fun maths problem solving year 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?

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

Year 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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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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Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 5 Maths Worksheets

Our Year 5 Maths Worksheets are an excellent resource for students (aged 9-10) to practice and strengthen their maths skills. With clear instructions and plenty of examples, these worksheets are suitable for independent learning at home or in the classroom. They help pupils develop their problem-solving abilities while also reinforcing previously learnt concepts. All Year 5 Cazoom Maths PDF worksheets provide a wide range of questions and activities that cover all the critical topics from numbers, algebra, geometry, measurement and statistics. These worksheets are designed to challenge and assess pupils’ understanding and strengthen knowledge of decimals, fractions, rounding numbers, prime numbers, angles, reading from timetables and more.

MATHS WORKSHEETS FOR YEAR 5 STUDENTS

Try some free sample year 5 maths worksheets

Outstanding Year 5 Maths Worksheets

• Separate answers are included to make marking easy and quick.
• Over 100 pages of the highest quality year 5 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Single user licence for parents or teachers. Separate school licences are also available.
• Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

FUN and ENgaging Maths Worksheets

Our maths worksheets are thoughtfully designed to make mathematical problems great fun for your year 5 students. 

This range of year 5 maths worksheets PDF are designed with colour and with the space for children to show their working. Our resources are perfect practice material for helping your child learn maths, enhance their reasoning skills, and for pupils to develop their mathematical knowledge.

Some of our most popular resources include those on multiplication word problems, measuring angles, ordering fractions, and even roman numerals!

With over 200 pages of mathematical problems for your students to work through, Cazoom Maths worksheets are the perfect way for your year 5 students to develop their mathematical skills . 

ALL YEAR 5 TOPICS COVERED

Cazoom Maths pdf year 5 maths worksheets cover all topics in the curriculum at this formative stage for young learners.

We have worksheets covering addition and subtraction, place value, missing numbers, and resources requiring students to identify the correct number.  The range also includes lots of different exercises of topics like equivalent fractions, formal written methods, number and place value, negative numbers, and much more.

Our resources include real life problems such as how to interpret different until, and use metric measures. Covering such a comprehensive range of maths topics, Cazoom has everything needed to help children practice their year 5 maths skills. 

List of Topics

See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

• Adding to a Single Digit
• Adding to a Two Digit Number
• Adding to a Three Digit Number
• Adding Three Numbers
• Number Bonds up to 20
• Number Bonds over 20

SUBTRACTION

• Single Digit Subtraction
• Two Digit Subtraction
• Three Digit Subtraction
• Working with the Difference
• Multiplication and Division worksheets
• Number and Place Value Worksheets
• Fractions, Decimals and Percentages

MEASUREMENT

• Metric Measures
• Area and Perimeter
• Properties of Shapes
• Position and Direction
• Transformations

ALGEBRA & STATISTICS

Maths Learning Resources

Free for parents and fun for children! Discover a library of primary school maths worksheets, games, tips for parents, and more! Perfect for learning remotely, preparing for the 11 Plus exam, and making progress in maths.

• Key Stage 2

Year 5 Maths Worksheets, Games and Learning Resources to Help Study at Home

Year 5 maths worksheets and learning resources are key to helping your child as they begin consolidating all that they’ve learnt in Year 3 and 4. This is a big step for your child. For many children, starting Year 5 is when they will begin preparing for the 11+ exam.

There’s also a stronger focus on preparing for the Year 6 SATs. Above all, they’re starting to learn independently in preparation for the transition to secondary school.

So as a parent, how can you help? Below is a guide for parents with all the resources you need to ensure you can support your child outside of the classroom. This article is part of Think Academy UK’s Covid catch-up series, designed for parents to help their child catch-up and progress in maths with tons of tips and resources after months of lost learning.

Page Contents

Year 5 maths: What will my child learn about?

Year 5 maths will involve a review of some of the topics covered in Year 4 maths class. However, your child will also be introduced to new topics.

These will include practising their mental arithmetic skills in preparation for the KS2 SATs, and written calculation methods. The written calculation method is more commonly known as ‘showing the method of working-out’ – important in gaining extra marks in exams!  Your child will also practise solving problems using the operations.

Additionally, your child will be focusing on how to calculate perimeters and areas, whilst also drawing and measuring angles. They will also be learning how to convert between units of time and learn some imperial measures.

