ks2 multiplication problem solving

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Multiplication Printable Worksheets Hub Page

Welcome to the Math Salamanders Multiplication Printable Worksheets.

Here you will find a wide range of free printable Multiplication Worksheets which will help your child improve their multiplying skills.

Take a look at our times table worksheets, or check out our multiplication games or some multiplication word problems.

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

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

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

Multiplication Learning

Once children have mastered place value to 100, and learn to count in steps of 2, 5 and 10, they are ready to start multiplication. Multiplication follows on naturally from counting in steps of different sizes.

When children first learn multiplication, the learning is linked to addition which they are already very familiar with. So 2 + 2 + 2 + 2 becomes 2 four times or 2 x 4 (or 4 x 2).

Once children have understood what multiplication is, they are then ready to start learning their tables, learning to multiply by one or two digit numbers, and then applying their knowledge to solve problems.

At the very last stage in elementary math, they are ready to start multiplying decimals.

The multiplication printable worksheets below will take your child through their multiplication learning step-by-step so that they are learning the math skills to move on to the next step, as well as starting off at a nice easy level to gain confidence.

Quicklinks to:

Multiplication Worksheets by Grade

• Times Table Worksheets
• Multiplying by 10s and 100s

Multiplication Facts with Decimals

• Short/Long Multiplication
• Negative Number Multiplication
• Multiplication Word Problems

Multiplication Resources

• Multiplication Games

Multiplication Printable Worksheets

Here you will find our selection of free resources such as flashcards, multiplication charts and grids to help your child to learn their multiplication facts.

Printable Multiplication Flashcards

Here you will find a selection of Multiplication Flashcards designed to help your child learn their Multiplication facts.

Using flashcards is a great way to learn your Multiplication facts. They can be taken on a journey, played with in a game, or used in a spare five minutes daily until your child knows their Multiplication facts off by heart.

Using these flashcards will help your child to:

• Learn their multiplication facts for the Multiplication tables.

All the free Math flash cards in this section are informed by the Elementary Math Benchmarks for 2nd and 3rd Grade.

• Printable Math Flash Cards 2 3 4 5 10 Times Tables
• Free Math Flash Cards 6 7 8 9 Times Tables

Top of Page

Multiplication Times Table Charts

Here you will find a selection of Multiplication Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

• Learn their multiplication facts to 10x10 or 12x12;
• Practice their multiplication table.

All the free printable Math charts in this section are informed by the Elementary Math Benchmarks.

• Large Multiplication Chart
• Large Multiplication Charts Times Tables
• Multiplication Times Tables Chart to 10x10
• Times Table Grid to 12x12
• Individual Times Table Chart Tables 1 to 6
• Individual Times Table Charts Tables 7 to 12
• Blank Multiplication Charts to 10x10
• Blank Printable Charts to 12x12

Second Grade Multiplication

• Understanding Multiplication Worksheets
• Multiplication to 5x5 Worksheets
• Multiplication Word Problems 2nd Grade

3rd Grade Multiplication

Understanding multiplication.

• Understanding Multiplication Facts Worksheets to 10x10
• Multiplication Table Worksheets - 2 3 4 5 10
• Multiplication Drill Sheets 6 7 8 9
• Fun Multiplication Worksheets to 10x10
• Circle Times Tables Worksheets 1 to 10 tables
• Times Table Worksheets Circles 1 to 12 tables

Multiplying integers by 10 and 100

• Multiplying by 10 and 100 Worksheets
• 2-Digit Multiplication Worksheets
• Multiplication Word Problem Worksheets 3rd Grade

4th Grade Multiplication

• Times Tables Worksheets (randomly generated)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (graded)
• Multiplication Word Problems 4th Grade

5th Grade Multiplication

• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying Decimals by Whole Numbers
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Multiplication Word Problems 5th Grade

Multiplication Times Tables Sheets

Here you will find a selection of Mental Multiplication sheets designed to help your child improve their mental recall of Multiplication Facts and learn their times tables.

As your child progresses through the grades, they will learn their multiplication table to 5x5 and eventually to 10x10, or 12x12.

Once they know their multiplication facts, they can start to learn related facts, e.g. if 3 x 4 = 12, then 30 x 4 = 120 and $300 x 4 = $1200.

The multiplication printable worksheets below will support your child with their multiplication learning.

• Math Times Table Worksheets

Multiplication by 10s and 100s

These Multiplication Printable Worksheets below are designed to help your child improve their ability to multiply a range of numbers by multiples of 10 and 100 mentally.

