzmaths content to Tāhurangi.             Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz).  When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024.  e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

To solve maths problems at year 3 it is very important for your child to be able to instantly recall addition and subtraction facts up to 20.

e-ako maths provides free online basic fact learning tools which will help your child learn their basic facts, as well as a collection of games to improve their speed and accuracy. If you think this would benefit your child, click to read how to access this resource  (show instructions).

  • To access e-ako maths, your child will need an account. You can make a new account for free, but check first whether they already have one that they use at school. If they do, they can use the same username and password to use e-ako maths at home.
  • You can log in to e-ako maths or register a new account from the e-ako maths home page . If you are registering a new account to use at home you will need to click the "No join code? Click here." button and then "I am learning at home".

math problem solving year 3

  • The two large green boxes at the top are 'Learning tools' which will test the basic facts your child knows, and then help them learn the ones they don't already know.
  • The blue buttons below are a collection of games designed to practise basic facts to improve speed and accuracy. 
  • In Year 3 your child should mostly be concentrating on learning and practising their addition and subtraction facts, the buttons on the left.

Click to read about the purpose of the tasks below  (show purpose).

The tasks in this section are intended:

  • for students in year 3 
  • to complement similar class tasks
  • to be a selection only of enjoyable learning opportunities for your child (and for you) 
  • to generate useful explanations and discussions between you and your child.

The tasks in this section are NOT: 

  • intended to be comprehensive in their coverage of all maths at year 3
  • intended to be ‘one off’ tasks. Feel free to review or modify these to suit the needs of your child.

These Year 3 tasks recognise that students:

  • are mostly working at early level 2 of the NZ Curriculum, growing in their understanding of number, algebra, geometry, measurement and statistics
  • are all different, and some find parts of maths easier or harder than others
  • are learning to solve problems in different ways
  • are learning that it’s okay to make a mistake and to have another go
  • respond well to supportive questions from adults, such as, ‘What is the question asking you to do?’, or ‘What do you already know that might help you (solve the problem)?’
  • enjoy exploring open tasks for which there can be a range of appropriate approaches and solutions (accordingly, set answers are not included for a number of these tasks).

We suggest that you ask your child what kinds of things they have been doing in maths at school, and select a task from this menu.

Click for  versions with Māori content .

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2-year-old Elmont math prodigy 'Baby Dev' appearing on 'America's Got Talent'

Two-year-old Baby Dev, pictured with his father, shows off his...

Two-year-old Baby Dev, pictured with his father, shows off his math skills on "America's Got Talent." Credit: NBC/Trae Patton

A 2-year-old math prodigy from Elmont will be among the acts when NBC's variety competition “America’s Got Talent” returns for its 19th season Tuesday at 8 p.m. 

In TikTok videos that have garnered as many as 36 million views apiece, Devan Defreitas, known as Baby Dev, joyfully does mathematics equations — 14 x 12, anyone? — on dry-erase boards, sounding out each number as he does so. One video shows him flawlessly identifying Roman numerals.

Another has him solving word problems: “Mama gave Devan $30 and Dada gave Devan another $10. How much money does Devan have?” With no coaching, he writes “$30 + $10 = $40.” Where numbers are concerned, this pre-K kid could probably compete on “Are You Smarter than a 5th Grader?”

Dad Duane Defreitas says he still is processing all the attention coming his family’s way —including remote appearance on “CBS Mornings” with Gayle King and NBC’s “The Kelly Clarkson Show” — since the first video went up in September. “Sometimes I'm just kind of like, ‘Oh, it's nothing,’” Defreitas, 44, told Newsday. “But then it's like, ‘Wow, is this really happening?’”

Defreitas had never had a TikTok account, he said, “but you always hear about TikTok through friends or whatever. That's the thing these young kids are into nowadays. So I said, ‘Hey, why not make one for Devan and see what happens?’” The videos went viral and “not too long after that, the producers from AGT reached out to us.”

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Defreitas, who also has an 8-year-old son and 10-year-old daughter in Mount Sinai “with my first two kids' mother,” asked that Devan’s mother not be named. But she was, he says, part of that day when they first glimpsed Devan’s instinct for math.

“He had a slight speech delay,” Defreitas said, “so he didn't say ‘Mama, Dada.’ And one day he was watching one of his number videos and they were singing the number-seven song, and he just blurred out, 'Seven! Seven!'” as his first words. “And his mother and I just looked at each other with our eyes open and we actually caught that on video, too,” when he said it again.

Defreitas, who was born in Brooklyn and raised in Queens, played football at Flushing High School and later at Marist College in Poughkeepsie. He left that school to get an associate degree at Nassau Community College, he says, and afterward enrolled at Manhattan’s Fashion Institute of Technology. He left there to intern for a fashion company, and when the internship ended, rather than return to school he followed in his father Lincoln’s footsteps as an NYPD officer.

Beginning 2005, Defreitas served at Transit District 20 in Jamaica, Queens. He moved to Hempstead around 2010 and retired from the force in 2014 when “I tore my Achilles tendon while affecting an arrest, when somebody resisted arrest. … I heard a loud pop” and felt a pain “like bowling ball dropped from the sky and fell on my ankle.”

He says he still walks with a limp — “some days are better than others” — and with his retirement pension decided “I'm just going to spend time with my kids and raise my kids. And that's exactly what I do.” He moved to Bay Shore and then to Commack, before settling in Elmont in 2019 — keeping the Commack house to rent out on Airbnb and otherwise use as a second home.

There, Devan “hangs out in the pool. He loves to swim. And there are a lot of farms out there, and he loves animals.”

He also enjoyed being on AGT, his dad says. “He had never been on a stage so I was a little worried how he would react. But he loved the crowd. He loves being cheered on. He loves when we clap for them. So he soaked everything up and loved it.”

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Mathematics > Combinatorics

Title: flexipaths in matroids.

Abstract: Although the unavoidable minors of large 3-connected matroids were found nearly thirty years ago, there has been little progress on solving the corresponding problem for large 4-connected matroids. This paper aims to take a step towards solving that problem. The objects of study here are 4-paths, that is, sequences $(L, P_1, P_2, \ldots, P_n, R)$ of sets that partition the ground set of a matroid so that the union of any proper initial segment of parts is 4-separating. Viewing the ends L and R as fixed, we call such a partition a 4-flexipath if $(L, Q_1, Q_2, \ldots, Q_n, R)$ is a 4-path for all permutations $(Q_1, Q_2, \ldots, Q_n)$ of $(P_1, P_2, \ldots, P_n)$. A straightforward simplification enables us to focus on $(4,c)$-flexipaths for some $c$ in $\{1,2,3\}$, that is, those 4-flexipaths for which $\lambda(Q_i) = c$ and $\lambda(Q_i \cup Q_j) > c$ for all distinct $i$ and $j$. Our main result is that the only non-trivial case that arises here is when $c = 2$. In that case, there are essentially only two possible dual pairs of $(4,c)$-flexipaths when $n \geq 5$. A key technique in the proof of this result is of independent interest. We construct the clonal core of a partitioned matroid. From the relatively simple structure of this clonal core, we can deduce many properties of the original partitioned matroid from the local connectivities between unions of parts of the partition.

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