Reading & Math for K-5

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Math Workbooks for Grade 5

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Fifth Grade Math Worksheets

Free & printable grade 5 math worksheets.

Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets .  

Choose your grade 5 topic:

4 operations.

Place Value & Rounding

Add & Subtract

Multiply & Divide

Order of Operations

Add & Subtract Fractions

Multiply & Divide Fractions

Converting Fractions

Fractions to / from Decimals

Add & Subtract Decimals

Multiply Decimals

Divide Decimals

Data & Graphing

Word Problems

problem solving math year 5

Sample Grade 5 Math Worksheet

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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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problem solving math year 5

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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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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problem solving math year 5

Problem Solving and the New Curriculum   Age 5 to 11

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Trial and Improvement at KS1   Age 5 to 7

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Trial and Improvement at KS2   Age 7 to 11

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Visualising at KS1   Age 5 to 7

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Conjecturing and Generalising at KS1   Age 5 to 7

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Conjecturing and Generalising at KS2   Age 7 to 11

  • Mathematical Problem Solving in the Early Years
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  • Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation

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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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problem solving math year 5

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Students learn the fundamentals of geometry, measurements, and algebra as they venture into more complex mathematical concepts. Our lively math teachers break down the skills into easy-to-understand lessons in on-demand videos. Lessons are available for students who are struggling with a particular skill or who just need a refresher. 

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Maths Problem Solving Lesson Plan Year 5 and 6

Maths Problem Solving Lesson Plan Year 5 and 6

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)


Last updated

30 September 2014

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Thank you. The slides are helpful.<br />

I hate to say this: I used the lesson plan and resources today, Sept. 30th 2014. I felt the lesson went really well, the children were v enthusiastic, and worked with real concentration. Unfortunately, the lesson was being observed by the Head and Deputy. The preliminary feedback (more tomorrow) is that the lesson isnt &quot;age appropriate&quot; for Years 5 and 6. Will keep updated on further feedback.........


Thanks for the resources brillaint lesson! Some help needed though- I am definately over thinking this but what is the final formula for the Nth term? Thanks

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Solving Problems (Year 5)

Solving Problems (Year 5)

In KS2 Maths, we learn to solve problems using addition, subtraction, multiplication, and division. Year Five kids tackle bigger numbers and explore measures like distance, weight, capacity, and time.

Real-life problems mean using addition, subtraction, multiplication, or division. Imagine taking a train from Sheffield to London, changing at Peterborough. The first train is 2 hours, the second is 1 hour. But don't forget the time to change trains and when the second train leaves - your journey might be 4 hours or even more!

Test your skills in this quiz. Can you solve problems with addition, subtraction, multiplication, and division?

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Year 5 Maths Australia AU Hub Page

Year 5 Math Australia image

Welcome to our Year 5 Maths Australia hub page.

In our Year 5 area, you will find a wide range of free grade 5 Maths activities and worksheets.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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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 in Australia

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

  • identify and describe factors and multiples of whole numbers and use them to solve problems
  • use estimation and rounding to check the reasonableness of answers to calculations
  • Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
  • solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies
  • solve problems involving division by a one digit number, including those that result in a remainder
  • find unknown quantities in number sentences involving multiplication and division
  • identify equivalent number sentences involving multiplication and division
  • describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
  • compare and order common unit fractions and locate and represent them on a number line
  • investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
  • recognise that the place value system can be extended beyond hundredths
  • compare, order and represent decimals
  • choose appropriate units of measurement for length, area, volume, capacity and mass
  • compare 12- and 24-hour time systems and convert between them
  • use a grid reference system to describe locations.
  • describe routes using landmarks and directional language
  • calculate perimeter and area of rectangles using familiar metric units
  • connect three-dimensional objects with their nets and other two-dimensional representations
  • describe translations, reflections and rotations of two-dimensional shapes.
  • identify line and rotational symmetries
  • apply the enlargement transformation to familiar two dimensional shapes
  • estimate, measure and compare angles using degrees
  • construct angles using a protractor
  • create simple financial plans
  • list outcomes of chance experiments involving equally likely outcomes
  • represent probabilities of equally likely outcomes using fractions
  • recognise that probabilities range from 0 to 1
  • pose questions and collect categorical or numerical data by observation or survey
  • construct displays, including column graphs, dot plots and tables, appropriate for data type
  • describe and interpret different data sets in context

Please note:

Math-Salamanders.com is mainly based around the US Elementary school math standards. It is a site which has been designed for students in the US to learn, practice and improve their math skills.

