problem solving in year 5

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5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

These worksheets present students with real world word problems that students can solve with grade 5 math concepts. 

We encourage students to think about the problems carefully by:

• providing a number of mixed word problem worksheets
• including irrelevant data  so students need to understand the context before applying a solution

The four operations

Mixed 4 operations

Estimating and rounding word problems

Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Dividing by unit fractions

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

Decimals word problems

Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

Word problems worksheets with variables

Variables and expressions

Variables and equations

Other grade 5 word problems worksheets

Volume of rectangular prisms

GCF / LCM word problems

Mixed grade 5 word problems  

Sample Grade 5 Word Problem Worksheet

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

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Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets. Perhaps you would prefer our statistics worksheets, or how to measure angles?

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.

Year 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

• know and use Place value up to 1 million
• Compare and order numbers up to 1 million
• Counting on and back in steps of powers of 10 from any number up to 1 million
• Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000
• add and subtract with more than 4 digits in columns
• add or subtract larger numbers mentally
• solve multi-step problems using addition and subtraction
• Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
• identify multiples and factors including common factors
• multiply up to 4-digit numbers by a 1-digit number
• multiply up to 3-digits numbers by 2-digits
• divide numbers up to 4-digits by a 1-digit number
• recognise and use squared and cubed numbers
• solve problems using multiplication and division
• know what a prime number is and recall prime numbers up to 20
• compare and order fractions whose denominators are multiples of the same number
• identify, name and write equivalent fractions
• convert between mixed numbers and improper fractions
• add and subtract fractions with the same denominator or whose denominators are multiples of the same number
• multiply proper fractions and mixed numbers by whole numbers
• read and write decimal numbers as fractions.
• Multiply and divide whole numbers and decimals by 10, 100 or 1000
• read, write, order and compare numbers up to 2dp
• round decimals with up to 2dp to the nearest whole
• solve problems with numbers up to 2dp
• understand and use the percent symbol
• convert percentages to fractions with a denominator of 100
• know fraction-percentage equivalence for halves, quarters, fifths and tenths
• solve problems using simple percentages
• measure, compare and calculate using different measures
• find the area and perimeter of a range of rectilinear shapes
• convert between different units of time
• convert between different units of metric measure
• convert between simple imperial and metric units
• solve more complex money and measure problems
• draw and measure angles in degrees
• know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
• identify 3D shapes from 2D representations
• Identify, describe and represent the position of a shape following a reflection or translation
• find the area and perimeter of composite rectilinear shapes
• know properties of regular and irregular shapes

Please note:

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

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

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

Year 5 is generally equivalent to 4th Grade in the US.

On this page you will find link to our range of math worksheets for Year 5.

Quicklinks to Year 5 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

• Fractions & Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

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

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

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

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

• Understand decimals;
• Use place value notation with tenths and hundredths;
• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
• Decimal Place Value Worksheets
• Year 5 Place Value up to 6 digits
• Comparing and Ordering Whole Numbers up to 6 Digits
• Ordering Decimals Worksheets
• Roman Numerals worksheets

Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

• learn to estimate and approximate;
• order numbers, including negative numbers and decimals;
• learn how to place decimal numbers on a number line;
• understand and use multiples and factors, and know what a prime number is;
• complete the missing number to balance a math equation.
• Factors and Multiples Worksheet
• Rounding Decimals to the nearest whole
• Rounding to the nearest tenth
• Balancing Math Equations

Year 5 Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 10;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting on and back by tens

Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

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

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

• Year 5 Mental Maths Worksheet

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Year 5 Addition Worksheets

• add multiple numbers in columns up to 5 digits;
• add numbers in columns, including money amounts with up to two decimal places.
• Decimal Addition Worksheets (mental)
• Free Addition Worksheets (randomly generated)
• Addition Worksheets with Multi-Addends
• Money Addition Worksheets (£ )
• Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

• learn to subtract numbers with up to 5 digits;
• learn to subtract numbers involving money with decimals with up to two decimal places.
• Free Subtraction Worksheets (randomly generated)
• 5 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )
• Subtracting Decimals Worksheets (mental)

Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.
• Times Table Worksheets Circles 1 to 12 tables
• Times Tables Worksheets (randomly generated)
• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (Graded)
• Single Digit Multiplication Worksheets Generator
• Multi-Digit Multiplication Generator
• Multiplication Word Problems

Year 5 Division Worksheets

Using these Year 5 maths worksheets will help your child learn to:

• apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
• divide any whole number by a single digit.
• Divding by Multiples of 10 and 100 Worksheets
• Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

• Division Worksheets (Grade 4) Word Problems
• Division Facts Worksheets (randomly generated)

Year 5 Math Problems

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

These sheets involve solving one or two more challenging longer problems.