Long multiplication and short division will also be a part of the curriculum, as they start to learn how to multiply fractions and learn more about decimals. This will be a core learning in Year 5 maths class. This can all be easily practised at home, with worksheets, activities, and a bit of encouragement!

A closer look at the Year 5 maths curriculum

You’ll have gathered by now that in Year 5 maths there’s a lot to cover! To make your job even more difficult, the way your child is learning to problem-solve will be different from the methods you were taught in school. So, is it possible to help them? Thanks to Think Academy – yes, it is!

Number and place value

In Year 5 your child will be expected to read, write, order, and compare numbers up to 1,000,000. They will also need to recognise the place value of each digit.

Addition and subtraction

Year 5 maths covers how to solve addition and subtraction problems with up to four digits.

Multiplication and division

Year 5 maths is when your child is first introduced to long multiplication and short division. They will also be expected to know how to divide four-digit numbers by one-digit numbers and interpreting remainders.

Fractions, decimals, and percentages

Year 5 Maths is especially important for fractions as your child will be expected to find fractions of numbers and quantities.

Solving problems about shapes is key in Year 5, your child will be expected to use their knowledge of geometric properties to help them.

Measurement

Learning how to convert between metric units of measurements and solving problems involving decimal measurement, money and time will be the main subject in this topic.

By the end of Year 5, your child will be expected to successfully interpret and present data in a range of ways.

Are games helpful for Year 5 maths pupils?

Games can be helpful for Year 5 pupils as they help to engage the learner. It helps simplify various topics for the pupil, which ultimately helps to test maths ability.

Top free games for Year 5 maths

Maths Frame

Use interactive games that your child can easily understand. This can be useful as an alternative way of explaining something if your child cannot fully understand the teacher.

We have repeated this a couple of times, however, it is a teacher’s favourite and of course ours. It has all levels, with really fun games to play!

This website is simple and user-friendly. Minimal supervision required (although we always believe in closely monitoring your child’s internet use. It has both English and maths subjects to choose from and a range of levels.

Primary Games Arena

This website includes various options and game types. What is great about this one is that it will gives you reviews from previous users, so you can better find the perfect game for your child!

Timestables

This is an excellent way for students to learn their multiplication in an easy and accessible way. There are various games included all of which are interactive.

Are Year 5 maths worksheets helpful?

Year 5 may not have SATS or tests, however, supporting them during this time can help you prepare them for next year’s SATS. They will already be expected to draw on what they have previously learned during their time in primary school.

Giving them the time to prepare earlier allows them to become confident enough with the various topics they will be given. These worksheets will help them to see how maths fits into everyday life.

Of course, similarly to games, this can be hard and overwhelming to find hence why Think Academy has made an easy access way of finding them.

Top Free Year 5 maths printable worksheets

This is recommended by schools themselves, with teachers using them in their lessons. There are various worksheets for the topics that are required.

This website has a variety of worksheets created by teachers, they not only have various class groups but also various levels. They have put in mind for children who are struggling to keep up.

MathsSphere

This website has a variety of Maths topics to choose from for all levels. This also includes ‘booster’ worksheets to give that extra help.

Additional resources:

There are plenty of resources around the web to aid your child with Year 5 maths including here at Think Academy.

Perfect for Covid catch-up, KS1 & KS2 SATs or 11 Plus exam preparation,  Think Academy  is offering affordable  online maths tuition for children at £6.00 per class (Year 1 & 2) and £8.00 per class (Years 3 – 6). New classes are available for January 2021. Easy-to-use, minimal supervision required. Free 1-hour taster sessions are also available.

30 Fun Maths Games to Help Kids Learn Maths for Free!

Top 50 Home Learning Resources for UK Primary School Maths

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Geometry in Year 5 (age 9–10)

In Year 5, children will be expected to be able to solve problems about shapes by reasoning using their knowledge of geometric properties. This includes:

• drawing and measuring angles in degrees
• finding missing angles at a point, on a line and in rectangles
• describing translations and reflections of shapes on a four-quadrant coordinate grid.

Measurement in Year 5 (age 9–10)

In Year 5, children will be expected to be able to convert between metric units of measurement and solve problems involving decimal measurements, money and time. This includes:

• calculating the perimeter and area of shapes (including those made up of squares and rectangles)
• estimating volumes of 3D shapes and capacities of containers
• learning some imperial units, such as inches, pounds and pints.