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

One of the issues you may notice is that some of the spelling may be different as our site and corresponding worksheets use US spelling.

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

The learning outcomes on this page have been taken from the Australian Education Curriculum Website

Year 5 Maths Australia Quicklinks

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

Quicklinks to Year 5 ...

  • Place Value Area

Word Problems Area

Fractions & decimals, measurement area, geometry area.

  • Statistics & Probability
  • Mental Maths
  • Fun Zone: games and puzzles
  • Seasonal Math Worksheets
  • Year 5 Maths Grab Packs
  • Seasonal Worksheets

Year 5 Maths Australia Information

Math Salamanders is primarily designed for students in the US to learn, practice and improve their math skills.

However, most of the math skills are equally valid for students in other countries such as the UK, Canada, Australia and New Zealand.

We have created hub pages, like this one, that are based on the Australian maths curriculum and have links to all of our relevant maths resources.

Place Value & Number Sense Area

Year 5 numbers and the number system.

Here you will find a range of Free Printable Grade 5 Number Worksheets.

Using these maths worksheets will help your child to:

  • use place value with numbers up to 10 million;
  • use place value with up to 3 decimal places;
  • understand how to use exponents (powers) of a number;
  • understand and use parentheses (brackets);
  • understand and use multiples and factors;
  • extend their knowledge of prime and composite (non-prime) numbers up to 100;
  • know and be able to use the PEMDAS (or PEDMAS) rule.
  • Place Value Worksheets to 10 million
  • 5th Grade Place Value to 3dp
  • PEMDAS Rule Support Page
  • PEMDAS Problems Worksheets
  • Balancing Math Equations

Ordering Numbers, including Negative Numbers and Decimals to 3dp

The sheets in this section involve negative numbers and lists of decimals to 3 decimal places.

There are also sheets involving ordering large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

  • Ordering Large Numbers up to 100 million
  • Ordering Decimals to 3dp
  • Ordering Negative Numbers -10 to 10

Rounding, Inequalities, Multiples and Balancing Equations

Using these Maths worksheets will help your child to:

  • round a number to the nearest 10, 100 or 1000;
  • use the > and < symbols correctly for inequalities;
  • use multiples and apply them to solve problems.
  • learn to balance math equations

All the 3rd grade math worksheets below support elementary math benchmarks.

  • Rounding to the nearest 10 Worksheets
  • Rounding to the nearest 100 worksheets
  • Rounding to the nearest 1000 worksheets
  • Rounding Inequalities Multiples Worksheets

Top of Page

Decimal Counting Worksheets

Using these sheets will support you child to:

  • count on and back by multiples of 0.1;
  • fill in the missing numbers in sequences;
  • count on and back into negative numbers.
  • Counting By Decimals
  • Decimal Number Bonds to 1

Year 5 Mental Maths Quizzes

Each worksheet tests the children on a range of math 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 quiz!

  • Mental Math 5th Grade

Year 5 Addition Worksheets

Using these 5th grade math worksheets will help your child to:

  • add decimals including tenths and hundredths mentally;
  • add a columns of multi-digit numbers, including money and decimals.
  • Decimal Addition Worksheets (mental)
  • Free Addition Worksheets (randomly generated)
  • Grade 5 Addition Worksheets BIG Numbers
  • Decimal Column Addition Worksheets
  • Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

Using these sheets will help your child to:

  • subtract decimals including tenths and hundredths mentally;
  • subtract multi-digit numbers, including decimals using column subtraction.
  • Subtracting Decimals Worksheets (mental)
  • Free Subtraction Worksheets (randomly generated)
  • 5th Grade Subtraction Worksheets up to Billions
  • Decimal Subtraction Worksheets (columns)

Multiplication Worksheets Year 5

Using these Year 5 maths 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 by 10 and 100 Worksheets
  • 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
  • Free Multiplication Worksheets (randomly generated)
  • Multiplication & Division Worksheets (randomly generated)
  • Multiplication Word Problems

Division Worksheets Year 5

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
  • (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

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

Using these Year 4 Maths worksheets will help your child to:

  • 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 more challenging longer problems.