The following sheets develop children's ability to use and apply their tables knowledge to answer related questions.

Using these sheets will help your child to:

• practice their multiplication table facts;
• multiply a range of numbers by 10 and 100;
• learn to use their multiplication tables to multiply by 10s and 100s.

These sheets are designed for 3rd and 4th graders.

• Multiplying by 10 and 100 Worksheets (whole numbers)

These sheets are designed for 4th and 5th graders.

• Multiplication Fact Sheets by 10s 100s

These Multiplication Printable Worksheets below involve children using their multiplication table facts to answer related questions involving decimals.

Before your child tries written multiplication methods involving decimals, they should be confident using their multiplication table facts to multiply simple decimals mentally.

• consolidate and practice their multiplication table facts;
• use their multiplication tables to answer related facts involving decimals up to 2 decimal places (2dp).

These sheets are designed for 5th graders.

Multiplication (and division) Worksheet Generators

Here is our free generator for multiplication (and division) worksheets.

This easy-to-use generator will create randomly generated multiplication worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

• Multiplying with numbers to 5x5;
• Multiplying with numbers to 10x10;
• Multiplying with numbers to 12x12;
• Multiplying with 10s e.g. 4 x 30
• Multiplying with 100s e.g. 6 x 400
• Multiplying with tenths e.g. 3 x 0.7
• Practicing a single times table;
• Practicing selected times tables;

These generated sheets can be used in a number of ways to help your child with their times table learning.

• Free Multiplication Worksheets (randomly generated)
• Multiplication & Division Worksheets (randomly generated)

Negative Number Multiplication (6th grade+).

• Negative Number Multiplication (randomly generated)

Short Multiplication Generator

• Single Digit Multiplication Worksheets Generator

Long Multiplication Generator

• Multi-Digit Multiplication Worksheet Generator
• Money Multiplication Worksheets Generator

Short and Long Multiplication

Here you will find a range of written multiplication printable worksheets. This is the first introduction of a written multiplication method at this stage.

The following sheets develop children's ability to use a written method to multiply a multi-digit number by a single digit, starting off at a very basic level.

• learn and practice 2-digit multiplication.
• learn to multiply a multi-digit number by a single digit.

2 Digit by 1 Digit Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit
• 2 Digit Multiplication Worksheets
• Math Multiplication Worksheets multi-digit x 1 digit

Long Multiplication by 2 digits

Here you will find our 4th Grade Multiplication Printable Worksheet collection. These sheets are designed to help your child improve their ability to multiply a range of numbers by a two digit number.

The following sheets will help your child to:

• multiply a range of 2 and 3 digit numbers by two digits.
• Double Digit Multiplication Worksheets

Long Multiplication by Decimals

Our free 5th Grade Multiplication Printable Worksheet collection below is designed to help your child improve their ability to multiply a range of numbers involving decimals by a single digit.

• multiply a range of decimals up to 2 decimal places (2dp) by a single digit;

All the free Math sheets in this section are informed by the Elementary Math Benchmarks for 5th Grade.

Multiplication Word Problem Worksheets

We have a range of Multiplication Word Problem worksheets.

Each sheet comes in different levels of difficulty so that you can select an appropriate level for your child/class.

Using our word problem sheets will help your child to:

• apply their math skills;
• select the correct multiplication fact needed to solve a problem;
• solve a range of problems, including 'real-life' problems.
• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

The following games develop the Math skill of multiplying in a fun and motivating way.

• learn their multiplication facts;
• practice and improve their multiplication table recall;
• develop their strategic thinking skills.

How to Print or Save these sheets 🖶

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

• How to Print support

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return from Multiplication Printable Worksheets to Math Salamanders Homepage

Math-Salamanders.com

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.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Cookie Consent

We use cookies to help provide a better website experience for you, and help us to understand how people use our website. Our partners will also collect data and use cookies for ad personalisation and measurement.

Clicking "Accept" will allow us and our partners to use cookies, learn more in our cookie policy or to change your cookie preferences, click "Manage".

To find out more about cookies and the types of cookies we are setting please visit our cookie policy .

If you'd prefer that certain types of cookie are not saved on your browser when visiting our website, use the toggles below to adjust those preferences and click "Save choices".

Strictly Necessary

These cookies are necessary for the website to function and without them you would not be able to reliably use the website. For example, logging into your account or completing forms.