Statistics in Year 5 (age 9–10)

In Year 5, children will interpret and present data in a range of ways. This includes:

• solving problems by comparing, adding, and subtracting using data presented in line graphs
• representing data in time graphs by using the scales on the axes to plot points
• completing, reading, and interpreting information in tables, including timetables.
• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

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

Real life problem solving.

A collection of problem solving activities based on real life situations.

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.

Solving money problems with 3 for 2 offers and percentages.

More percentage problems.

Money, money, money! Lots of money questions which will need a lot of working out!

Tricky word problems needing more than one step to solve.

Questions all on the theme of measurement, including length, capacity and weight.

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.

Fractions, decimals and divisibility

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.

Challenges and investigations

Further challenges, investigations and games requiring sound mathematical thinking and working in a systematic way.

More on odd and even numbers, plus a little bit on multiples.

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

Some great ideas for children to use as starting points to investigate further.

Find examples to back up general statements about numbers, shape etc.

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 maths questions

This comprehensive review of maths questions for year 5 is just the boost your child needs to succeed in maths this year.

Author Amber Watkins

Published February 2024

Key takeaways

• In year 5 maths, it is important to master multi-digit multiplication, fractions, and decimals.
• A variety of maths questions for year 5 students  can be solved using a number line.
• To supplement your child’s year 5 maths skills, consider using our maths app .

Table of contents

Multiplication

26 maths word problems for year 5​.

Year 5 maths has a strong focus on multiplication , division , and fractions . As we cover a variety of year 5 maths questions together, pay attention to the methods we use, including breaking down fractions and using number lines to solve real-world word problems. 

Answer: Sam bought 144 bottles of water. There are 12 bottles in a dozen. 12 x 12 = 144.

Answer: Mr. Rodger bought 1,600 juice boxes. 100 x 16 = 1,600.

Answer: They bought 80 total binders. 6 x 5 = 30. 10 x 5 =50. 50 + 30 = 80.

Answer: Crystal has saved a total of 350 pence. 35 x 10 =350.

Answer: Jason will have 720 new Pokemon cards after two years. There are 12 months in every year, so in two years there are 24 months (12 x 2 = 24). 24 x 30 =720.

Answer: Jack should plant 14 seeds in each row. 98 / 7 = 14.

Answer: Kim should fill Polly’s dog bowl 8 times a day.  480 / 60 = 8

Answer: The sunflower has been growing for 10 weeks. There are 100 centimetres in a metre, so there are 200 centimetres in two metres (100 x 2 =200). 200 centimetres divided by 20 is equal to 10.

Answer: Cait will have to walk her dog 50 times to save £500. 500 / 10 = 50

Answer: Jason will have 720 new baseball cards after two years. There are 12 months in every year, so in two years there are 24 months (12 x 2 = 24). 24 x 30 =720.

Answer: Yes, they ran the same distance.

Answer: Yes they completed the same portion of their homework.

Answer: 900

Answer: 6,000

Answer: 360

Answer: 500

Answer: 2,000

Answer: Jake’s grass will grow .7 millimetres in one week. .1 x 7 = .7

Answer: Jason has a total of 60 pence (.60). 0 .05 x 12 is .60.

Answer: Reese spent a total of £19.50 at the movie theater. 

£4.50 x 3 = £13.50. £3.00 x 2 = £6.00. £13.50 + £6.00 = £19.50 

Answer: Steve has £6.50 left over in his budget. £11.00 + £12.50 + £20.00 = £43.50. £50.00 – £43.50 = £6.50

Answer: Yes, he will have enough money for a £200 deposit. £52.12, £69.40, £42.80, and £35.75 added together equal £200.07.

Our maths help app provides maths help for year 5 students in a way that keeps children engaged, rewards their effort, and scaffolds their learning. Plus, the app gives parents access to a dashboard that shows their child’s progress on maths topics they struggle with. Take learning into your own hands, and check out our maths app today!

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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18 Word Problems For Year 5: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 5 are a great way to assess pupils’ number fluency. By the time primary school children reach Upper Key Stage 2, they will be building on their knowledge and understanding of the number system and place value, working with larger integers. An increased understanding of the connections between the different maths concepts is crucial, as children will be expected to tackle more complex, multi-step problems.

It is important children are regularly provided with the opportunity to solve a range of word problems and Year 5 maths worksheets with reasoning and problem solving incorporated alongside fluency, into all lessons.

To help you with this, we have put together a collection of 18 word problems aimed at Year 5 maths pupils.