• 4th Grade Math Problems

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

• 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

• Division Worksheets Grade 4 Word Problems

Fractions & Percentage Zone

Quicklinks to ...

• Year 5 Fractions Worksheets

Year 5 Percentage Worksheets

Year 5 fraction worksheets.

• position different fractions on a number line;
• understand equivalent fractions;
• understand what a mixed number is;
• compare two or more fractions;
• begin to convert fractions to decimals and decimals to fractions.
• Equivalent Fractions Worksheets
• Comparing Fractions Worksheet page
• Improper Fraction Worksheets
• Fractions of Numbers
• Convert Fractions to Decimal Sheets
• Convert Decimal to Fraction Sheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Fractions Decimals Percents Worksheets
• Percentage Word Problems

Year 5 Geometry Worksheets

Using these sheets will help you to:

• classify angles - acute, obtuse, right, reflex, straight;
• classify triangles - acute, obtuse, right;
• measure angles using a protractor;
• know that angles in a triangle add up to 180°
• know the properties of regular and irregular shapes
• plot and write coordinates in the first quadrant.
• 4th Grade Geometry Worksheets
• Symmetry Activities
• Coordinate Worksheets (1st Quadrant)

Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.
• 4th Grade Measurement Worksheets
• Converting Customary Units Worksheets
• Metric Conversion Worksheets

Area and Perimeter Worksheets

• understand area and perimeter;
• learn how to find the area and perimeter of rectangles and rectilinear shapes.
• Area Worksheets
• Perimeter Worksheets

Year 5 Time Worksheets (4th Grade)

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

• tell the time to the nearest minute;
• become familiar with both digital and analogue times;
• add and subtract time intervals.
• Telling Time Worksheets Grade 4 (1 minute intervals)
• 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

• Add and Subtract Time Worksheets
• Elapsed Time Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

• draw and read bar graphs with increasingly complex numbers;
• read, interpret and draw line graphs;
• Year 5 Bar Graph Worksheets (4th grade)
• Year 5 Line Graph Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

• Year 5 Math Games (4th Grade)

Year 5 Maths Puzzles

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

• Year 5 Maths Puzzles (4th Grade)

Math Salamanders Year 5 Maths Games Ebook

Our Year 5 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

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

• Year 5 Maths Games Ebook

Other UK Maths Worksheet pages

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

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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.

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• 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

Activity: Addition and subtraction

2. Try the rounding challenge

Rounding is an important skill your child will be expected to use to estimate and to check answers to calculations.

You could help your child to practise rounding with the calculations below. For each sum, you and your child could round the numbers to the nearest 10, 100, or 1000 in order to estimate the answer. Which one of you can get the estimate fastest? Then ask your child to work out the correct answer. Whose estimate was closest to the real answer? You can add an extra element of challenge by using a stopwatch or timer!

3567 + 2332 6102 + 2923 1345 + 3348 8799 – 4889 9833 – 5541

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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.

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Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)

Real life problem solving.

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Some of the questions are quite long, but they can be answered with a single step operation.

Using bar models to help understand what to do to solve multi-step problems.

Much trickier questions as they all need more than one step to reach the right answer.

Multi-step problems with shopping.

Tricky multi-step problems on thew theme of hobbies.

Multi-step problems: using cards.

Multi-step problems: using place value charts.

Buying snacks and drinks from a vending machine.

Straightforward addition of money which can be done mentally, maybe using jottings to help.

Work out the cost of the plants from the information given.

Addition of money to really stretch the brain!

Choosing sets of meals to save money with the meal deal.

Solving problems involving '3 for 2' voucher offer.

