year 5 maths problem solving

Teacher-Trusted Tutoring

Personalised one to one tutoring that boosts confidence and doubles progress

FREE daily maths challenges

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

Free Year 5 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha Anilkumar

Here you’ll find all our Year 5 maths worksheets, and Year 5 maths tests that are suitable for use during classroom lessons and as homework.

• What to expect from our Year 5 Maths worksheets

These KS2 maths worksheets cover every part of the Year 5 primary maths curriculum, to help your children practise and gain confidence in their understanding ahead of Year 6 and the KS2 SATs . Their focus is on retrieval practice – going over topics that children should already have covered and helping them strengthen their knowledge and understanding. 

Most of our worksheets come in pdf format, and all of them are printable. But if you’re running out of printer ink, they can be viewed online too. 

Every Year 5 maths test or worksheet comes with its own answer sheet, and guidance from the National Curriculum is included wherever it might be needed (for example, if there might be more than one correct answer for a question). Some worksheets also include model answers to help children break down the best way to solve a problem. 

Note: The National Curriculum does not specify any place value teaching for Year 5. However this is often a good time to begin revising the topic (among others) in preparation for the KS2 SATs. Have a look at these place value worksheets as part of your revision.

Similarly, addition and subtraction work is largely an extension of what was covered in previous years. Take a look at our collection of addition and subtraction worksheets for practice materials for these topics.

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 5 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.

Free Year 5 Maths Worksheets and Tests

A collection of worksheets and activities suitable for home learning from the Third Space Maths Hub. Register (for free) to download. Use Google Chrome

Year 5 Place Value Worksheets

Year 5 addition and subtraction worksheets, year 5 multiplication and division worksheets, year 5 fractions worksheets, year 5 decimals and percentages worksheets, year 5 statistics worksheets, year 5 measurement worksheets, year 5 maths tests, year 5 mental maths and arithmetic worksheets: fluent in five.

One of our most popular resources with parents and teachers and a great way to start or end the day, Fluent in Five worksheets include 5-10 minutes worth of quick arithmetic questions designed to help children become quicker at making mental or written calculations. 

Children are given around 5 questions per maths worksheet – more than in previous years – to get them used to completing more questions in a short space of time ahead of Year 6 and the KS2 maths arithmetic paper. 

Download the free Year 5 mental maths worksheets

Year 5 Maths reasoning and problem solving worksheets: Rapid Reasoning

Reasoning is one of the key maths skills pupils are expected to show by the time they take the Key Stage 2 SATs, and our Rapid Reasoning worksheets give them plenty of extra practice! This pack comes with six weeks of questions, with around three to four word problems to solve per day. 

Download the free Year 5 maths reasoning worksheets

Year 5 Maths worksheets place value: Code Crackers

Place value is one of the most important topics in the mathematics curriculum. This fun worksheet covers key elements of the Year 5 place value curriculum including Roman numerals, negative numbers and rounding. 

Use this free resource to recap Year 5 place value learning whilst finding the punchline to a pirate themed joke. 

Download the Year 5 Code Crackers Place Value worksheets

Year 5 Maths worksheets place value: All kind of word problems

Place value is the basis of all mathematical knowledge. This workbook encourages children to deepen their understanding of place value through a range of different problems. Children will focus on understanding and rounding decimal numbers in context (money) creating numbers with different values and understanding Roman numerals in context (years written in Roman numerals). 

Download Year 5 place value worksheets: All kind of word problems

Year 5 Maths worksheets place value: Worked Examples

As larger numbers are introduced, children can find the topic of place value more challenging. This worksheet focuses on common misconceptions and encouraging children to identify and explain errors, therefore developing their reasoning skills. 

Download Year 5 place value worksheet: Worked Examples

Year 5 Maths worksheets addition and subtraction: Let’s practise using the bar model 

Year 5 children will not only need to know how to add and subtract numbers with more than 4-decimal places, they will also need to add and subtract decimal numbers. This worksheet focuses on solving worded problems that include these elements, while also introducing the very useful visual element of a bar model. 

