maths problem solving games year 4

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National Curriculum In England: Mathematics Programmes Of Study

Fourth grade is a challenging time with students now learning more complicated concepts in math. Students can get instant tutoring with these on-demand videos from math teachers who break down these concepts into easy and short lessons. Teachers go over the concept along with multiple problems to help students complete their assignments. 

• Lessons on angles, reducing fractions, using money, and other new concepts.
• Introduction to algebra and the concept of variables.
• Math teachers teach students how to use scratchpad and go about the problem in the best way.

Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9)

This category is all about children choosing the most appropriate method to achieve a quick and accurate answer and to be able to explain their methods and reasoning.

Problem solving: finding the missing digits in 4-digit numbers. Tricky!

Problem solving: finding the values of missing counters. Logical thinking and careful work needed here!

Reasoning about numbers on a number line and rounding numbers.

More reasoning about number and place value.

Not only do the questions have to be answered, but explanations given. These pages really show how well children understand what they are doing.

More written explanations on which operation to use and whether the question should be done mentally or on paper.

Lots of questions, most of which can be done mentally. The important thing is to explain how they were tackled.

Decide which operation is needed (add, subtract, multiply, divide) and whether a calculator, or pencil and paper are needed, or whether it can be done, 'in your head'.

Solving problems

A selection of problem solving activities and word problems.

Here are some problems written in words. Fairly straightforward as they require just one mathematical step to work out the answer

Some word problems that need at least two steps to find the answer. This makes them much harder, so careful thinking is needed.

5 pages of word problems, all involving money. Some are suitable for calculator work as they are specially written to make the process the most important factor: it is no use having a calculator if you don't know what calculation to carry out!

A range of number and money problems, typical of those found in KS2 test papers.

More number and money problems, typical of those found in KS2 test papers.

Tricky word problems involving time and money.

More word problems; this time on measurement of length, mass and capacity. These really test children's understanding of when to use addition, subtraction, multiplication or division to solve a problem.

Time problems are especially tricky, especially when finding lengths of time that cross the hour boundary. A good knowledge of the number of days in each month is also needed.

Not many problems on a page, but there is an awful lot within each question. Each is a mini investigation, which can be explored in depth.

Number patterns, remainders, number machines and much more in this mixed selection of problems.

Working out the missing value.

More working out missing values.

Using the instructions on the packet what is the maximum number of bulbs that can be grown in the garden?

Using the instructions on the packet what is the maximum number of seeds that can be sown in the garden?

Using the instructions on the packet what is the maximum number of vegetables that can be grown in the garden?

An addition challenge suitable for year 4 on.

The fish are all called numbers. Can you work out their names by solving the clues?

Investigations

More open ended activities where children choose the approach to the task.

Making rules for sequences is an early step towards understanding algebra, and an important part of Year 5 maths. More 'How would you...?' type questions as well.

How many different three course meals can Sam choose?

Investigate patterns made by placing consecutive numbers in a number square.

A great little investigation which has plenty of extension possibilities.

Fun addition investigation using the date: 22.02.2022.

Some thoughts on how important this area of maths is.

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Free Year 4 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha Anilkumar

Here you’ll find all our free Year 4 maths worksheets and Year 4 maths tests, many of which are suitable for homework as well as classroom teaching.

You can use these resources and workbooks as you like; most of the KS2 maths worksheets come in pdf format and all of them are printable if you want to give children something physical to work with. But they can also be downloaded and kept, or viewed online, if you prefer to keep things electronic. 

To supplement these we also have a range of maths activities , lesson plans and powerpoints for classroom teaching which are available from our White Rose maths  page.

Many of these worksheets and maths tests are aimed at helping children improve their number work – we have mental maths practice work, place value worksheets , addition and subtraction worksheets , multiplication & division worksheets etc.

All our maths worksheets and tests come with answer sheets too, including advice from the National Curriculum (about the range of answers that are acceptable, for example), where needed.

If you’re a  parent  looking for more advice, try our  home learning  hub full of  home learning packs , tips and teaching ideas for  Year 4 Maths  at home and  maths homework .

If you’re a  teacher or school leader  who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our  online tutoring  programme of  maths interventions , together with  maths resources  and CPD. You’re welcome to link to these free resources from your own website like thousands of other schools do.