Analytics Cookies

A series of cookies that collect anonymised data on how users interact with our website. This anonymous data helps us improve the website with a focus on its users, for example, ensuring the most popular content is easier to access.

View associated providers +

Marketing Cookies

These cookies track your online activity to help advertisers deliver more relevant and personalised advertising or to limit how many times you see an ad. These cookies can share that information with other organisations or advertisers.

Resources you can trust

Multiplication word problems

These year 5/6 maths worksheets also include answers. 

Sample questions from the worksheets:

There are 932 calories in a chocolate bar. How many calories are in 4 chocolate bars?

Hannah plans a holiday to New York. She rents a room in a hotel at a cost of £183 per night. If she stays in the hotel for 5 nights, how much does she need to pay?

All reviews

Have you used this resource?

Karen Kendrick

Resources you might like

• Topmarks Search
• Whiteboard Resources
• Learning Games
• Topmarks Apps
• Topmarks Blog

• 11-14 Years

Play these fun Maths Games for 7-11 year olds

Choose a category:, problem solving games.

Bead Numbers - Place Value

Bead Numbers is a place value investigation involving a tens and ones abacus. The game provides a good context for encouraging learners to think systematically.

Thinking of a Number

Guess the number by revealing the clues on the clouds one by one. Children will need knowledge of rounding, odd and even and tens and ones.

Tables Teaser

Can you work out which number goes in each row and column heading to make the interactive tables grid work? It is quite a challenge!

Mystic Numbers

Solve the number puzzles and collect the treasures.

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Multiplication and Division Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

10 January 2023

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Use as challenge cards for early finishers, extension and revision etc in Upper Key Stage 2 (KS2) Year 5 and Year 6 (Y5 and Y6) - or Second Level, Primary 6 and 7 in Scotland ). Multiplying and dividing problem solving skills (mostly multi-step) are practised in a range of contexts with these 48 word problem maths task cards plus a double-sided worksheet . ALL ANSWERS INCLUDED. The cards are designed to be self-checking . Includes some UK money word problems. One of my most popular resources. DUE TO DEMAND, DOLLAR VERSIONS NOW INCLUDED. PDF with 21 pages (and dollar versions).

These problem-solving activities will suit some Year 7 (Y7) too. The cards work well as an early finisher challenge or as part of your multiplying and dividing focus.

SAVE by purchasing this as part of a Word Problems Four Operations BUNDLE , alongside my equivalent pack of Addition and Subtraction Word Problems .

If you prefer to buy the 2 word problem packs along with some times table games and mental maths puzzles: Maths Revision Activities BUNDLE

This Multiplication and Division Pack features:

• 48 word problem cards (and answer sides)
• 1-page answer key
• 1-page recording sheet
• 3-page recording sheet (with space for working out)
• Double-sided worksheet (and answers) with another 8 problems
• Multiplication and division by single digits and by multiples of 10 and 100
• Includes decimals
• Includes fractions
• Money problems (in pounds - with alternative dollar versions in another file)
• Metric measure
• Many multi-step (2 and 3-step) problems
• Some addition and subtraction is required too

In the file, the question sides of the cards are on the odd numbered pages and the answer sides on the even numbered pages. You can set your printer to print the answers on the reverse but if you do not have a double-sided printing option, print the odd numbered pages, then put the card or paper back in the printer in the correct order and print the even numbered pages on the other side. You can laminate and have students work individually or in groups, checking the answer on the back once they’ve had a go. Alternatively, make it competitive and have individuals or pairs race to solve them, using a timer. A separate card featuring all answers is included if you prefer not to print the answers on the back of the cards. Recording sheets (2 versions) can be printed too if required.

Use the double-sided worksheet for classwork or homework.

Also popular: Mental Maths Bundle Year 5 / 6

Thank you. FullShelf Resources

Tes paid licence How can I reuse this?