Place value 

Addition and subtraction , multiplication and division , fractions, decimals and percentages, measurement , why are word problems important in year 5 maths, how to teach problem solving in year 5, addition word problems for year 5, subtraction word problems for year 5,  multiplication word problems for year 5, division word problems for year 5, fraction and decimal word problems in year 5, mixed four operation word problems, word problem resources.

All Kinds of Word Problems

Download this free pack of multiplication word problems to help your Year 5 class grow their problem solving skills

Year 5 maths word problems in the national curriculum

The National Curriculum states that by Year 5, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. Children also begin to use the language of algebra for solving a range of problems.

By Year 5, pupils should be starting to gain confidence in solving more complex two-step and multi-step word problems, covering topics across the Year 5 curriculum.

Solve number and practical problems involving ordering and comparing numbers to at least 1,00,000; counting forwards or backwards in steps of powers of 10; interpreting negative numbers in context and rounding to the nearest 10,100, 1000, 10,000 and 100,000.

Solve addition and subtraction word problems and a combination of these, including understanding the meaning of the equals sign.

Solve problems involving multiplication and division, including using knowledge of factors, multiples, squares and cubes and scaling by simple fractions.

Solve problems involving numbers up to 3 decimal places and problems which require knowing percentage and decimal equivalents.

Solve time word problems and those involving converting between units of time and problems involving measure (for example, length, mass, volume and money word problems ) using decimal notation and scaling.

Solve comparison, sum and difference problems, using information presented in a line graph.

Word problems are an important element of the Year 5 curriculum. By this stage, children need to be building confidence in approaching a range of one, two and multi-step word problems . They require children to be creative and apply the skills they have learnt to a range of real-life situations. 

Children need to be taught the skills for successfully approaching and tackling word problems. Reading the question carefully and identifying the key information needed to tackle the problem, is the first step, followed by identifying which calculations are required for solving it and deciding whether it will be helpful to draw a picture/ visual representation to understand and answer the question. 

Using mental maths skills to round and estimate an answer is also very helpful for children to establish whether their final answer is realistic. Children need to also be able to calculate the inverse, to be able to check their answer, once the problem has been completed.

See also: Mental maths year 5

Here is an example:

A transport museum has 1243 visitors on Monday morning and another 1387 visitors in the afternoon. On Tuesday 736 fewer visitors go to the museum than who visited on Monday.

How many visitors were there altogether on Tuesday?

How to solve:

What do you already know?

• The number of visitors on Monday morning and Monday afternoon are given separately. They need to be added together to give the total number of visitors for Monday.
• ‘Fewer’ means I will need to subtract the number of fewer visitors on Tuesday from the total number of visitors on Monday.
• Column addition and subtraction will be needed to solve this question.

How can this be drawn/represented pictorially?

We can draw a bar model to represent this problem:

• To calculate the total number of visitors on Monday, we need to add 1243 and 1387 together. 1243 + 1387 = 2630
• The number of fewer visitors on Tuesday needs to be subtracted from Monday’s total: 2630 – 736 = 1894.
• The total number of visitors on Tuesday was 1894.

In Year 5, addition word problems can involve whole numbers with over 4 digits and decimal numbers. Children should be able to round number to check the accuracy and begin to solve two step number problems 

Addition question 1

Gemma picks two cards from the cards below and adds them together.  She is able to make three different totals. What will they be?

2365     6281      9782

Answer (2 marks) : 12,147   16,063  8646

Addition question 2

Ahmed adds two of these numbers mentally.

357         280          294          232

In his calculation, he exchanges twice to create one ten and one hundred. Write Ahmed’s calculation and work out the total.

Answer (1 mark) : 357 + 294 = 651

Addition question 3

Change one digit in the calculation below, so that the answer is a multiple of 10.

Answer (1 mark) : 723 + 347 = 1070

Subtraction word problems in Year 5 require pupils to be confident subtracting numbers over 4 digits and problems involving decimal numbers. Pupils need to be able to round numbers to check accuracy and to use subtraction when solving mixed word problems. 

Subtraction question 1

A coach is travelling 4924 km across the USA It has 2476 km to go. How many kilometres has the coach already travelled?

Answer (1 mark) : 2448 km

Subtraction question 2

A primary school printed 7283 maths worksheets in the Summer term. 2156 were for Key Stage 1 pupils. How many were printed for Key Stage 2?

Answer (1 mark): 5127 worksheets

Subtraction question 3

 A clothing company made £57,605 profit in 2021 and £73,403 in 2022.  How much more profit did the company make in 2022 than in 2021?