Free Year 4 Maths Worksheets and Tests

A collection of free Year 4 maths activities from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

Year 4 Maths Worksheets for fluency, reasoning, and problem solving

Year 4 times tables worksheets, year 4 place value worksheets, year 4 addition and subtraction worksheets , year 4 multiplication and division worksheets , year 4 decimals worksheets , year 4 measurement worksheets, year 4 fractions worksheets, year 4 statistics worksheets, year 4 maths tests: all topics, year 4 maths worksheets to improve fluency, mental maths and arithmetic skills: fluent in five.

Fluent in Five worksheets provide a series of questions designed to take no more than 5-10 minutes and to help children develop their written and mental maths skills. Developing maths fluency in a key skill for children, especially in Year 4 with the newly-introduced times tables check to work towards. 

Download  Fluent in Five Arithmetic Pack (Year 4) Weeks 1-6

Year 4 Maths Worksheets for improving reasoning and problem solving skills: Rapid Reasoning

The Rapid Reasoning resource was created to fulfil the greater emphasis that a maths mastery approach gives to children’s ability to reason well. ‘Explaining your reasoning’ is a key part of maths lessons in Key Stage 2, and these free worksheets (six weeks’ worth in total) help children improve their reasoning skills. Each worksheet comes with around three questions based on Year 4 maths topics, example answers, and even step-by-step explanations to help pupils break down how to get to an answer. 

Download  Rapid Reasoning (Year 4) Weeks 1-6

Year 4 Maths Test: Times Tables

Knowing their multiplication tables is one of the key maths skills every child should have by the time they leave primary school, and Year 4 children will have this skill tested through the new multiplication tables check . 

These times tables practice tests provide a quick and clear way to help children practise, and spot any gaps in their knowledge. No more worries about getting caught out on the 7x table!

Download the Times Tables Packs

Year 4 Maths Worksheets for times tables: Tarsia Puzzles Mixed Times Tables Pack

These times tables worksheets are a fun way to practise times tables facts and related division facts independently and develop mental arithmetic skills.  

Download the Tarsia Puzzles Mixed Times Tables Pack

Year 4 Maths Worksheets for place value: All Kinds of Word Problems

This worksheet contains ten increasingly difficult questions about number and place value. A great choice whether you want to help a child revise this topic, or give a high achiever something more challenging to do as homework!

Download  All Kinds of Word Problems on Number and Place Value (Year 4)

Year 4 Maths Worksheets for addition and subtraction: Let’s Practise Using the Bar Model

These worksheets focus on word problems involving addition and subtraction of up to 4-digit numbers. It is important for children to experience a range of question types, especially in a topic where they may feel more confident. 

Download Year 4 addition and subtraction worksheets: Let’s Practise Using the Bar Model

Year 4 Maths Worksheets for addition and subtraction: Worked Examples

While children will have looked at formal column addition and subtraction, there are many common mistakes that even the most experienced amongst them can make. This worksheet highlights the common errors when using formal written methods, estimating and identifying related facts for addition and subtraction calculations. 

Download Year 4 Worked Examples Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: Maths Code Crackers

Sometimes a simple set of fluency questions can be engaging. This worksheet focuses on calculations including up to 4-digit numbers add 4-digit numbers and up to 4-digit numbers subtract 4-digit numbers, all with the aim of finding answers and the punchline to a halloween themed joke. 

Download Year 4 Code Crackers: Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: All Kinds of Word Problems 

These worksheets provide children with an opportunity to solve a wide range of addition and subtraction word problems. The problems range from missing digits to adding money and measures.

Year 4 Maths Worksheets for multiplication: All Kinds of Word Problems 

In Year 4, children are not only expected to know their times tables facts up to 12 x 12, they also need to know how to multiply 3-digit numbers by a 1-digit number. This workbook covers problems involving factors, missing numbers, multiplying 3-digit numbers by 1-digit numbers as well as times table facts. 

Download All Kinds of Word Problems: Multiplication 

Year 4 Maths Worksheets for multiplication: Let’s Practise Using the Bar Model

These worksheets include a range of word problems that can be solved using bar models. The questions cover times tables up to 12 x 12 as well as 2-digit numbers multiplied by 1-digit numbers. 

Download Year 4 Let’s Practise Using the Bar Model Multiplication Worksheets

Year 4 Maths Worksheets for division: Short and Long Division Worksheets

Long division is one of the most difficult parts of the primary maths curriculum, and learning long division requires a good understanding of short division to start with. While a Year 4 child won’t have learnt long division yet, these worksheets include short division questions at the beginning, helping children sharpen their division skills in preparation for the next step.