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Hours, minutes seconds are all found in these questions on time.

Find the number from the clues given.

Solve multi-step problems and check by carrying out inverse operations.

Find the largest and smallest numbers and the difference between them.

Not so much the correct answer needed; more choosing the method and an explanation of how to solve the problem.

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Problem solving involving fractions, decimals and tests of divisibility.

Finding facts about decimal fractions, including bar modelling.

Finding facts about decimal fractions, including using bar modelling to help.

Order decimals.

Find half way between two decimals.

Word problems with decimals.

Ordering fractions.

Some tests of divisibility are easy, such as divisible by 2, 5 or 10. Others, such as divisible by 6 or 8 are much harder.

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Place the digits in the rows and columns to make the total shown in the middle.

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Binary trees are often used in science, but here we use them to sort numbers.

A look at some of the maths concepts involved with investigations in year 5.

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Year 5 mixed operation word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

12 May 2020

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A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two

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Gemini 1.5: Our next-generation model, now available for Private Preview in Google AI Studio

Last week, we released Gemini 1.0 Ultra in Gemini Advanced. You can try it out now by signing up for a Gemini Advanced subscription . The 1.0 Ultra model, accessible via the Gemini API, has seen a lot of interest and continues to roll out to select developers and partners in Google AI Studio .

Today, we’re also excited to introduce our next-generation Gemini 1.5 model , which uses a new Mixture-of-Experts (MoE) approach to improve efficiency. It routes your request to a group of smaller "expert” neural networks so responses are faster and higher quality.

Developers can sign up for our Private Preview of Gemini 1.5 Pro , our mid-sized multimodal model optimized for scaling across a wide-range of tasks. The model features a new, experimental 1 million token context window, and will be available to try out in  Google AI Studio . Google AI Studio is the fastest way to build with Gemini models and enables developers to easily integrate the Gemini API in their applications. It’s available in 38 languages across 180+ countries and territories .

1,000,000 tokens: Unlocking new use cases for developers

Before today, the largest context window in the world for a publicly available large language model was 200,000 tokens. We’ve been able to significantly increase this — running up to 1 million tokens consistently, achieving the longest context window of any large-scale foundation model. Gemini 1.5 Pro will come with a 128,000 token context window by default, but today’s Private Preview will have access to the experimental 1 million token context window.

We’re excited about the new possibilities that larger context windows enable. You can directly upload large PDFs, code repositories, or even lengthy videos as prompts in Google AI Studio. Gemini 1.5 Pro will then reason across modalities and output text.

1) Upload multiple files and ask questions We’ve added the ability for developers to upload multiple files, like PDFs, and ask questions in Google AI Studio. The larger context window allows the model to take in more information — making the output more consistent, relevant and useful. With this 1 million token context window, we’ve been able to load in over 700,000 words of text in one go.

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2) Query an entire code repository

The large context window also enables a deep analysis of an entire codebase, helping Gemini models grasp complex relationships, patterns, and understanding of code. A developer could upload a new codebase directly from their computer or via Google Drive, and use the model to onboard quickly and gain an understanding of the code.

3) Add a full length video

Gemini 1.5 Pro can also reason across up to 1 hour of video. When you attach a video, Google AI Studio breaks it down into thousands of frames (without audio), and then you can perform highly sophisticated reasoning and problem-solving tasks since the Gemini models are multimodal.

More ways for developers to build with Gemini models

In addition to bringing you the latest model innovations, we’re also making it easier for you to build with Gemini:

• Easy tuning. Provide a set of examples, and you can customize Gemini for your specific needs in minutes from inside Google AI Studio. This feature rolls out in the next few days. 
• New developer surfaces . Integrate the Gemini API to build new AI-powered features today with new Firebase Extensions , across your development workspace in Project IDX , or with our newly released Google AI Dart SDK . 
• Lower pricing for Gemini 1.0 Pro . We’re also updating the 1.0 Pro model, which offers a good balance of cost and performance for many AI tasks. Today’s stable version is priced 50% less for text inputs and 25% less for outputs than previously announced. The upcoming pay-as-you-go plans for AI Studio are coming soon.

