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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

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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 Worksheets UK Hub Page

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

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

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

Year 3 Maths Learning

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

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

Please note:

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

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

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

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

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

Quicklinks to Year 3 ...

  • Place Value Zone
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Coronavirus Stay At Home Support

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

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

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

They are completely FREE - take a look!

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Place Value & Number Sense Zone

Year 3 place value charts.

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

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

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

Using these sheets will help your child to:

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

Place Value & Counting Worksheets

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

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

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

Ordering and Rounding Worksheets (3-digits)

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

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

  • Ordering Numbers Worksheets up to 3-Digits

Year 3 Number Line Worksheets

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

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

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

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Year 3 Mental Maths Zone

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

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

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

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

Year 3 Addition Worksheets

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

Year 3 Subtraction Worksheets

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

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

Addition & Subtraction Worksheets

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

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

  • Addition Subtraction Fact Worksheets
  • Column Addition and Subtraction Worksheets

Year 3 Multiplication Worksheets

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

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

Online Times Table Practice

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

Multiplication Word Problems

  • Year 3 Multiplication Word Problems (2nd Grade)

Randomly Generated Multiplication Worksheets

  • Times Tables Worksheets (randomly generated)

2 Digit by 1 Digit Written Multiplication

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

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

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

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

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

Using the sheets will help your child to:

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

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

  • Year 3 Maths Challenges

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

  • Year 3 Math Word Problems

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

  • Addition Word Problems 2nd grade

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

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

These sheets involve solving a range of multiplication problems.

  • Multiplication Word Problems Year 3

Year 3 Fraction Worksheets

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

Year 3 Geometry Worksheets

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

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

The following worksheets will help your child to:

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

Symmetry Worksheets

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

Measurement Zone, including Time & Money

Year 3 measurement worksheets.

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

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

  • Year 3 Measurement Worksheets (2nd Grade)

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

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

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

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

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

Time Worksheets

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

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

Year 3 Bar Graph Worksheets

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

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

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

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

  • Year 3 Bar Graphs (2nd Grade)

Fun Zone: Puzzles, Games and Riddles

Year 3 math games.

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

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

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

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

The Number Square Puzzles page will open a new browser window which will take you to the 2nd grade math salamanders website.

Using these puzzles will help your child to:

  • learn their addition facts to 20+20;
  • learn and practice subtraction facts to 20;
  • pratice multiplying up to 5x5;
  • develop thinking and reasoning skills;
  • develop perseverance.
  • Number Square Puzzles
  • Math Puzzles at 2nd Grade Math Salamanders

Math Salamanders Year 3 Maths Games Ebook

Our Year 3 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

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

  • Year 3 Maths Games Ebook

Help & Support

Looking for a resource which is not here.

Take a look at our 2nd Grade Math Salamanders website.

On this site you will find a wider selection of Year 3 maths worksheets and free math resources.

  • 2nd Grade Math Salamanders

Other UK Maths Worksheet pages

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

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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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.

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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  • Student task sheets

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".

year 3 problem solving tasks

  • 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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Columbia University has become the epicenter of a growing showdown between student protesters, college administrators and Congress over the war in Gaza and the limits of free speech.

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74-year-old Ohio woman charged in armed robbery of credit union was scam victim, family says

FAIRFIELD TOWNSHIP, Ohio — A 74-year-old woman charged in the armed robbery of an Ohio credit union last week is a victim of an online scam who may have been trying to solve her financial problems, according to her relatives.

Ann Mayers, who had no previous run-ins with the law, faces counts of aggravated robbery with a firearm and tampering with evidence in Friday’s robbery in Fairfield Township, north of Cincinnati. She remained jailed Wednesday on $100,000 bond pending an initial court appearance, and court records don’t list an attorney for her.

Officers arrested Mayers at her Hamilton home shortly after the robbery, Fairfield police said in a Facebook post . A handgun was found in her car, which police allege she used in the robbery.

Authorities later learned that Mayers might have been a scam victim and are looking into the claims. Her relatives told detectives that she had been sending money to an unidentified individual, The Columbus Dispatch reported Wednesday.

“In that aspect, some may see her as a ‘victim,’” Sgt. Brandon McCroskey told the newspaper. “Unfortunately, Ann chose to victimize several other people in the bank by robbing it with a firearm as a remedy for her situation.”

If what her relatives say is true, McCroskey called Mayers’ situation “very sad and unfortunate.” He said she reportedly spoke with family members about robbing banks in the days leading up to the holdup, but they didn’t take her comments seriously.

Scams against seniors have become increasingly common over the last 10 to 15 years, according to experts. Among them are so-called grandparent scams in which callers claim to be anyone from a victim’s grandchild to a police officer and tells the victim something terrible happened and that their younger relative needs money.

The scammers seek to exploit older people’s love for their family and, experts note, they can succeed in part because they tap into the abundance of personal information available about people online and use it make seniors believe the calls are legitimate.

An 81-year-old Ohio man was charged with murder this month after he fatally shot an Uber driver because he wrongly assumed she was part of a scheme to extract $12,000 in supposed bond money for a relative, authorities have said.

The driver was a victim of the same con, summoned by the grifters to the man’s house to retrieve a purported package for delivery. The man later told investigators he believed Hall had arrived to get the money the scammers wanted.

year 3 problem solving tasks

IMAGES

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    year 3 problem solving tasks

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COMMENTS

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

    Download this free pack of word problems to improve your class' problem solving skills. Includes questions for Years 3 - 6. Download Free Now! Year 3 Maths Word Problems in the National Curriculum. Place value. Addition and subtraction. Multiplication and division. Fractions and decimals. Measurement.

  2. Problem Solving

    Developing Excellence in Problem Solving with Young Learners. Age 5 to 11. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three principal ways.