  • 5th Grade Math Problems

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

  • 5th Grade Math Word Problems

Using these worksheets will help your child to:

  • position different fractions on a number line;
  • understand equivalent fractions;
  • understand what a mixed number is;
  • compare two or more fractions;
  • add or subtract fractions with like denominators;
  • begin to convert fractions to decimals and decimals to fractions.
  • Equivalent Fractions Worksheets
  • Comparing Fractions Worksheet page
  • Improper Fraction Worksheets
  • Adding Fractions with Like Denominators
  • Subtracting Fractions with like denominators
  • Simplifying Fractions Worksheets
  • Converting Decimals to Fractions Worksheets
  • Free Printable Fraction Riddles (harder)
  • 5th Grade Geometry - Angles
  • Block Symmetry Worksheet
  • Line Symmetry Worksheets
  • Symmetry Activities

This contains all of our worksheets based on measures including area and perimeter, volume, time and money.

Area, Perimeter and Volume Worksheets

  • understand area and perimeter;
  • learn how to find the area and perimeter of rectangles and rectilinear shapes.
  • find the volume of simple shapes.
  • Area Worksheets
  • Perimeter Worksheets
  • 5th Grade Volume Worksheets

Year 5 Maths Australia - Money

We have a selection of money worksheets to support counting money amounts and money challenges.

We also have some counting money riddles to help develop problem solving skills.

  • Money Worksheets Australian (harder)
  • Money Addition Worksheets ($)
  • Money Subtraction Worksheets ($)

Year 5 Maths Australia - Time

We have a selection of time worksheets to help practice and learn 24 hour clock as well as working out time intervals.

  • 24 Hour Clock Conversion Worksheets
  • Add and Subtract Time Worksheets
  • Elapsed Time Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths australia - games.

These Maths games have been developed to help students practice their Grade 5 Maths skills.

  • Math Games 5th Grade

Year 5 Maths Australia - Puzzles

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

  • 5th Grade Math Puzzles

Year 5 Seasonal Maths Worksheets

We have started creating sets of seasonal worksheets for each grade.

These sheets are great for linking to a particular topic, or doing some math that relates to the time of year.

  • 5th Grade Christmas Math Worksheets

Year 5 Maths Australia - Grab Packs

For those of you who have found yourselves unexpectedly at home with the kids and need some emergency activities, we have developed some Maths Grab Packs.

Each grab pack is a collection of 10 worksheets covering a range of math topics (plus a game in some of the packs).

They are completely FREE - take a look!

  • Year 5 Maths Grabs Packs

Other AU Maths Worksheet pages

See below for our other maths worksheets hub pages designed for students in Australia.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

  • How to Print support

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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The Telegraph

Tony Gardiner, mathematician whose annual schools challenge thrilled competitive children – obituary

T ony Gardiner, who has died aged 76, was the crusading mathematician behind the UK Schools Mathematics Challenge, an annual brain-racking competition for children aged between 11 and 14, aimed at stirring up enthusiasm for maths.

Concerned that British schoolchildren were falling behind in mathematics attainment in international league tables, Gardiner, then a lecturer at Birmingham University, founded Junior and Intermediate Mathematical Challenges under the name of the UK Mathematics Foundation Challenge in 1987, along lines that owed nothing to government educational reforms or progressive teaching methods (of which he was highly critical). Calculators were banned.

The idea of the “challenge” tapped into children’s natural competitiveness with questions designed to stretch them and encourage them to develop formal arguments and proofs. Forty per cent received certificates – six per cent gold, 14 per cent silver, 20 per cent bronze.

The best performers were then invited to try the Junior Mathematics Olympiad, a three-hour written paper which, as Gardiner explained, gave them “a glimpse of what there is still to learn”. “Tea and a cake cost £4.50. Tea and an éclair cost £4. A cake and an éclair cost £6.50. What is the cost of tea, a cake and an éclair?” ran a question from one recent paper.

“They are not like the questions you get in the book. There are different types of maths mixed in one puzzle,” observed one pupil interviewed by The Independent in 1993. Operating on a shoestring budget (entry: 30p a head), within five years the Mathematics Challenge had spread to about 1,600 schools, from independents to inner-city comprehensives.