Get this resource as part of a bundle and save up to 51%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Fun Multiplication and Division Activities KS2

Year 5 and Year 6 (Y5 / Y6) Upper Key Stage 2 (Primary 6 and 7 in Scotland) BUNDLE of multiplying and dividing games, puzzles worksheets and other fun activities to use for starters, early finishers tasks and revision throughout the year. It contains **9 individual resource packs**, which include printable Numeracy / Maths starters, warm ups, main lesson tasks, early finisher / extension challenges and revision activities to help you plan fun and varied multiplication and division lessons. May suit other years too: * **[48 Multiplication and Division Word Problem task cards (and worksheet)](https://www.tes.com/teaching-resource/multiplication-and-division-word-problems-11544278)** * **[Factors and Multiples Activities](https://www.tes.com/teaching-resource/factors-and-multiples-11544065)** * **[Times Tables Board Games](https://www.tes.com/teaching-resource/times-tables-games-11551489/)** * **[Multiplication Hidden Word Puzzles Worksheets](https://www.tes.com/teaching-resource/multiplying-3-numbers-11973613)** * **[Division Hidden Word Puzzles Worksheets](https://www.tes.com/teaching-resource/division-worksheets-11803243)** * **[Doubling and Halving Loop Games](https://www.tes.com/teaching-resource/doubles-halves-11546346)** * **[Multiplying and Dividing by 10, 1000, 1000 Game](https://www.tes.com/teaching-resource/multiply-divide-by-10-100-1000-game-11561948)** * **[Dividing with Multiples of 10, 100, 1000 Active Game](https://www.tes.com/teaching-resource/dividing-with-multiples-of-10-100-1000-11973753)** * **[Multiplying 3 Numbers Active Game](https://www.tes.com/teaching-resource/multiplying-3-numbers-11973613)** Differentiation included in some resources. **Please see the individual resources for more information and previews.** You might also like: **[Line Symmetry Board Game](https://www.tes.com/teaching-resource/line-symmetry-board-game-and-cards-11535144)** **[Area and Perimeter BUNDLE](https://www.tes.com/teaching-resource/area-and-perimeter-game-pack-11551456)**, **[Converting Units of Measure Puzzles](https://www.tes.com/teaching-resource/converting-units-of-measure-puzzles-worksheets-11804807)** **[Maths Hidden Word Puzzles MEGABUNDLE](https://www.tes.com/teaching-resource/ks2-maths-activities-11809251)** **[KS2 Mental Maths BUNDLE](https://www.tes.com/teaching-resource/mental-maths-bundle-ks2-11671827)** **Thank you for supporting my resources. I really appreciate every sale. I hope I can save you time and help you engage your students.** For engaging, time-saving resources to help plan Primary Literacy, Maths and French lessons, visit **[FullShelf Resources](https://www.tes.com/teaching-resources/shop/FullShelf)**

Maths Revision Early Finishers Activities Year 6 / 5

This Upper Key Stage 2 (KS2) Maths / Numeracy BUNDLE of printable worksheets, cards and games is great for revision in Y6 (and Y5 if all included concepts have been taught). Also ideal for warm ups / starter activities and early finishers tasks. Get your students improving their **mental agility** with these fun Crossnumber puzzles. You can have them work on those **times tables** they've forgotten with these Four in a Row games. Plus you can have them work independently or collaboratively on these mostly **multi-step word problems (4 operations)** challenge cards - a key area to come back to over and over again to ensure students can use the four operations in context. *In Scotland, these activities suit Upper Second Level Maths, Primary 6 and 7.* Includes: * **[48 Addition and Subtraction Word Problem Task Cards and worksheet](https://www.tes.com/teaching-resource/addition-and-subtraction-word-problems-11551338)** * **[48 Multiplication and Division Word Problems Task Cards and worksheet](https://www.tes.com/teaching-resource/multiplication-and-division-word-problems-11544278)** * **[8 Mental Maths Cross Number Puzzles](https://www.tes.com/teaching-resource/mental-maths-activities-year-5-6-11670899)** (featuring all 4 operations, fractions, percentages, decimals) * 24 pages of well-differentiated **[Times Tables Four in a Row Board Games](https://www.tes.com/teaching-resource/times-tables-games-11551489)**   Please click on the resources to see previews and more detailed information about each one. I hope this bundle saves you time and provides a bank of resources to return to again and again. Thank you for your interest.   ***YOU MIGHT ALSO LIKE...*** **[Mental Maths Year 5 / 6 BUNDLE](https://www.tes.com/teaching-resource/mental-maths-bundle-year-5-6-11671523)** **[Maths Puzzle Worksheets MEGA BUNDLE](https://www.tes.com/teaching-resource/ks2-maths-activities-11809251)** **[Angles BUNDLE](https://www.tes.com/teaching-resource/ks2-angles-bundle-11803965)** **[Area and Perimeter BUNDLE](https://www.tes.com/teaching-resource/area-and-perimeter-game-pack-11551456)** **[Maths Puzzles Worksheets HUGE BUNDLE](https://www.tes.com/teaching-resource/ks2-maths-activities-11809251)** **[Angles Activities BUNDLE](https://www.tes.com/teaching-resource/ks2-angles-bundle-11803965)** **[Decimal Activities KS2 BUNDLE](https://www.tes.com/teaching-resource/decimal-numbers-activities-ks2-12089804)** **[Line Symmetry Board Game](https://www.tes.com/teaching-resource/line-symmetry-board-game-and-cards-11535144)** **[Multiplication and Division Activities BUNDLE](https://www.tes.com/teaching-resource/ks2-multiplication-division-bundle-11673875)** **[Place Value CrossNumber Puzzles](https://www.tes.com/teaching-resource/place-value-puzzles-worksheets-11691673)** Explore more at **[FullShelf Resources](https://www.tes.com/teaching-resources/shop/FullShelf)**