Since December, developers of all sizes have been building with Gemini models, and we’re excited to turn cutting edge research into early developer products in Google AI Studio . Expect some latency in this preview version due to the experimental nature of the large context window feature, but we’re excited to start a phased rollout as we continue to fine-tune the model and get your feedback. We hope you enjoy experimenting with it early on, like we have.

Introducing new AI tools on Google for Developers

Gemini 1.5 Pro Now Available in 180+ Countries; with Native Audio Understanding, System Instructions, JSON Mode and more

Achieving privacy compliance with your CI/CD: A guide for compliance teams

Get ready for Google I/O: Program lineup revealed

Gemma Family Expands with Models Tailored for Developers and Researchers

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As Kentucky Derby Nears, Last Year’s Deaths Cast Long Shadow

The breakdown of 12 horses in the days surrounding the celebrated race a year ago has led to existential questions about the sport and its future.

Last year at Churchill Downs, seven horses died during the week of the Kentucky Derby, two of them in races in the hours leading up to the main event. Credit... Jon Cherry for The New York Times

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By Joe Drape and Melissa Hoppert

Joe Drape reported from Louisville, Ky., and Lexington, Ky., and Melissa Hoppert from New York.

• May 2, 2024

The Kentucky Derby has been run through two World Wars, the Great Depression, civil rights unrest and, most recently, a life-paralyzing pandemic. Now, on the 150th anniversary of America’s most famous race, the Sport of Kings faces another formidable foe: itself.

Last year, beneath Churchill Downs’s iconic twin spires, seven horses died during the week of the showpiece event — two of them in races in the hours leading up to the Derby. In the days after, five more sustained fatal injuries, prompting Churchill officials to move their races to another Kentucky racetrack.

It got worse. A colt trained by the sport’s most recognized and controversial trainer, Bob Baffert, died at Pimlico Race Course hours before Mr. Baffert saddled the winner of the Preakness Stakes, the second leg of the Triple Crown. Two more horses not trained by Mr. Baffert died in races surrounding the Belmont Stakes, the third leg, in June.

At the historic Saratoga Race Course in New York, 13 horses died while racing and training at the sport’s signature summer meet, including two who seemed poised to win their races before breaking down near the finish line on nationally televised broadcasts.

Over the past 12 months, The New York Times analyzed confidential documents and covert recordings made by law enforcement, and obtained exclusive interviews as part of an investigation into why so many horses, supposedly in peak physical condition, were breaking down so frequently. In the documentary “ The New York Times Presents: Broken Horses ,” now streaming on Hulu, The Times found that reckless breeding and doping practices, compromised veterinarians and trainers, and decades-long resistance to changes that could save horses lives have placed a multibillion-dollar ecosystem in peril and put the social acceptability of one of America’s oldest sports at risk.

“There’s a genuine feeling that this is the inflection point, and if we don’t act, it may be too late,” said Lisa Lazarus, the chief executive of the Horseracing Integrity and Safety Authority, or HISA, the federal agency that now regulates the sport.

In Louisville, Ky., on Saturday, racing officials and horse lovers will hold their collective breath and hope that every horse competing gets around the track safely. To avoid last year’s calamity, an army of veterinarians will pore over months of medical records with an assist from artificial intelligence and scrutinize horses each morning with the critical eye of a diamond jeweler. Data from high-tech motion sensors will monitor horses, and an old-fashioned “bucket brigade” as well as state-of-the-art equipment will be dispatched frequently to pick rocks from the racetrack that authorities determined could have played a part in last year’s cluster of deaths.

Saffie Joseph Jr., who was suspended by Churchill last year after two horses he trained collapsed and died ahead of the Derby, will have a horse in the race. He was reinstated when the necropsies of those horses were inconclusive.

“They were trying times,” Mr. Joseph said. “We let the process play out. We were cleared as we knew we would be.”

HISA investigated the deaths at Churchill and Saratoga and concluded that several factors, including frequency of high-intensity exercise, likely contributed. No illegal drugs were detected in the horses who died. The majority of the injuries involved a fetlock joint. Some of the horses who died received corticosteroid injections in their joints within 30 days of racing. That is currently allowed, although HISA has proposed prohibiting those injections within 30 days.

