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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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Math Workbooks for Grade 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  

year 5 maths problem solving questions

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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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.

Preview of worksheet  Solve single step 'real life' problems

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

Preview of worksheet Multi step problems using bar models

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

Preview of worksheet  Solve multi step word problems

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

Preview of worksheet Multi-step problems: shopping

Multi-step problems with shopping.

Preview of worksheet Multi-step problems: hobbies

Tricky multi-step problems on thew theme of hobbies.

Preview of worksheet Multi-step problems: using cards

Multi-step problems: using cards.

Preview of worksheet Multi-step problems: using place value charts

Multi-step problems: using place value charts.

Preview of worksheet Vending machine

Buying snacks and drinks from a vending machine.

Preview of worksheet Work out the price of the plants

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

Preview of worksheet Cost of houseplants

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

Preview of worksheet Buying three houseplants

Addition of money to really stretch the brain!

Preview of worksheet Meal deal

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

Preview of worksheet Days out (1)

Solving problems involving '3 for 2' voucher offer.

Preview of worksheet Days out (2)

Solving money problems with 3 for 2 offers and percentages.

Preview of worksheet Days out (3)

More percentage problems.

Preview of worksheet  Solve problems involving money

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

Preview of worksheet Solving multi step problems

Tricky word problems needing more than one step to solve.

Preview of worksheet  Solve problems involving measurement

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

Preview of worksheet  Solve problems involving time

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

Preview of worksheet 5-digit numbers: problem solving

Find the number from the clues given.

Preview of worksheet Problem solving: inverse operations

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

Preview of worksheet Digit cards: largest and smallest numbers

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

Preview of worksheet  Choose the correct strategy

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.

Preview of worksheet Bar modelling: facts about decimals

Finding facts about decimal fractions, including bar modelling.

Preview of worksheet Bar modelling facts about decimal (2)

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

Preview of worksheet Order decimals

Order decimals.

Preview of worksheet Find half way between two decimals

Find half way between two decimals.

Preview of worksheet Word problems with decimals

Word problems with decimals.

Preview of worksheet Ordering fractions

Ordering fractions.

Preview of worksheet  Tests of divisibility

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.

Preview of worksheet  More on odd and even numbers

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

Preview of worksheet 12 to 15 square

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

Preview of worksheet  More problem solving

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

Preview of worksheet  Make and investigate general statements

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

Preview of worksheet  Use binary trees to solve problems

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

Preview of worksheet Challenges and Investigations in Year 5

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

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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 .

Do you have pupils who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of pupils across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress. Since 2013 we’ve helped over 150,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Subsidised one to one maths tutoring from the UK’s most affordable DfE-approved one to one tutoring provider.

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Year 5 Maths Worksheets

Year 5 Maths worksheets are created to help students of year 5 to practice the questions on a regular basis. These worksheets include all the topics, for example, area, perimeter, volume, lines and angles, quadrilaterals, percentage, and so on.

Year 5 Maths Worksheets with Answers

The following links take us to the pages that have year 5 Maths Worksheets pdfs of different topics. These can be downloaded very easily and used for practicing questions related to a specific topic.

Benefits of Year 5 Maths Worksheets

Year 5 maths worksheets are useful for students. A few benefits of these worksheets are given below:

  • Year 5 Maths worksheets help students to pay attention and focus on the subject.
  • These worksheets help students in solving maths problems on a regular basis and at their own pace.
  • By solving these worksheets, students develop confidence and learn time management.

How to Use Year 5 Maths Worksheets?

Year 5 Maths worksheets can be used with the help of the following steps.

  • Step 1: Select the required worksheet from the list that is written in the table given above.
  • Step 2: Click on the selected link and it will take you to the page of worksheets related to that particular topic.
  • Step 3: Select the worksheet accordingly and then download it. They can be printed if required.

FAQs on Year 5 Maths Worksheets

What are year 5 maths worksheets.

Year 5 maths worksheets consist of maths questions that are based on different topics for year 5. These worksheets help the students to practice questions on a regular basis in a systematic way. Year 5 Maths worksheets include questions based on topics like numbers , addition , subtraction , multiplication and division , factors and multiples , time , polygons , 2D shapes , 3D shapes, lines and angles , and so on.

Where do we get Maths Questions for Year 5?

Maths questions for year 5 can be found in the year 5 maths worksheets given in the table above on this page. These worksheets can be downloaded using the following steps.

  • Step 1: Select the topic of the worksheet that has the questions that are needed.
  • Step 2: Click on the link which will lead to a page that has worksheets related to the selected topic.
  • Step 3: Open the worksheet link to download it and these worksheets can be printed easily if needed.

Do Year 5 Maths Worksheets have Solutions?

Yes, all year 5 maths worksheets have solutions and answers toward the end. After the students complete a worksheet, they can verify and cross-check the answers and solutions.

How to Solve Year 5 Word Problems?