Download our Free Year 4 Division Worksheets

Year 4 Maths Worksheets for multiplication and division: Code Crackers

A fun way for children to get some more practise in: every question’s answer is part of the punchline of a joke. Solve them all and you solve the joke! The questions themselves cover all of the new things pupils have learned about the topic, so it’s easy to identify where any gaps are. 

Download  Maths Code Crackers Year 4: Multiplication and Division

Year 4 Maths Worksheets for multiplication and division: Worked Examples 

Children love to be the teacher. This worksheet gives children an opportunity to check work that has already been completed, explain any errors and develop reasoning skills. The worksheet covers a range of multiplication and division topics, including multiplying three 1-digit numbers together and dividing a 2-digit number by a 1-digit number.

Download Year 4 Worked Examples Multiplication and Division 

Year 4 Maths Worksheets on decimals: Independent Recap

This small collection of four worksheets covers tenths, hundredths, and dividing 1- and 2-digit numbers by 10 and 100 – all topics covered in Year 4 maths.

As independent working activities, they are specifically designed to be completed by children even if they can’t get access to online tools, or parent support.

Download the Year 4 Decimals Independent Recap Worksheets

Year 4 Maths Worksheets on decimals: Worked Examples 

Decimals are first formally introduced to children in Year 4. This worksheet focuses on a range of topics including understanding the value of the digits in a decimal number, dividing by 10 and converting between fractions and decimals. As decimals is a new topic to Year 4, there are several common errors pupils could make and this worksheet aims to address these misconceptions. 

Download Year 4 Worked Examples Decimals

Year 4 Maths Worksheets on decimals: Maths Code Crackers Year 4 Decimals

This worksheet focuses on the value decimals, ordering decimals and adding decimals to make a whole in a fun way. Children need to answer the questions to solve the answer to a topical joke. 

Download Maths Code Crackers Year 4 Decimals

Year 4 Maths Worksheets on area: Code Crackers

Area is a new and more complicated Year 4 topic, moving away from the number facts and arithmetic-based work children will have been used to from previous years. Our Code Crackers worksheet on area gives them the chance to test their understanding of this more complex topic, and have fun at the same time. Answers for all questions are included with the pack. 

Download  Maths Code Crackers Year 4: Area

Year 4 Maths Worksheets on area: Year 4 Worked Examples Area

When covering the topic of area, it is important that children understand not only what area is but what a 2-D shape is. This worksheet covers the required content for this year group while also addressing common misconceptions that can form when the new topic of area is introduced. Children will focus on counting the squares to calculate areas as well as compare areas while they check and explain incorrect answers. 

Download Year 4 Worked Examples Area

Year 4 Geometry worksheets

Year 4 maths worksheets for properties of shape: independent recap.

Children have been learning about shapes since Year 1, but that does not mean the content is easy to understand. These worksheets cover identifying angles (including the names of angles and measurements in degrees), comparing and ordering angles as well as properties of 2d shapes, classifying triangles and quadrilaterals and identifying lines of symmetry  and completing symmetrical figures. 

Download Year 4 properties of shapes worksheets: Independent Recap  

Year 4 Maths Worksheets for properties of shape: Code Crackers

This properties of shape worksheet focuses on recapping all the learning from this block of work. With a range of retrieval questions to answer, children need to answer the questions correctly to find the answer to a Wimbledon related joke. 

Download Year 4 properties of shape worksheets: Code Crackers

Year 4 Maths Worksheets for properties of shape: Worked Examples

There are several different aspects of properties of shape that children need to know in Year 4. This worksheet recaps some of the key language in the topic (for example, obtuse angle, rhombus) as well as some key concepts (for example, classification of triangles, lines of symmetry), while including opportunities to develop reasoning skills. 

Download Year 4 Properties of Shapes Worksheets: Worked Examples

Year 4 Maths Worksheets for fractions: Code Crackers

Finding fractions of numbers is a maths skill that becomes more and more important the later a child gets in their maths learning, but the basics are covered in Key Stage 2. This fractions for kids worksheet helps children become better at solving these types of problems without making it seem (too much) like work. 

Download  Maths Code Crackers Year 4: Fractions

Year 4 Maths Worksheets for fractions: Independent recap 

These worksheets recap adding and subtracting fractions with the same denominator and calculating fractions of quantities. Children will have been introduced to both of these topics in Year 3, however it is important that they have a strong understanding of the concepts before moving on to more complex fraction work. These worksheets encourage completely independent work. 