Download Year 5 addition and subtraction worksheets: Let’s practise using the bar model 

Year 5 Maths worksheets addition and subtraction: Worked Examples

Children can often make errors when using formal written methods of addition and subtraction, estimating or mental arithmetic methods. This worksheet encourages children to consider and discuss common errors that could be encountered. 

Download Year 5 addition and subtraction worksheets: Worked Examples

Year 5 Maths worksheets addition and subtraction: All kinds of word problems

This resource encourages children to think about maths in a more open ended way. In this workbook, children are presented with a range of problems to solve and not all of them will have one answer only. From checking the addition and subtraction answers to writing a range of ways to create a number, pupils will be challenged with this resource. 

Download Year 5 addition and subtraction worksheets: All kinds of word problems

Year 5 Maths worksheets addition and subtraction: Code Crackers

Sometimes, some simple retrieval questions to round up a topic is all that is needed. This resource focuses on adding and subtracting numbers with 4 or more digits to find the answer to a space themed joke. 

Download Year 5 worksheets addition and subtraction: Code Crackers

Year 5 Maths worksheets on Times Tables: Tarsia Puzzles 

By the time children start in Year 5, they are expected to know all their times tables in any order and the related division facts. These worksheets are a fun way to practise times tables facts independently and develop mental arithmetic skills for any children who are less confident.

Download Year 5 Tarsia Puzzles Mixed Times Tables Pack

Year 5 Maths Worksheets for long multiplication

By the end of Year 5, children are expected to be able to multipy up to 4-digit numbers by 1- and 2-digit numbers, and multiply decimal and whole numbers by multiples of 10 up to 1000, according to the National Curriculum. 

These worksheets help pupils improve their skills with the former, with 45 questions ranging from multiplying 2-digit numbers by other 2-digit numbers all the way to multiplying 4-digit numbers. Each worksheet also comes with an answer scheme and modelled answers to show children how to correctly lay out their long multiplication calculations. 

Download the free Year 5 Long Multiplication Worksheets

Year 5 Maths worksheets multiplication: All kinds of word problems

This workbook focuses on a range of different multiplication problems that require multiple steps to find an answer. The questions include comparison statements, complete the multiplication grid and multiplication questions involving money.

Download Year 5 multiplication worksheets: All kinds of word problems

Year 5 Maths worksheets multiplication: Let’s practise using the bar model

Children can find worded problems challenging to answer. This worksheet focuses on recapping multiplication facts up to 12 x 12 then progressing to up to 3-digit numbers multiplied by teen numbers. While this may seem challenging, the addition of the bar models helps pupils to visualise and answer the more complex problems.

Download Year 5 multiplication worksheets: Let’s practise using the bar model

Year 5 Maths Worksheets for long division

Long division is one of the most difficult parts of the primary maths curriculum. This set of 3 worksheets helps children practice it in stages, including several short division questions to begin with to help them get warmed up before tackling the harder questions. 

Download the free Year 5 Long Division Worksheets

Year 5 Maths Worksheets for multiplication & division: Code Crackers

Our Code Crackers worksheets give children a fun way to revise their knowledge of a topic. Each Code Crackers worksheet includes a series of questions – in this case multiplication and division problems – based on what they have learned that year, and the answers can be put together to make the punchline of a joke!

In Year 5 children will mostly be practising long multiplication and division, but some short division/short multiplication questions are also included, to help them keep their knowledge of the basics sharp. 

Download the free Year 5 Multiplication and Division Worksheets

Year 5 Maths Worksheets for multiplication & division: Worked Examples

There is a lot of content to cover for multiplication and division in Year 5, which is why we made two different worked examples worksheets. The first worksheet covers common misconceptions found when learning about prime numbers, square numbers, multiplying or dividing by a power of ten and factors. The second worksheet covers multiply 4-digit numbers by 1-digit numbers (and two 2-digit numbers) and dividing a 4-digit number by a 1-digit number.