But racing’s problems go far beyond what happened last year. An F.B.I. investigation that began in 2015 produced nearly three years of wiretaps that provided a soundtrack for a deadly doping ring that stretched from Florida to New Jersey. At its center was a veterinarian and drug compounder named Dr. Seth Fishman, who bragged on wiretaps about “having a relationship with top trainers and top owners” in the horse racing world. He knew what he was doing and, in at least one case, wanted to make sure his clients understood that they were breaking the rules.

“What I’m trying to say is anytime you give something to a horse, that’s doping. So don’t kid yourself,” Dr. Fishman said to one, as heard in a wiretap.

The investigation exposed the weaknesses in American testing labs. After being tipped by an informant that some horses had recently been doped, an F.B.I. agent posing as a New Jersey racing official pulled samples from a group of horses and sent them to a Hong Kong laboratory considered one of the finest in the world. Evidence of illegal blood doping was detected.

The doping was often deadly. U.S. attorneys in the Southern District of New York said their three-year investigation had produced evidence that at least 20 horses perished because they were given illegal drugs by those involved in the ring.

“Nobody believed that anybody was going to jail for this behavior,” said Shaun Richards, the F.B.I. agent in charge of the investigation. But more than 30 trainers, veterinarians and drug salespeople either pleaded or were found guilty and went to jail.

One of those now in prison is the trainer Jason Servis , who in 2019 appeared to have won the Derby, but his horse, Maximum Security, was disqualified shortly after the race when officials determined that he interfered with other horses.

For the third straight year, the Derby will be run without a horse trained by Mr. Baffert. In 2021, his colt Medina Spirit won the Derby but subsequently was disqualified after testing positive for betamethasone, a potent corticosteroid used to reduce pain and inflammation. Churchill Downs barred him from its racetracks for two years and, over the summer, extended the suspension through 2024.

Mr. Baffert’s horses have won the Derby six times, and he has been named champion trainer four times. He is third on the career earnings list with more than $355 million in purses. Mr. Baffert also has a lengthy record of rule violations. According to regulators’ records, horses trained by him have failed 30 drug tests over four decades — most notably Medina Spirit, who died after a workout at a California racetrack five months after running the Derby. Since 2000, at least 77 horses have died under his care, according to data from the California Horse Racing Board.

“We decided to continue Bob Baffert’s suspension for another year because he hasn’t accepted responsibility for what happened,” Bill Carstanjen, chief executive of Churchill Downs Inc., said of the positive test in the Derby. “It’s about the game and the product as a whole, and it’s about ensuring to the public that they can rely on what they see being fair and safe. The rules have to apply to everybody.”

Mr. Baffert returned to the Triple Crown trail last year to win the Preakness Stakes with National Treasure in Baltimore. Hours before, however, another one of his colts, Havnameltdown, sustained a fatal injury during a race and was euthanized on the track.

The Times had two veterinarians, Dr. Sheila Lyons and Dr. Kate Papp, independently review the records related to the 2023 deaths at Churchill Downs and Pimlico. Dr. Lyons said the necropsies from Churchill were illuminating but incomplete because they lacked medication and treatment histories of each horse.

“What I found was that these horses had significant pre-existing injury, not only on the limb that broke down, but in other limbs as well,” Dr. Lyons said. “We don’t even know whether these horses were running with legal therapeutic medications.”

In the case of Havnameltdown, Dr. Lyons and Dr. Papp agreed that his death could have been prevented with vigilant veterinarian care by both his private veterinarian as well as regulatory ones in charge of ensuring a horse is sound before being allowed to race. Havnameltdown had lesions in each fetlock, which occur when the cartilage has worn away from repetitive injury.

“He didn’t only have it in the leg where this fracture occurred, this horse had it in all four limbs,” Dr. Lyons said. “This is easily diagnosed, X-ray equipment in every track practicing vet’s vehicle, it would take 10 minutes.”

Dr. Lyons said regulatory veterinarians noted abnormal findings in the colt’s range of motion and gait but ultimately concluded the horse was healthy enough to race. In addition, Havnameltdown had corticosteroids and hyaluronic acid — a pain reliever and an anti-inflammatory — injected in both hocks and both stifles a month before his last race. Joint injections are permitted by HISA up to 14 days before a race.