Download Year 4 Fractions Independent Recap

Year 4 Maths Worksheets for fractions: Year 4 Worked Examples

The topic of ‘fractions’ is very broad. In this worksheet, the focus is on 5 different areas of the fractions block that children in Year 4 often find confusing (adding three or more fractions, finding a fraction of an amount, subtracting from a whole, equivalent fractions and counting in fractions). 

Download Year 4 Worked Examples Fractions

Year 4 Maths Worksheets for statistics: Worked Examples

In Year 4, children are expected to be able to read and interpret a range of graphs and tables. This worksheet focuses on reading a table, bar chart and line graph. Children should be familiar with tables and bar charts but will have been introduced to line graphs for the first time in Year 4.  

Download Year 4 Maths Worksheets for statistics: Worked Examples

Year 4 Maths Worksheets for statistics: Independent Recap

These worksheets focus on answering questions about bar charts, tables and line graphs. As line graphs are new to Year 4, one of the worksheets in this pack encourages children to use data to draw their own line graphs. 

Download Year 4 Maths Worksheets for statistics: Independent Recap

Year 4 Maths Worksheets for statistics: Code Crackers

This worksheet encourages children to read and interpret a range of graphs to answer retrieval, comparison and sum questions about a range of different graphs and tables. 

Download Year 4 Maths Worksheets for statistics: Code Crackers

A great way to get an overall idea of a Year 4 child’s maths learning – two tests (one arithmetic, one reasoning) of about an hour each, with answer sheets included. Please remember that children may not have covered every topic on this test, so they may not be able to answer some questions.

Download our free Year 4 Assessment Pack

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

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Learn about the Year 3-5 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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Problem-solving maths investigations for year 4.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 4 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 4 .

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.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 4:

• Individually, they are incorporated into every unit in our Year 4 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 4 .

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

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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• 11-14 Years

Play these fun Maths Games for 5-7 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.

Shape Patterns

Shape Patterns is a sequencing game where children from 3 to 8 years of age need to complete the pattern of different coloured 2D shapes. Three levels of difficulty.

Bobbie Bear

How many different outfits can Bobbie Bear wear in each game given the options for shirts and trousers. Can you find a way to predict how many before trying all the combinations?

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.

Number Trains

Make a train by sequencing the numbers on their carriages. The numbers are represented in a range of formats such as words, numerals, dice dots or counting frames. The levels progress in difficulty. Level 5 has sequences of twos, fives and tens.

Problem-Solving Booklet: Year 4

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This Problem-Solving Booklet is a great resource for your students to practise utilising problem-solving skills.

This booklet has 18 pages of questions, having students apply addition, subtraction, division, and multiplication operations to answer the problem. Each page has the students identify the operation needed and the problem-solving strategy they will use, then record the number sentence to solve the problem. Some problems have multiple steps to extend students. It also contains two cover pages as it may be suitable to use with other year grades.

This would work well in small group activities, extension work, or as an independent task.

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Year 4 Money Challenges Solving Money Problems

Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems.

These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

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Year 3 Money Learning

Knowing how to handle and calculate with money is a very important life-skill.

During Year 3, children build on their knowledge and skills they have achieved during Year 2.

By the time children reach the end of Year 3, they should be able to:-

• use decimal notation for amounts of money, e.g. £3.27
• change amounts in £ to amounts in pence and back;
• count money up to £10;
• calculate change for amounts of money up to £1 mentally;
• solve simple problems involving money;
• use informal methods to add and subtract money amounts in £ and pence.

Our worksheets will support your child with these objectives.

Year 4 Money Challenges Information

The following worksheets involve solving challenges involving money amounts. They are a great way to consolidate and extend money learning once children are confident with counting money amounts.

The challenges start off at a fairly easy level with problems that involve lower value coins and smaller money amounts. The challenges later on involve more complex problems with larger values to calculate.

If you are teaching a class or group of children, then these sheets should give you some great differentiated learning activities with a money theme.

An answer sheet is available for each challenge provided.

The money challenges in each section are carefully graded, allowing you to introduce concepts at an easier level before introducing harder work, or differentiate within your class.

Using the sheets in this section will help your child to:

• count money in coins;
• develop their reasoning and thinking skills;
• solve problems involving money.