Four Operations Maths Word Problems Multi Step KS2 BUNDLE

These Upper Key Stage 2 (KS2) Year 5 and Year 6 Maths multi-step problem solving cards make great consolidation and challenge activities for the four operations in real life contexts. In this value BUNDLE there are 96 mostly 2 or 3 step word problems task cards (addition and subtraction, plus multiplication and division). Includes full answers, recording sheets and an additional 16 problems on worksheets. Great for main lesson tasks or early finisher challenges. Made for Upper KS2 lessons (Y5 and Y6) but suits some early KS3 (Year 7), this problem-solving **BUNDLE** combines my very popular **[Addition and Subtraction Word Problems](https://www.tes.com/teaching-resource/addition-and-subtraction-word-problems-11551338)** and **[Multiplication and Division Word Problems](https://www.tes.com/teaching-resource/multiplication-and-division-word-problems-11544278)**, which can be purchased separately if required. These activities are great for early finisher challenges / extension tasks or for practice when focusing on the four operations and problem-solving skills. Please see the individual resource pages for more detailed information and previews to check if these will suit your needs. **All files in PDF format.** **BUNDLE includes:** * 48 Adding and Subtracting Word Problem Cards * 48 Multiplying and Dividing Word Problem Cards * Answer Sides to print on reverse if required * Separate 1-page Answer Keys * Recording Sheets in 1-page and 3-page versions * 2 double-sided worksheets, featuring an additional 16 word problems (and answers) * Problems cover a range of contexts and the concepts covered include money **(UK pounds)**, measure **(metric)**, decimals, fractions etc. * **Alternative dollar versions** of all resources are also included The files containing the cards have the question sides on the odd numbered pages and the answer sides on the even numbered pages. Set your printer to print back-to-back or, if your printer can't do this, simply place the card or paper back in the printer in the correct order and print the even numbered pages on the other side. You can laminate and have students work individually or in groups, checking the answer on the back once they've had a go. Alternatively, make it competitive and have individuals or pairs race to solve them, using a timer perhaps. **Separate 1-page cards featuring all answers are included in case you prefer not to print the answers on the back of the cards. ** The double-sided worksheets, one in each of the packs, can be used for classwork or as homework tasks. If you prefer to buy the 2 word problem packs along with times tables games and mental maths puzzles, try this great value **[Maths Revision Activities BUNDLE](https://www.tes.com/teaching-resource/back-to-school-maths-activities-bundle-year-6-11689532)** Other popular KS2 Numeracy and Maths resources: **[Mental Maths Bundle Year 5 / 6](https://www.tes.com/teaching-resource/mental-maths-bundle-year-5-6-11671523)** **[Maths Puzzle Worksheets MEGA BUNDLE](https://www.tes.com/teaching-resource/ks2-maths-activities-11809251)** **[Angles BUNDLE](https://www.tes.com/teaching-resource/ks2-angles-bundle-11803965)** **[Area and Perimeter BUNDLE](https://www.tes.com/teaching-resource/area-and-perimeter-game-pack-11551456)** Thanks for supporting my resources. You can explore many more at **[FullShelf Resources](https://www.tes.com/teaching-resources/shop/FullShelf)**

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

chickenlady4

Really useful - a selection of problems that I gave to yr5/6. They enjoyed them and it had the right level of challenge.

Thank you so much for taking the time to leave this lovely review and high rating. I really appreciate it. I am delighted that these were so useful for your students. Best wishes!

Empty reply does not make any sense for the end user

Excellent resource. Thank you for sharing!