“Havnameltdown should not have been racing that day. Absolutely not, under any circumstances,” Dr. Papp said, based on her review of the necropsy results. “Baffert is the main caretaker for this horse. In my opinion, he is the responsible party for what happened.”

In an emailed statement, Mr. Baffert’s lawyer, Clark Brewster, said: “He entrusts the medical evaluation, diagnosis and treatment of the horses to his veterinarians and relies on their expertise. Baffert cares deeply for the horses under his care and is fully committed to their health, safety and general welfare.”

In August 2023, Mr. Baffert’s longtime veterinarian, Dr. Vince Baker, was placed on four years’ probation by the California Veterinary Medical Board for administering “dangerous drugs” to racehorses — including Medina Spirit — “at the request of their trainers without medical examinations or necessity.”

This will be the first Derby to fall under HISA’s antidoping and medication control program, which went into effect on May 22 — two days after Havnameltdown died. HISA has been tasked with enforcing uniform safety and medication rules in thoroughbred racing in the United States but has faced an uphill battle since it was established by Congress in 2020, taking over from state regulators.

Yet more than 50,000 samples were collected from 21,750 horses in 2023, resulting in 246 positive tests and the identification of 58 banned substances. The authority searched 141 barns across 38 tracks and recovered five different banned substances, resulting in 11 possession cases. An anonymous tip line received 122 calls, with more than 40 leading to an investigation.

“Are we ahead of the curve now? Probably not,” Ms. Lazarus said of being able to detect performance-enhancing drugs. “But we have a good chance at getting there.”

The National Thoroughbred Racing Association has acknowledged that horse racing has an image problem and recently started a multimillion-dollar advertising campaign called Safety Runs First that will be shown throughout the Triple Crown.

One change that HISA celebrated was its use of six drug-testing laboratories to deliver uniformity and faster turnaround times. The University of Kentucky’s Equine Analytical Chemistry Laboratory, however, was recently removed because of alleged personnel and quality issues. The university and HISA would not comment while investigations are underway.

The rate of fatal injury increased slightly in 2023, to 1.32 per 1,000 starts, from 1.25 in 2022, which was the lowest rate since 2009, when the Jockey Club started the database. HISA said that racetracks under its jurisdiction had 1.23 fatalities per 1,000 starts. (Texas, Louisiana, West Virginia and Nebraska have pushed back against HISA regulation and are not covered.) Neither data set includes training fatalities.

Ms. Lazarus said that by 2025, the authority hoped to have a public database that logged racing and training fatalities as they happened, like the ones kept by California and New York. She also said HISA was working to standardize necropsy procedures.

She acknowledges there are limits to HISA’s authority, which covers horses that have recorded a timed workout at the racetrack. Breeding and sales remain largely unregulated, and practices like repeated breeding of unsound horses, corrective surgeries and drug use are believed to be widespread. The three major thoroughbred sales companies recently announced that starting July 1 they will strengthen their drug policy to more closely align with HISA’s. Yet the enforcement of such a policy would be up to the companies, and no details have been provided.

Arthur Hancock III, who along with his wife, Staci, has campaigned for reform since the 1990s, says the authority must succeed. In 2013, the couple formed the Water Hay Oats Alliance to get drugs out of racing, growing it to more than 1,800 industry members who shamed horsemen, veterinarians, politicians and regulators into treating thoroughbreds as athletes rather than commodities.

“There is a new sheriff in town, and he means business,” Mr. Hancock, a fourth-generation breeder, said of HISA. “If we don’t get rid of the drugs and thugs, they’re going to get rid of us.”

Joe Drape is a Times reporter writing about how the intersection of money, power and sports impacts our culture. More about Joe Drape

Melissa Hoppert , a deputy editor for live coverage, joined The Times in 2006. She helped create the horse racing blog The Rail and has directed coverage of the N.F.L. and college sports. More about Melissa Hoppert

Inside the World of Sports

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A Reputation Problem: Having a team in the Premier League, the world’s richest sports competition, might alter how people think of Luton , an English town long dogged by a ramshackle image and links to extremism.

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