Download Year 5 multiplication & division worksheet 1: Worked Examples

Download Year 5 multiplication & division worksheet 2: Worked Examples

Year 5 Maths Worksheets on fractions: Code Crackers

By Year 5, children have learned about both equivalent fractions and improper fractions, and even begun combining the two. Our Code Crackers fractions worksheet helps them get even more practice in solving these complicated questions. 

Download the free Year 5 Fractions Worksheets

Year 5 Maths Worksheets on fractions: Independent Recap

Our newest style of maths worksheets, independent recap sheets are meant to be completed by children with little extra support, making them perfect home learning or homework activities.

This Year 5 maths worksheet focuses on finding fractions of amounts, and includes an arithmetic warm up involving adding and subtracting fractions, before moving onto reasoning questions that test how well children have learned how to calculate fractions of amounts. 

Download the free Year 5 Fractions of Amounts Worksheet

Year 5 Maths worksheet on fractions: worked examples

There are certain aspects of fractions that will be familiar to Year 5 students but may still carry misconceptions. This worksheet focuses on showing these misconceptions to children to allow them to discuss them openly. While the worksheet covers some familiar aspects (adding and subtracting fractions, ordering fractions) a new element of different denominators has been introduced. 

Download Year 5 fractions worked examples

Year 5 Maths Worksheets on decimals and percentages: Code Crackers

A worksheet of problems covering percentages and numbers up to two decimal places, with the answers coming together to form the punchline to the joke given at the start – great for retrieval practice !

Download the free Year 5: Decimals and Percentages Worksheets

Year 5 Maths Worksheets on decimals and percentages: Independent Recap 

While decimals were introduced in Year 4, percentages are new for Year 5. These simple to follow worksheets introduce what percentages are before moving on to writing percentages as fractions and decimals.

Download Year 5 decimals and percentages worksheets: Independent Recap

Year 5 Maths Worksheets on decimals and percentages: All kinds of word problems

This workbook has a range of activities to do with decimals and percentages including converting between the two and finding percentages of amounts. 

Download Year 5 Worksheets on decimals and percentages: All kinds of word problems

Year 5 Maths Worksheets on decimals and percentages: Let’s practise using the bar model

It is often important for children to understand when they will use the maths topics they are learning. This worksheet brings percentages and decimals into a real world context (shopping, for example) to help children to understand why, for example, knowing how to find a percentage of an amount is useful. 

Download Year 5 decimals and percentages worksheets: Let’s practise using the bar model

Year 5 Maths Worksheets on decimals and percentages: Worked Examples

This worksheet covers what percentage is, converting between decimals, percentages and fractions as well as understanding the value of decimals. There are a range of common errors that are made within this unit that have been addressed to encourage children to fully understand the topic. 

Download Year 5 decimals and percentages worksheets: Worked Examples

Year 5 Maths Worksheets for statistics: Code Crackers

In Year 5 statistics, the focus is on line graphs and more complex tables. This worksheet encourages children to read and interpret line graphs and tables in order to answer retrieval, comparison and sum calculations with the ultimate reward of finding the answer to a Halloween themed joke. 

Download Year 5 Statistics Worksheets: Code Crackers

Year 5 Maths Worksheets for statistics: Worked Examples

Although children will be familiar with line graphs and tables, they are still likely to make errors, especially when reading line graphs with more than one set of data. This worksheet addresses these common errors while allowing the children to ‘be the teacher’. 

Download Year  5 Statistics Worksheets: Worked Examples

Year 5 Maths Worksheets for converting units: Worked Examples

In previous years, children will have looked at converting units (for example centimetres to metres), however in Year 5, this is a unit of its own. This worked examples worksheet on converting units covers converting between metric units of measures, metric and imperial units of measures, converting between units of time and reading a timetable. 

Download Year 5 Measurement Worksheets: Worked Examples

Year 5 Maths Worksheets for converting units: Code Crackers

There are a lot of facts to remember when learning about converting units. This fun worksheet recaps the key facts of converting between metric units of measure (including converting between units of time). 

