problem solving questions year 5 maths

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.

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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CHALLENGE ZONE 5th Grade Math Problems

Welcome to our 5th Grade Math Problems. Here you will find our range of challenging math problem worksheets which are designed to give children the opportunity to apply their skills and knowledge to solve a range of longer problems.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

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5th Grade Math Problems

Here you will find a range of problem solving worksheets.

The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them.

The skills the problems will help to develop include:

• systematic working
• logical thinking
• number fact knowledge
• fraction problems
• trial and improvement strategies
• working backwards
• working systematically
• searching for all possible answers.

At fifth grade, the problems are more advanced with children needing to become more systematic in their approach and experimenting using trial and improvement strategies.

Many of the problems have addition 'What if ...' questions with them to extend learning and get children looking for alternative solutions.

These sheets are great for extending learning for more able mathematicians, or using in a whole class problem solving lesson.

• 5th Grade Math Word Problems
• Bertie's Big Win

Bertie's Big Win is a problem involving both money and fractions which can be worked backwards. The aim of the problem is to work out how much money Bertie started with from the clue that are given.

• PDF version
• Fox vs Rabbit #2

Fox vs Rabbit is an activity involving mathematical modelling of a fox chasing a rabbit. The rabbit has a head-start, but the fox is faster. The aim is to find out when the fox will catch the rabbit, and whether or not the rabbit has time to reach his burrow.

• 1..2..3..4.. Challenge

The 1..2..3..4.. Challengs is a number problem involving using the numbers 1, 2, 3 and 4 along with arithmetic operators to make the numbers from 1 to 20. It is great for practicing PEMDAS and getting children to persevere and develop their mental arithmetic skills.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

• Blank version
• Frazer's Wall #2

Frazer's Wall #2 is a fraction problem solving activity which involves trying to work out the number of bricks that were laid in each day to find out how long it would take to make a wall. This problem is best solved by using a table or working it out one day at a time.

• Millenary Math

Millenary Math is a time problem involving what the time will be in a thousand years/weeks/hours/minutes, etc. It is a good activity for converting units of time and knowing facts like how many days are in each month. There is no answer sheet, as the activity involves using the current time.

• Sally's Fruit Punch #3

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

• Sally's Fruit Punch #3 UK Version
• Share the Treasure #5

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

• Something Fishy #2

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent a fixed amount of money on the fish. It is a good activity for using lists and tables to find all possibilities. It is also great for perseverance!

• Something Fishy #2 UK Version
• The Five Primes

The Five Primes is a number activity involving finding five primes with different totals. It is a good activity for learning prime numbers up to 30, and also for working systematically.

• The Rock Race #3

The Rock Race is a 5th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

• Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

• Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

• Number Totals Investigation

Number Totals Investigation is a PEMDAS number task which involves using 3 digits and operations to make the largest or smallest possible total.

Looking for some easier math problems?

We have a range of easier word problems on our 4th grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Share the Treasure, The Rock Race, Something Fishy have easier versions on this page.

• 4th Grade Math Problems

Looking for some more fifth grade math word problems?

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

• 5th Grade Math Puzzles

Here you will find a range of printable 5th grade math puzzles for your child to enjoy.

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.

Using these puzzles will help your child to:

• learn and practice their addition facts, including decimals;
• practice their subtraction facts, including decimals;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 5th grade.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

• Math Games 5th Grade

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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:

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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:

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• 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:

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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.

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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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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5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

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

We encourage students to think about the problems carefully by:

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

The four operations

Mixed 4 operations

Estimating and rounding word problems

Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Dividing by unit fractions

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

Decimals word problems

Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

Word problems worksheets with variables

Variables and expressions

Variables and equations

Other grade 5 word problems worksheets

Volume of rectangular prisms

GCF / LCM word problems

Mixed grade 5 word problems  

Sample Grade 5 Word Problem Worksheet

More word problem worksheets

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

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Year 5 mixed operation word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

12 May 2020

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

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