Thank you so much for taking the time to leave these kind words and to rate this so highly. I really appreciate it.

Thanks so much for taking the time to rate this resource pack 'Excellent'.

I'm glad you were pleased with these. Thanks so much for taking the time to rate them so highly.

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Mastery-Aligned Maths Tutoring

“The best thing has been the increase in confidence and tutors being there to deal with any misunderstandings straight away."

FREE daily maths challenges

A new KS2 maths challenge every day. Perfect as lesson starters - no prep required!

25 Fun Maths Problems For KS2 And KS3 (From Easy To Very Hard!)

Fun maths problems are one of the things mathematicians love about the subject; they provide an opportunity to apply mathematical knowledge, logic and problem solving skills all at once.  In this article, we’ve compiled 25 fun maths problems, each covering various topics and question types. They’re aimed at students in KS2 & KS3. We’ve categorised them as:

Maths word problems

Maths puzzles, fraction problems, multiplication and division problems, geometry problems, problem solving questions, maths puzzles are everywhere, how should teachers use these maths problems.

Teachers could make use of these maths problem solving questions in a number of ways, such as:

• embed into a relevant maths topic’s teaching.
• settling tasks at the beginning of lessons.
• break up or extend a maths worksheet.
• keep students thinking mathematically after the main lesson has finished.

Some are based on real life or historical maths problems, and some include ‘bonus’ maths questions to help to extend the problem solving fun! As you read through these problems, think about how you could adjust them to be relevant to your students or to practise different skills. 

These maths problems can also be used as introductory puzzles for maths games such as those introduced at the following links:

• KS2 maths games
• KS3 maths games

Need more support teaching reasoning, problem solving and planning for depth ? Read here for free CPD for you and your team of teachers.

1. Home on time – easy

Type: Time, Number, Addition

A cinema screening starts at 14:35. The movie lasts for 2 hours, 32 minutes after 23 minutes of adverts. It took 20 minutes to get to the cinema. What time should you tell your family that you’ll be home?

Answer: 17:50

2. A nugget of truth – mixed

Type: Times Tables, Multiplication, Multiples, Factors, Problem Solving 

Chicken nuggets come in boxes of 6, 9 or 20, so you can’t order 7 chicken nuggets. How many other impossible quantities can you find (not including fractions or decimals)?

Answer: 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 22, 23, 25, 28, 31, 34, 37, or 43

There is actually a theorem which can be used to prove that every integer quantity greater than 43 can be ordered.

3. A pet problem – mixed

Type: Number, Problem Solving, Forming and Solving Equations, Simultaneous Equations, Algebra

Eight of my pets aren’t dogs, five aren’t rabbits, and seven aren’t cats. How many pets do I have?

Answer: 10 pets (5 rabbits, 3 cats, 2 dogs)

4. The price of things – mixed

Type: lateral thinking problem

A mouse costs £10, a bee costs £15, and a spider costs £20. How much does a duck cost? Answer: £5 (£2.50 per leg)

Looking for more word problems, solutions and explanations? Read our article on word problems for primary school.

25 Fun Maths Problems - Printable

Download a printable version of these fun maths problems together with answers and mark scheme.

5. A dicey maths challenge – easy

Type: Place value, number, addition, problem solving

Roll three dice to generate three place value digits. What’s the biggest number you can make out of these digits? What’s the smallest number you can make?

Add these two numbers together. What do you get?

Answer: In most cases, 1,089.

Bonus: Who got a different result? Why?

6. PIN problem solving – mixed

Type: Logic, problem solving, reasoning

I’ve forgotten my PIN. Six incorrect attempts locks my account: I’ve used five! Two digits are displayed after each unsuccessful attempt: “2, 0” means 2 digits from that guess are in the PIN, but 0 are in the right place.

What should my sixth attempt be?

Answer: 6347

7. So many birds – mixed

Type: Triangular Numbers, Sequences, Number, Problem Solving

On the first day of Christmas my true love gave me one gift. On the second day they gave me another pair of gifts plus a copy of what they gave me on day one. On day 3, they gave me three new gifts, plus another copy of everything they’d already given me. If they keep this up, how many gifts will I have after twelve days?

Answer: 364

Bonus: This could be calculated as 1 + (1 + 2) + (1 + 2 + 3) + … but is there an easier way? What percentage of my gifts do I receive on each day?