  3. Maths Mastery Year 3

    Children attain new knowledge at a different speed - some might breeze through the trickiest of maths concepts, whereas other pupils might need more practice. With these maths skills mastery for year 3 resources, you can take your pupils through a learning journey and develop their problem-solving skills by taking learning one step at a time ...

  4. Problem solving

    Discover how numbers can be connected in a pattern and see if you can solve the puzzle. Find out how partitioning a number can help you solve tricky maths problems. Year 3 Maths Problem solving ...

  5. Year 3 Problem-Solving and Games: A Step-by-Step Guide

    The current national curriculum in England wants children to focus on how they think when they're solving maths problems. Codebreaking requires children to make mental links to work out the answers to a puzzle. The connections in they make in the problem-solving questions are similar to those needed to solve algebra problems. This Year 3 resource can support children while they're working on ...

  6. 1,498 Top "Problem Solving Year 3" Teaching Resources curated ...

    Move PE Year 3 Outdoor Adventurous Activities Lesson 3: Problem Solving Lesson Pack . Last downloaded on. Year 3 Number : Addition and Subtraction Solving Problems Lesson 3. ... Explore more than 1,498 "Problem Solving Year 3" resources for teachers, parents and pupils as well as related resources on "Year 3 Problem Solving" Get to know us ...

  7. 1,452 Top "Problem Solving Year 3" Teaching Resources curated ...

    Explore more than 1,452 "Problem Solving Year 3" resources for teachers, parents and pupils as well as related resources on "Year 3 Problem Solving". Check out our interactive series of lesson plans, worksheets, PowerPoints and assessment tools today! All teacher-made, aligned with the Australian Curriculum.

  8. 1,531 Top "Year 3 Problem Solving" Teaching Resources curated ...

    Explore more than 1,531 "Year 3 Problem Solving" resources for teachers, parents and pupils as well as related resources on "Problem Solving Year 3". Check out our interactive series of lesson plans, worksheets, PowerPoints and assessment tools today! All teacher-made, aligned with the Australian Curriculum.

  9. PDF Questions, tasks and activities to support assessment

    Questions, tasks and activities to support assessment Year 3 Mike Askew, Sarah Bishop, Clare Christie, Sarah Eaton, Pete Gri˜ n and Debbie Morgan Teaching for Mastery for ... mathematically and to solve increasingly complex problems, doing so with fluency, as described in the aims of the National curriculum:

  10. Problem-solving Maths Investigations for Year 3

    By Nick Barwick - 7 Aug 2018. 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.

  11. 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 ...

  12. 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.

  13. PDF Puzzles and problems for Years 3 and 4

    Explain methods and reasoning. Make each pond hold two ducks or five ducks. Make each pond hold twice as many ducks as the one before. Make each pond hold one less duck than the one before. Solve mathematical problems or puzzles. Know multiplication facts for 2 and 5 times tables. Add three or four small numbers.

  14. How to Teach Year 3 Problem Solving and Games

    First, write the multiplication questions on separate pieces of paper and place them in a bowl. Then, make a 3 by 3 square bingo card each and write 9 of the answers onto it. Take it in turns to draw a question out of the bowl. If the answer is on your card, cross it off. The winner is the first person to cross off all their answers.

  15. Year 3 Maths Starters

    Our Year 3 Maths Autumn Morning Starter PowerPoint 1 has been created to ease year 3 pupils into the start of the academic year. Each slide features a maths problem for pupils to solve. Simply click to reveal the answer and move onto the next one. These starters focus on problem-solving, place value and reasoning skills. What are starter ...

  16. How to Teach Year 3 Problem Solving and Games

    This step-by-step guide for parents will help you teach children what they need to know about year 3, Problem Solving and Games, including fun activities and clear instructions. Recently Viewed and ... This pirate-themed maths game includes a range of problem-solving activities involving addition and subtraction, multiplication and division ...

  17. 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.

  18. Year 3 tasks

    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 ...

  19. 17 Fun Problem Solving Activities & Games [for Kids ...

    For this problem solving activity for older kids or teens, you will need four 2×6 boards. Divide your group into two teams with an equal number of children on each team. Place two of the four boards end to end on the ground or floor. Set the other two parallel to the first two about two or three feet apart.

  20. Maths Problem-Solving Resources

    From treasure hunts to dice games, these Year 3 maths problem-solving resources have been designed to make learning fun and effective. While completing these activities, children will practise: Counting in multiples of 2, 3, 4 and 5. Adding and subtracting numbers mentally. Recalling and using multiplication and division facts for the 3, 4 and ...

  21. Year 3 and 4 Problem-Solving Resources

    The value of our problem-solving resources. Dive into problem-solving with these fantastic Year 3 and 4 resources. Perfect for challenging your children to develop their critical thinking skills. The resources include formulating, modelling and recording data in real-life contexts. Here you'll find topics ranging from multiplication word ...

  22. The Crackdown on Student Protesters

    Columbia University is at the center of a growing showdown over the war in Gaza and the limits of free speech.

  23. 74-year-old Ohio woman charged in armed robbery of credit union was

    The 74-year-old woman charged in the armed robbery of an Ohio credit union last week is a victim of an online scam who may have been trying to solve her financial problems, according to her relatives.

  24. Year 3 and 4 Problem-Solving Resources

    Year 4 Number 1 Maths Activity Mats. 5.0 (5 reviews) The Jelly Bean Problem. Under The Sea Maths Escape Game. 5.0 (4 reviews) 3 Digit Addition and Subtraction Word Problem Challenge Cards. 4.8 (17 reviews) Year 3 Multiplication and Division Word Problems x2, x5, x10. 4.8 (11 reviews)