In order to solve year 5 word problems, the following steps can be used:

  • Step 1: Read the word problem properly to understand and note the quantities that are given.
  • Step 2: Make a note of the quantity that is missing.
  • Step 3: Try to draw the problem in terms of figures so that it helps in understanding the problem better.
  • Step 4: Think of the maths operation or method that will help in finding the missing quantity. Use statements to express the value to avoid mathematical errors.

Are Maths Sheets for Year 5 Easy to Use and Understand?

Yes, year 5 maths worksheets are easy to understand because they are created in such a format that it helps the students. The students are able to practice the questions systematically within a time frame. This helps them to learn time management and know how much time needs to be given to each question. Another advantage is that the students can not only view the questions on the screen but also get a printout of the worksheets to solve them. In case of any doubt they can refer to the solutions given at the end.

Popular searches in the last week:

Problem-solving maths investigations for year 5.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 5 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 5 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

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

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

You can find Hamilton's investigations for Year 5:

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

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

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

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

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Year 5 mixed operation word problems

Year 5 mixed operation word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

mjt89

Last updated

12 May 2020

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year 5 maths problem solving questions

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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year 5 maths problem solving questions

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.
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  • Year 6 (age 10–11)
  • Help with times tables
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Year 5 tasks

The Ministry is migrating nzmaths content to Tāhurangi.             Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz).  When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024.  e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

To solve maths problems at year 5 it is very important for your child to be able to instantly recall addition and subtraction facts up to 20, and multiplication and division facts up to 10 x 10.

e-ako maths provides free online basic fact learning tools which will help your child learn their basic facts, as well as a collection of games to improve their speed and accuracy. If you think this would benefit your child, click to read how to access this resource  (show instructions).

  • To access e-ako maths, your child will need an account. You can make a new account for free, but check first whether they already have one that they use at school. If they do, they can use the same username and password to use e-ako maths at home.
  • You can log in to e-ako maths or register a new account from the e-ako maths home page . If you are registering a new account to use at home you will need to click the "No join code? Click here." button and then "I am learning at home".

year 5 maths problem solving questions

  • The two large green boxes at the top are 'Learning tools' which will test the basic facts your child knows, and then help them learn the ones they don't already know.
  • The blue buttons below are a collection of games designed to practise basic facts to improve speed and accuracy. 
  • In Year 3 your child should mostly be concentrating on learning and practising their addition and subtraction facts, the buttons on the left.

Click to read about the purpose of the tasks below  (show purpose).

The tasks in this section are intended:

  • for students in year 5 
  • to complement similar class tasks
  • to be a selection only of enjoyable learning opportunities for your child (and for you) 
  • to generate useful explanations and discussions between you and your child.

The tasks in this section are NOT: 

  • intended to be comprehensive in their coverage of all maths at year 5
  • drill and practice exercises to learn basic facts.

These Year 5 tasks recognise that students:

  • are mostly working at early level 3 of the NZ Curriculum, growing in their understanding of number, algebra, geometry, measurement and statistics
  • are all different, and some find parts of maths easier or harder than others
  • are learning a range of approaches to solving problems that often involve several steps
  • learn from and appreciate tasks presented in a variety of ways
  • respond well to supportive questions from adults, such as, ‘What is the question asking you to do?’, or ‘What do you already know that might help you (solve the problem)?’
  • enjoy exploring open tasks for which there can be a range of appropriate approaches and solutions (accordingly, set answers are not included for a number of these tasks).

We suggest that you ask your child what they are learning in maths at school, and select a task from this menu.

Click for  versions with Māori content .

Measurement

Financial literacy.

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    4 pages Multi-step problems: using cards Multi-step problems: using cards Multi-step problems: using cards. 4 pages Multi-step problems: using place value charts Multi-step problems: using place value charts Multi-step problems: using place value charts. 5 pages Vending machine Vending machine

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    A set of 20 problem solving questions suited to year 5 students. Advance Your Students' Problem-Solving Skills This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.

  9. Year 5 Maths Worksheets

    These worksheets help students in solving maths problems on a regular basis and at their own pace. By solving these worksheets, students develop confidence and learn time management. ... Maths questions for year 5 can be found in the year 5 maths worksheets given in the table above on this page. These worksheets can be downloaded using the ...

  10. Daily Maths Word Problems

    A set of 20 problem solving questions suited to year 5 students. This set of problem solving questions has been designed to support teachers when teaching students about problem solving in mathematics.

  11. PDF Cover

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  12. Problem-solving Maths Investigations for Year 5

    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.

  13. Year 5 Maths Reasoning Test Set 1 Assessment Pack & Analysis Grid

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  15. Year 5 mixed operation word problems

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    To solve maths problems at year 5 it is very important for your child to be able to instantly recall addition and subtraction facts up to 20, and multiplication and division facts up to 10 x 10.

  20. Year 5 Open-Ended Maths Questions

    Here are some of our favourite options: Year 5 NAPLAN Preparation and Practice Exams Resource Pack 4; Open-Ended Maths Investigation Challenge Cards; Year 5 Working Backwards Maths Word Problems. These resources have been created specifically to support upper-primary school students in their preparation for the NAPLAN exams.

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