Though entry was voluntary and none of the certificates would do schoolchildren the slightest good in terms of attainment targets or Key Stage 3 tests, anecdotal evidence suggests that it has encouraged many to go on to specialise in mathematics.

Gardiner continued to run the Junior and Intermediate Challenges until 1996 when, with the numbers of entrants reaching 105,000 and 115,000 respectively, he founded the UK Mathematics Trust (UKMT) to run both the challenges and the separate National Mathematics Contest (now the Senior Mathematical Challenge), established in 1961 by F R Watson. 

Thanks largely to Gardiner’s leadership and energy, the UKMT is now one of the UK’s largest mathematics enrichment programmes. In 2002-03 he designed and ran the first national year 12 Team Maths competition which is now one of 14 events run by UKMT.

He was scathing about education reforms and in a 2000 article in The Independent attacked the Blair government’s new “world-class” maths tests for school children as failing to provide any solution to the problem of how to encourage the most able.

“Setting good problems to test the top 5 to 10 per cent is hard,” he wrote. “Setting problems that can be marked reliably… is harder still. Those who have been doing both for many years… suggest that one should start by using short, closed questions of a relatively traditional kind and stick, initially, to paper and pencil tests...

“Instead, the Department for Education and Employment insisted that the test be delivered by computer; and the test developers preferred open problems of a kind better suited to exploratory classwork than to reliable assessment…

“Then there was the critical flaw that most of the problems could be solved by trial and error. Yet maths is the science of exact calculation. So our best pupils are condemned to sit lousy tests, with no obvious purpose, at an inappropriate age.”

Anthony Gardiner was born at Bracknell, Berkshire, on May 17 1947 to Lt Col David Gardiner, an officer in the Royal Signals, and his wife Mary, a nurse in Queen Alexandra’s Royal Army Nursing Corps.

Owing to his father’s Army career, Tony’s childhood was spent in Hong Kong and Singapore, and at the age of nine he was sent to the Duke of York’s Royal Military School in Kent. He took his A-levels aged 15 and, with his parents still overseas, remained at the school for three more years.

He read mathematics at Southampton and did an MSc at Warwick University. He spent the next five years working on a PhD, affiliated to Warwick but based at other locations including Dar es Salaam, where he lectured at the university, and, in Germany, Bielefeld University, where he also lectured.

In the early 1970s he completed a postdoc at Royal Holloway College. From 1974 to 2000, he was a reader in mathematics and maths education at Birmingham University, where, in the early 1980s, he established a series of “Take Home” competitions called the Birmingham University Mid Term Mathematical Problem Solving Journal.

By the mid-1980s, 3,500 11-15 year-olds and 1,200 16-18-year-olds were taking part. He set and marked all the problems himself. Out of this came the idea for National Maths Challenges. In 1994 he set up the National Maths Summer School for the most able 14 to 17-year-olds and ran them annually until 2000. He also established a Teachers’ Summer School, intensive six-day events for 60-90 teachers, which ran from 2007-09.

He had the gift of inspiring others with the beauty of maths and many of his students went on to become maths teachers. Around the globe, at varied types of school, his problem-solving books enabled budding mathematicians to find a home in maths.

As a mathematician, Gardiner made contributions in areas including finite and infinite groups, algebraic graph theory and number theory. He wrote some 15 books and in 2003 created the Problem Solving Journal, a termly problems booklet for secondary school students.

In 1995, he was awarded the Paul Erdős Award for his contributions to UK and international mathematical challenges and Olympiads and, in 2016, he was presented with an award from Texas A&M University for Excellence in Mathematics Education.

Gardiner liked to say: “Failure is far more important and far more creative than success.” Outside mathematics, he was a great fan of classical music and gardening. He gave his lawn, vegetables and plants as much love as he did maths.

He married, in 1971, Gwyneth George, who survives him with three sons and two daughters.

Tony Gardiner, born May 17 1947, died January 22 2024

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Gardiner (in a promotional image): he was scathing about education reforms


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    By the mid-1980s, 3,500 11-15 year-olds and 1,200 16-18-year-olds were taking part. He set and marked all the problems himself. Out of this came the idea for National Maths Challenges.