Answer (1 mark): £15,798

In year 5, multiplication word problems include problems involving times tables and multiplying whole numbers up to 4-digits by 1 or 2-digit numbers. Pupils also need to be able to combine multiplication with other operations, in order to solve two-step word problems. 

Multiplication question 1

In this diagram, the numbers in the circles are multiplied together to make the answer in the square between them.

Complete the missing numbers.

Answer (1 mark)

Multiplication question 2

Mrs Jones was printing the end of year maths test. Each test had 18 pages and 89 pupils were sitting the test. Mrs Jones also needed to print out 12 copies for the teachers and Teaching Assistants who were helping to run the test. 

How many pieces of paper did Mrs Jones need to put in the photocopier, to make sure she had enough for all the tests?

Multiplication question 3

A school is booking a trip to Alton Towers. Tickets cost £22 per pupil. There are 120 children in each year group and all the children from 3 year groups will be going.

What will be the total price for all the tickets?

Answer (2 marks): £7920

Third Space Learning often ties word problems into our online one-to-one tutoring. Each lesson is personalised to the needs of the individual student, growing maths knowledge and problem solving skills.

In Year 5, division word problems can involve whole numbers up to 4 digits being divided by 1-digit numbers. Pupils need to understand how to answer word problems, when the answer involves a remainder.

Division question 1

Tom has 96 cubes and makes 12 equal towers. Masie has 63 cubes and makes 9 equal towers. Whose towers are tallest and by how many cubes?

Answer (2 marks): Tom

Tom’s tower has more cubes. His towers have 1 more cube than Maise’s towers.

96 ÷ 12 = 8

Division question 2

A cake factory has made cakes to deliver to a large event. 265 cakes have been baked. How many boxes of 8 cakes can be delivered to the event?

Answer (2 marks) : 33 boxes

Division question 3

Lily collected 1256 stickers. She shared them between her 8 friends. How many stickers did each friend get

Answer (1 mark): 157 stickers

In Year 5, fractions word problems and decimals can include questions involving ordering, addition and subtraction of fractions. They can also involve converting between fractions and decimals. 

Fraction and decimal question 1

Isobel collected 24 conkers. She gave \frac{1}{8} of the conkers to her brother. How many conkers did she have left?

Answer (1 mark): 21 conkers left

\frac{1}{8} of 24 = 3

24 – 4 = 21

Fraction and decimal question 2

Ahmed counted out 32 sweets. He gave \frac{1}{4} of the sweets to his brother and \frac{3}{8} of the sweets to his friend. How many sweets did he have left?

Answer (2 marks): 12 sweets

\frac{1}{4} of 32 = 8

\frac{3}{8} of 32 = 12

He gave away 20 sweets, so had 12 left for himself.

Fraction and decimal question 3

Two friends shared some pizzas, 1 ate 1 \frac{1}{2} pizzas, whilst the other ate \frac{5}{8} of a pizza. How much did they eat altogether?

Answer (1 mark): 2 \frac{1}{8} of pizza

1 \frac{1}{2} = \frac{12}{8}

\frac {12}{8} + \frac{5}{8} = \frac{17}{8} = 2 \frac{1}{8} pizzas

Problems with mixed operations, or ‘multi-step’ word problems, require two or more operations to solve them. A range of concepts can be covered within mixed problems, including the four operations, fractions, decimals and measures. These are worth more marks than some of the more straightforward, one-step problems.

Mixed operation question 1

At the cake sale, Sam buys 6 cookies and a cupcake . He pays £2.85 altogether. Naya buys 2 cookies and pays 90p altogether.

How much does the cupcake cost?

Answer (2 marks): 60p for one cupcake

Mixed operation question 2

Large biscuit tin – 48 biscuits (picture of boxes here) Small biscuit tin – 30 biscuits Ben bought 2 large tins of biscuits and 3 small tins.

How many biscuits did he buy altogether?

Answer (2 marks): 186 biscuits

2 x 48 = 96

3 x 30 = 90

96 + 90 = 186 biscuits

Mixed operation question 3

The owner of a bookshop bought a box of 15 books for £150.

He sold the books individually for £12 each. 

How much profit did he make?

Answer (2 marks)

Third Space Learning offers a wide array of maths and word problems resources for other year groups such as word problems for year 6 , word problems for year 3 and word problems for year 4 . Our word problem collection covers all four operations and other specific maths topics such as ratio word problems and percentage word problems .

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