8. I 8 sum maths questions – mixed

Type: Number, Place Value, Addition, Problem Solving, Reasoning

Using only addition and the digit 8, can you make 1,000? You can put 8s together to make 88, for example.

Answer: 888 + 88 + 8 + 8 + 8 = 1,000 Bonus: Which other digits allow you to get 1,000 in this way?

9. Quizzical – easy

Type: Fractions, Adding Fractions, Equivalent Fractions, Fractions to Percentages

4 friends entered a maths quiz. One answered \frac{1}{5} of the maths questions, one answered \frac{1}{10} , one answered \frac{1}{4} , and the other answered \frac{4}{25} . What percentage of the questions did they answer altogether?

Answer: 71%

10. Ancient problem solving – mixed

Type: Fractions, Reasoning, Problem Solving

Ancient Egyptians only used unit fractions (like \frac{1}{2} , \frac{1}{3} or \frac{1}{4} ). For \frac{2}{3} , they’d write \frac{1}{3} + \frac{1}{3} . How might they write \frac{5}{8} ?

Answer: \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} is correct. So is \frac{1}{2} + \frac{1}{8} .

Bonus: Which solution is better? Why? Can you find any more? What if subtractions are allowed?

Learn more about unit fractions here

11. everybody wants a pizza the action – hard.

An infinite number of mathematicians buy pizza. The first wants \frac{1}{2} pizza. The second wants \frac{1}{4} pizza. The third & fourth want \frac{1}{8} and \frac{1}{16} each, and so on. How many pizzas should they order?

Answer: 1 Each successive mathematician wants a slice that is exactly half of what is left:

12. Shade it black – hard

Type: Fractions, Reasoning, Problem Solving What fraction of this image is shaded black?

Answer: \frac{1}{3}

Look at the L-shaped part made up of two white and one black squares: \frac{1}{3} of this part is shaded. Zoom in on the top-right quarter of the image, which looks exactly the same as the whole image, and use the same reasoning to find what fraction of its L-shaped portion is shaded. Imagine zooming in to do the same thing again and again…

13. Giving is receiving – easy

Type: Number, Reasoning, Problem Solving

5 people give each other a present. How many presents are given altogether?

14. Sharing is caring – mixed

I have 20 sweets. If I share them equally with my friends, there are 2 left over. If one more person joins us, there are 6 sweets left. How many friends am I with?

Answer: 6 people altogether (so 5 friends!)

15. Times tables secrets – mixed

Type: Area, 2D Shape, Rectangles

Here are 77 letters:

BYHRCGNGNEOEAAHGHGCURPUTSTSASHHSBOBOREOPEEMEMEELATPEPEFADPHLTLTUT IEEOHOHLENRYTITIIAGBMTNTNFCGEIIGIG

How many different rectangular grids could you arrange all 77 letters into?

Answer: Four: 1⨉77, 77⨉1, 11⨉7 & 7⨉11. If the letters are arranged into one of these, a message appears, reading down each column starting from the top left.

Bonus: Can you find any more integers with the same number of factors as 77? What do you notice about these factors (think about prime numbers)? Can you use this system to hide your own messages?

16. Laugh it up – hard

Type: Multiples, Lowest Common Multiple, Times Tables, Division, Time

One friend jumps every \frac{1}{3} of a minute. Another jumps every 31 seconds. When will they jump together? Answer: After 620 seconds

17. Pictures of matchstick triangles – easy

Type: 2D Shapes, Equilateral Triangles, Problem Solving, Reasoning

Look at the matchsticks arranged below. How many equilateral triangles are there?

Answer: 13 (9 small, 3 medium, 1 large)

Bonus: What if the biggest triangle only had two matchsticks on each side? What if it had four?

18. Dissecting squares – mixed

Type: Reasoning, Problem Solving

What’s the smallest number of straight lines you could draw on this grid such that each square has a line going through it?

19. Make it right – mixed

Type: Pythagoras’ theorem

This triangle does not agree with Pythagoras’ theorem. 

Adding, subtracting, multiplying or dividing each of the side lengths by the same integer can fix it. What is the integer?

Answer: 3 

8 – 3 = 5

The new side lengths are 3, 4 and 5 and  32 + 42 = 52.

20. A most regular maths question – hard

Type: Polygons, 2D Shapes, tessellation, reasoning, problem-solving, patterns

What is the regular polygon with the largest number of sides that will self-tessellate?

Answer: Hexagon.

Regular polygons tessellate if one interior angle is a factor of 360°. The interior angle of a hexagon is 120°. This is the largest factor less than 180°.