Download Year 5 Measurement Worksheets: Code Crackers

Year 5 Maths Worksheets for converting units: Independent Recap

These easy to follow independent recap worksheets cover a range of converting units content to help secure children’s understanding of the topic. The worksheets include converting between units of metric measures, converting between metric and imperial units, converting between units of time and reading timetables.

Download Year 5 Measurement Worksheets: Independent Recap

Year 5 Maths Test: All topics

As a child gets closer to Year 6 and the Key Stage 2 SATs, it’s important they get used to the timings and styles of questions they might face. Our Year 5 maths tests includes two assessments – one arithmetic paper and one reasoning paper – with SATS style questions created by our curriculum experts, answers and a mark scheme with detailed explanations of how to solve each question. 

Both papers should take about one hour to complete, and cover every part of the curriculum, from place value to geometry and 3d shapes. This makes them useful for checking children’s overall understanding of the maths they’ve learned in Year 5, as well as providing them with exam practice.  

Download free Year 5 Maths Test

Year 5 Maths Test: Times Tables

While Year 5 children are past the newly introduced multiplication tables check, knowing your times tables is a key part of many other maths topics they will learn. So it’s always worth keeping up with practice, and these quick worksheets help a child see exactly which ones they know by heart, and which they struggle with. 

Download the free Year 3 Times Tables Tests

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 4 Maths Curriculum Toolkit for 8 & 9 Year Olds
• Year 4 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

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

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

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.

Related articles

Revision Techniques: A Comprehensive Guide To Help Your Students Revise 

Free KS2 Maths Worksheets For Year 3 To Year 6: Downloadable And Following A Maths Mastery Approach

Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

The Maths Resources You Need Whatever Your Approach To Primary School Maths Lessons After Lockdown

FREE Fluent in Five Weeks 1 to 6 (Years 1 to 6)

Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

Downloaded by 38,840+ teachers.

Privacy Overview

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Problem Solving

Problem Solving and the New Curriculum   Age 5 to 11

Developing a Classroom Culture That Supports a Problem-solving Approach to Mathematics   Age 5 to 11

Developing Excellence in Problem Solving with Young Learners   Age 5 to 11

Using NRICH Tasks to Develop Key Problem-solving Skills   Age 5 to 11

Trial and Improvement at KS1   Age 5 to 7

Trial and Improvement at KS2   Age 7 to 11

Working Systematically - Primary Teachers   Age 5 to 11

Number Patterns   Age 5 to 11

Working Backwards at KS1   Age 5 to 7

Working Backwards at KS2   Age 7 to 11

Reasoning   Age 5 to 11

Visualising at KS1 - Primary Teachers   Age 5 to 7

Visualising at KS2 - Primary Teachers   Age 7 to 11

Conjecturing and Generalising at KS1 - Primary Teachers   Age 5 to 7

Conjecturing and Generalising at KS2 - Primary Teachers   Age 7 to 11

• Mathematical Problem Solving in the Early Years
• Low Threshold High Ceiling - an Introduction
• What's All the Talking About?
• Group-worthy Tasks and Their Potential to Support Children to Develop Independent Problem-solving Skills
• Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation

Popular searches in the last week:

Problem-solving maths investigations for year 5.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 5 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 5 .

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 5:

• Individually, they are incorporated into every unit in our Year 5 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 5 .

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.

This site uses cookies to give you the most relevant information. Learn more

Log in or sign up to get access to this resource

School subscription, reduce teacher workload.

From £155 (+ VAT) per year. Access to all key stages for multiple users.

Individual Subscription

For inspirational teaching.

Just £45 (£37.50 + VAT) per year to get access to all resources.

Early Career Teacher

Develop your teaching.

Just £33 (£27.50 + VAT) to get access to all resources for 2 years.

Taster Account

100s of resources.

Register to access all free resources.

Already subscribed?

Log in to get access.