year 5 maths problem solving questions

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

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

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

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

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

Year 5 Maths Learning

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

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

Please note:

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

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

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

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

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

Quicklinks to Year 5 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

• Fractions & Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

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

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

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

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 5 place value worksheets.

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

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

Year 5 Number Worksheets

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

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

Year 5 Counting Worksheets

Using these sheets will support you child to:

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

Year 5 Mental Maths Zone

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

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

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

• Year 5 Mental Maths Worksheet

Top of Page

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.

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

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return to Math Salamanders UK Home Page

Return from Year 5 Maths Worksheets to Math Salamanders Homepage

Math-Salamanders.com

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.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Teachers | Pupils | Parents

Collect 1 Mission Credit for each correct Fluency answer or solution…

Collect 3 Mission Credits for each correct iQ answer or solution…

Please use the search bar to filter and find the learning objective required.

Welcome to the home of 1000’s of free Year 5 maths questions. The MyMiniMaths daily tasks for Year 5 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free resources are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.

It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.

More about Year 5 Maths Questions …

The Year 5 maths curriculum covers a wide range of skills in: number, shape and data. All skills and understanding progresses on from the Year 4 maths learning objectives introducing new learning for the learners to develop.

Year 5 NUMBER …

The four operations – addition, subtraction, multiplication and division take small steps towards Year 6 maths such as introducing long multiplication with a 2-digit number. Place value is extended to larger values too, supporting other areas of the maths curriculum such as read and write numbers up to one million .

Year 5 SHAPE …

Learners knowledge of shape builds on Year 4 maths including a more detailed understanding of angles , 2D shapes and 3D shapes . These skills can be used together in support of a more varied application across multiple learning objectives. These connections and relationships with one another are identified allowing for greater coverage of the full curriculum.

Year 5 DATA …

Year 5 offers a more detailed coverage of representing data in tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts .

All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 5 maths is available on the MyMiniMaths YouTube channel in support of quality learning.

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.

Teach Starter, part of Tes Teach Starter, part of Tes

Search  everything  in all resources

Daily Maths Word Problems - Year 5

Updated:  04 Oct 2023

A set of 20 problem solving questions suited to year 5 students.

Non-Editable:  PDF

Pages:  6 Pages

• Curriculum Curriculum:  AUS V8, NSW, VIC, AUS V9
• Adobe Reader (pdf) Sign up to Plus

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. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included. Use this resource in conjunction with the Daily Maths Problems PowerPoint.

NAPLAN Year 5 Maths Preparation

These simple problem-solving questions are also a great way to help students understand some of the word problems they may encounter when sitting NAPLAN. It’s important to give your students strategies that they can draw on when presented with a word problem in maths. Using these problem-solving questions here are some suggested strategies you can empower your students with:

• Daily practice. After spending time explicitly explaining how to work through a word problem – use the word problems from these worksheets as daily problem-solving practice.
• Teach them the strategies. There are many ways students can solve maths word problems such as; breaking the word problem into smaller parts and drawing a picture to visualise what the problem is asking.
• Underline. Teach your students to underline the important parts of a maths word problem – remind them that there is often trick information in word problems that they don’t need to solve the problem.

How to Use This Resource

Once you download the PDF, there are many ways you can use the resource. Here are some suggestions:

• Print and create booklets for your students to use.
• Cut and laminate each word problem and have students use mini whiteboard markers to solve one problem a day.

Teach Starter Publishing

We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

No comments yet.

Suggest a Change

Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.

Report an Error

Did you spot an error on this resource? Please let us know and we will fix it shortly.

Are you having trouble downloading or viewing this resource? Please try the following steps:

• Check that you are logged in to your account
• For premium resources, check that you have a paid subscription
• Check that you have installed Adobe Reader ( download here )

If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .

You may also like

• Whole Number Operations →
• Word Problems →
• Worksheets →
• Teacher Planning →
• NAPLAN Year 5 →

Random Numbers MAB Flashcards 100-10000

A set of 40 MAB flashcards of random numbers between 100 and 10000.

Place Value Cards - 10 000, 1000, 100, 10, 1

A set of place value cards to help students explore and expand larger numbers.

Percy's Place Value Puzzle

A worksheet to use to consolidate student understanding of place value to the thousands.

Identifying and Naming Angles – Cut-and-Paste Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

Piggy Bank Pigs - Australian Coins

Piggy Bank Pigs are a fun, hands on way for students to learn each of the coins and how their values add up to a certain amount.

Desk Plate Alphabet and Number Line - Butterflies and Lady Bugs

Lower Grade Desk Plates with the alphabet, number line and student's name on them.

Area of 2D Shapes Posters

Area of 2D Shapes - so many rules and formulas to remember!

Location Maths Investigation - Blackbeard's Bounty

A mathematics investigation about location, embedded in a real-world context.

Area And Perimeter Task Cards

Use these area and perimeter task cards in your maths lessons to give your students practice solving real-world word problems.

Identifying Numbers PowerPoint

A 14 page editable PowerPoint presentation to use when teaching number recognition to younger students.

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.

This site uses cookies to give you the most relevant information. Learn more

Log in or sign up to get access to this resource

School subscription, reduce teacher workload.

From £155 (+ VAT) per year. Access to all key stages for multiple users.

Individual Subscription

For inspirational teaching.

Just £45 (£37.50 + VAT) per year to get access to all resources.

Early Career Teacher

Develop your teaching.