All the money worksheets in this section will help your child to become more confident with money, and develop better problem solving skills.

These problems and challenges build on our Year 3 Money Challenges .

Year 4 Money Challenges Worksheets

There are 3 challenges - Tyger's Money Square Challenge, Row of Coins Challenge and How Much Money Challenge.

Each main challenge has several versions which start with the easiest level and progress onto harder levels of challenge.

Row of Coins Challenges

• Row of Coins Challenge 4:1
• PDF version
• Row of Coins Challenge 4:2

Tyger's Money Square Challenges

• Tyger's Money Square Challenge 4:1
• Tyger's Money Square Challenge 4:2
• Tyger's Money Square Challenge 4:3

How Much Money Challenges

• How Much Money Challenge 4:1
• How Much Money Challenge 4:2

Match the Coins

• Match the Coins 4:1
• Match the Coins 4:2

Extension Activity Ideas

If you are looking for a way to extend learning with the How Much Money challenge, why not...

Try playing 'How Much Money' in pairs.

One person chooses 2 or 3 coins and the other person has to ask questions which involve 'yes' or 'no' answers.

To make the game more interesting, have a maximum of 5 questions before you make a guess!

Looking for some more UK money worksheets?

We also have some counting money worksheets with amounts up to £1 or £5.

The sheets are at a more basic level than those on this page.

• Free UK Money Worksheets Coins up to £1
• Year 3 Money Worksheets Coins up to £5
• Year 3 Money Challenges

More Recommended Math Worksheets

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

Money Riddles

These puzzles are a great money starter activity to get children thinking and puzzling out which the correct answer is out of a set number of choices. They are great for partner work too.

UK Money Riddles

If you are looking for some fun learning puzzles involving money, then look no further.

The puzzle sheets in this section are designed primarily for children in Years 3 and 4 who need to develop their problem solving skills and mathematical language.

Using these challenges will help your child to:

• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Money Riddles for Kids (UK coins)

Money Column Addition Worksheets

Here you will find a selection of Column Addition Money sheets designed to help your child add different amounts of money.

Using these sheets will help your child to:

• add up a range of money amounts involving decimals.

The worksheets in this section are aimed at children in Years 4 and 5.

• Column Addition Money Worksheets (UK)

Money Column Subtraction Worksheets

Here you will find a selection of Column Subtraction Money sheets designed to help your child subtract different amounts of money.

• subtract a range of money amounts involving decimals.
• Column Subtraction Money Worksheets (UK)
• Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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Free Primary Maths Games for Year 4 UK learners

Great games can be a great way of reinforcing maths for young learners. Interactive games introduce excitement and competition into the learning mix which can particularly suit some boys who are resistant to other learning (or teaching) methods.

The games must be easy to understand and play without long explanations or pages of rules - simple games can be just as exciting as more complicated ones as long as they are well-designed.

Select a game below to start playing or continue reading for more details.

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About the games.

Our maths games are designed to be both simple to understand and quick to play. They are suitable for both school pupils and home-educated children and are designed to be played by individual players learning or revising maths. The games are primarily based on answering questions either using the keyboard or multiple choice - this is done in a variety of ways in the different games.

All our games are available online and are free to use with all our topics - that is well over 17,000 question / answer pairs that are at the core of any Primary maths course. Our games are accompanied by maths lessons and tests to provide a vital free resource for maths learners with limited (or no) budget. The details for each game are given on their own pages.

Select a game below for more information on how it is played:

How to use our maths Games

Click on the name of a game to go to that game page with the topic you have selected. On the game page there are instructions on how to play the game in addition to a chance to change the topic you want to play with. All our Primary maths games are quick to play and easy to understand. You need to have seen the maths you are going to play with before you play the games, either at school or using our own Maths lessons .

The frog flies

Cat and mouse

The beetle and the bee

Four in a row

Choose or lose

Mix and match

Future Games

We intend to develop many more games for Free Maths Games - if you would like to suggest a game, please use the contact page to let us know your ideas.

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Games and Interactives

Games - Lower Primary

Playing these games will help to test your understanding of different topics.

Games - Upper Primary

Playing these Free KS1/KS2 Maths games will help to test your understanding of different mathematics topics.

Interactives - Lower Primary

Try these interactives to improve your skills in a variety of topics.

Interactives - Upper Primary

Try these interactives to improve yours skills in a variety of topics.