21. Pleased to meet you – easy

Type: Number Problem, Reasoning, Problem-Solving

5 people meet; each shakes everyone else’s hand once. How many handshakes take place?

Person A shakes 4 people’s hands. Person B has already shaken Person A’s hand, so only needs to shake 3 more, and so on.

Bonus: How many handshakes would there be if you did this with your class?

22. All relative – easy

Type: Number, Reasoning, Problem-Solving

When I was twelve my brother was half my age. I’m 40 now, so how old is he?

23. It’s about time – mixed

Type: Time, Reasoning, Problem-Solving

When is “8 + 10 = 6” true?

Answer: When you’re telling the time (8am + 10 hours = 6pm)

24. More than a match – mixed

Type: Reasoning, Problem-Solving, Roman Numerals, Numerical Notation

Here are three matches:

How can you add two more matches, but get eight? Answer: Put the extra two matches in a V shape to make 8 in Roman Numerals:

25. Leonhard’s graph – hard

Type: Reasoning, Problem-Solving, Logic

Leonhard’s town has seven bridges as shown below. Can you find a route around the town that crosses every bridge exactly once?

Answer: No!

This is a classic real life historical maths problem solved by mathematician Leonhard Euler (rhymes with “boiler”). The city was Konigsberg in Prussia (now Kaliningrad, Russia). Not being able to find a solution is different to proving that there aren’t any! Euler managed to do this in 1736, practically inventing graph theory in the process.

Many of these 25 maths problems are rooted in real life, from everyday occurrences to historical events. Others are just questions that might arise if you say “what if…?”. The point is that although there are many lists of such problem solving maths questions that you can make use of, with a little bit of experience and inspiration you could create your own on almost any topic – and so could your students. 

For a kick-starter on creating your own maths problems, read our article on KS3 maths problem solving .

Looking for additional support and resources at KS3? You are welcome to download any of the secondary maths resources from Third Space Learning’s resource library for free. There is a section devoted to GCSE maths revision with plenty of maths worksheets and GCSE maths questions . There are also maths tests for KS3, including a Year 7 maths test , a Year 8 maths test and a Year 9 maths test For children who need more support, our maths intervention programmes for KS3 achieve outstanding results through a personalised one to one tuition approach.

DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s specialist online maths tutors support thousands of students across hundreds of schools with weekly online 1 to 1 maths lessons designed to plug gaps and boost progress.

Since 2013 these personalised one to 1 lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn how the programmes are aligned to maths mastery teaching or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Related articles

Maths Problem Solving: Engaging Your Students And Strengthening Their Mathematical Skills

Free Year 7 Maths Test With Answers And Mark Scheme: Mixed Topic Questions

What Is A Number Square? Explained For Primary School Teachers, Parents & Pupils

What Is Numicon? Explained For Primary School Teachers, Parents And Pupils

FREE Guide to Maths Mastery

All you need to know to successfully implement a mastery approach to mathematics in your primary school, at whatever stage of your journey.

Ideal for running staff meetings on mastery or sense checking your own approach to mastery.

Privacy Overview

Or search by topic

Number and algebra.

• Place value and the number system
• Fractions, decimals, percentages, ratio and proportion
• Calculations and numerical methods
• Algebraic expressions, equations and formulae
• Coordinates, functions and graphs
• Patterns, sequences and structure
• Properties of numbers

Geometry and measure

• 3D geometry, shape and space
• Transformations and constructions
• Vectors and matrices
• Measuring and calculating with units
• Pythagoras and trigonometry
• Angles, polygons, and geometrical proof

Probability and statistics

• Handling, processing and representing data
• Probability (spec_group)

Working mathematically

• Thinking mathematically
• Mathematical mindsets

Advanced mathematics

• Decision mathematics and combinatorics
• Advanced probability and statistics

For younger learners

• Early years foundation stage

Multiplication and Division KS1

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

Magic Plant

The Amazing Splitting Plant

Catrina's Cards

Number detective, the tomato and the bean.

Share Bears

Lots of Lollies

Ring a Ring of Numbers

More Numbers in the Ring

Are you well Balanced?

Clapping Times

Growing Garlic

Lots of Biscuits!

Even and odd

Our Numbers

Pairs of legs

Two numbers under the microscope.

Odd times Even

Doubling Fives

Double or Halve?

Always, Sometimes or Never?

Birthday Sharing

Tables Teaser