Just £33 (£27.50 + VAT) to get access to all resources for 2 years.

Taster Account

100s of resources.

Register to access all free resources.

Already subscribed?

Log in to get access.

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.

Subscribe to our newsletter

The latest news, articles, and resources, sent to your inbox weekly.

© Copyright 2011 - 2024 Route One Network Ltd. - URBrainy.com 11.0.12

Year 5 Maths: Practice Questions and Quiz Online

Year 5 Maths Year 5 Science

Year 5 Math Home Learning  

• Year 5  Number and Place Value Practice Questions
• Year 5  Number and Place Value  Study Notes
• Year 5  Number and Place Value Quiz
• Year 5  Maths Fraction Practice Questions
• Year 5  Maths Fraction  Study Notes
• Year 5  Maths Fraction Quiz
• Year 5  Addition and Subtraction Practice Questions
• Year 5  Addition and Subtraction  Study Notes
• Year 5  Addition and Subtraction Quiz
• Year 5  Maths Decimals and Percentages Practice Questions
• Year 5  Maths Decimals and Percentages  Study Notes
• Year 5  Maths Decimals and Percentages Quiz
• Year 5  Maths Measurement online Practice Questions
• Year 5  Maths Measurement  Study Notes
• Year 5  Maths Measurement Quiz
• Year 5  Maths Statistics online Practice Questions
• Year 5  Maths Statistics  Study Notes
• Year 5  Maths Statistics Quiz

The Year 5 math curriculum is designed to build upon the mathematical knowledge and skills developed in previous years. It covers a wide range of topics and concepts, including number sense, arithmetic operations, geometry, measurement, and data handling. Here’s a detailed overview of the Year 5 math national curriculum:

• Read, write, order, and compare numbers up to 1,000,000.
• Recognize the value of each digit in a six-digit number.
• Round any number to the nearest 10, 100, 1,000, 10,000, or 100,000.
• Solve number and place value problems.
• Add and subtract whole numbers with up to 6 digits using efficient methods.
• Use estimation and inverse operations to check answers.
• Solve addition and subtraction problems, including missing number problems.
• Multiply and divide numbers mentally, including decimals and large numbers.
• Use efficient written methods for multiplication and division.
• Solve multiplication and division problems, including scaling problems and finding factors and multiples.
• Recognize and name fractions and mixed numbers.
• Compare and order fractions with different denominators.
• Add and subtract fractions with the same denominator.
• Multiply proper fractions and mixed numbers by whole numbers.
• Solve fraction problems, including finding fractions of amounts and solving problems involving fractions, decimals, and percentages.
• Recognize and understand the relationship between decimals and fractions.
• Convert between decimals and percentages.
• Add, subtract, and compare decimals up to three decimal places.
• Solve decimal and percentage problems, including finding percentages of amounts and solving problems involving discounts and interest.
• Convert between different units of measurement (e.g., kilometers to meters, liters to milliliters).
• Solve problems involving perimeter, area, and volume.
• Estimate and measure angles using a protractor.
• Tell and write the time using the 12-hour and 24-hour clock.
• Solve time problems, including timetables and solving problems involving duration.
• Identify, describe, and classify shapes, including quadrilaterals, pentagons, and hexagons.
• Identify lines of symmetry in 2D shapes.
• Recognize and describe the properties of 3D shapes.
• Identify and describe angles, including right angles, acute angles, and obtuse angles.
• Interpret and present data using bar charts, pictograms, and tables.
• Solve problems involving line graphs and interpret timetables.
• Calculate and interpret the mean as an average.
• Solve statistical and data handling problems, including finding the mode and range.

In addition to these topics, the Year 5 math curriculum also emphasizes problem-solving skills, mathematical reasoning, and the ability to apply mathematical knowledge to real-life situations. It encourages students to develop fluency, accuracy, and efficiency in their mathematical calculations and to use mathematical language and notation correctly.

Maths SATs Worksheet Papers

• Year 5-6 KS2 SATs Style Worksheet 1

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Problem Solving

Problem Solving and the New Curriculum   Age 5 to 11

Developing a Classroom Culture That Supports a Problem-solving Approach to Mathematics   Age 5 to 11

Developing Excellence in Problem Solving with Young Learners   Age 5 to 11

Using NRICH Tasks to Develop Key Problem-solving Skills   Age 5 to 11

Trial and Improvement at KS1   Age 5 to 7

Trial and Improvement at KS2   Age 7 to 11

Working Systematically - Primary Teachers   Age 5 to 11

Number Patterns   Age 5 to 11

Working Backwards at KS1   Age 5 to 7

Working Backwards at KS2   Age 7 to 11

Reasoning   Age 5 to 11

Visualising at KS1 - Primary Teachers   Age 5 to 7

Visualising at KS2 - Primary Teachers   Age 7 to 11

Conjecturing and Generalising at KS1 - Primary Teachers   Age 5 to 7

Conjecturing and Generalising at KS2 - Primary Teachers   Age 7 to 11

• Mathematical Problem Solving in the Early Years
• Low Threshold High Ceiling - an Introduction
• What's All the Talking About?
• Group-worthy Tasks and Their Potential to Support Children to Develop Independent Problem-solving Skills
• Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Reasoning problems Year 5/6 with answers

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

This resource has been created based on KS2 SATs reasoning tests. These can be used to practise a range of skills or identify gaps in learning. Answers are at the bottom of the worksheet.

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Thank you for sharing

Empty reply does not make any sense for the end user

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource: