year 5 maths problem solving test

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Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

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

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

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

Year 5 Maths Learning

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

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

Please note:

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

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

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

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

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

Quicklinks to Year 5 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

• Fractions & Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

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

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

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

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 5 place value worksheets.

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

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

Year 5 Number Worksheets

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

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

Year 5 Counting Worksheets

Using these sheets will support you child to:

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

Year 5 Mental Maths Zone

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

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

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

• Year 5 Mental Maths Worksheet

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Year 5 Addition Worksheets

• add multiple numbers in columns up to 5 digits;
• add numbers in columns, including money amounts with up to two decimal places.
• Decimal Addition Worksheets (mental)
• Free Addition Worksheets (randomly generated)
• Addition Worksheets with Multi-Addends
• Money Addition Worksheets (£ )
• Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

• learn to subtract numbers with up to 5 digits;
• learn to subtract numbers involving money with decimals with up to two decimal places.
• Free Subtraction Worksheets (randomly generated)
• 5 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )
• Subtracting Decimals Worksheets (mental)

Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.
• Times Table Worksheets Circles 1 to 12 tables
• Times Tables Worksheets (randomly generated)
• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (Graded)
• Single Digit Multiplication Worksheets Generator
• Multi-Digit Multiplication Generator
• Multiplication Word Problems

Year 5 Division Worksheets

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

• apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
• divide any whole number by a single digit.
• Divding by Multiples of 10 and 100 Worksheets
• Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

• Division Worksheets (Grade 4) Word Problems
• Division Facts Worksheets (randomly generated)

Year 5 Math Problems

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

These sheets involve solving one or two more challenging longer problems.

• 4th Grade Math Problems

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

• 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

• Division Worksheets Grade 4 Word Problems

Fractions & Percentage Zone

Quicklinks to ...

• Year 5 Fractions Worksheets

Year 5 Percentage Worksheets

Year 5 fraction worksheets.

• position different fractions on a number line;
• understand equivalent fractions;
• understand what a mixed number is;
• compare two or more fractions;
• begin to convert fractions to decimals and decimals to fractions.
• Equivalent Fractions Worksheets
• Comparing Fractions Worksheet page
• Improper Fraction Worksheets
• Fractions of Numbers
• Convert Fractions to Decimal Sheets
• Convert Decimal to Fraction Sheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Fractions Decimals Percents Worksheets
• Percentage Word Problems

Year 5 Geometry Worksheets

Using these sheets will help you to:

• classify angles - acute, obtuse, right, reflex, straight;
• classify triangles - acute, obtuse, right;
• measure angles using a protractor;
• know that angles in a triangle add up to 180°
• know the properties of regular and irregular shapes
• plot and write coordinates in the first quadrant.
• 4th Grade Geometry Worksheets
• Symmetry Activities
• Coordinate Worksheets (1st Quadrant)

Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.
• 4th Grade Measurement Worksheets
• Converting Customary Units Worksheets
• Metric Conversion Worksheets

Area and Perimeter Worksheets

• understand area and perimeter;
• learn how to find the area and perimeter of rectangles and rectilinear shapes.
• Area Worksheets
• Perimeter Worksheets

Year 5 Time Worksheets (4th Grade)

Using the sheets in this section will help your child to:

• tell the time to the nearest minute;
• become familiar with both digital and analogue times;
• add and subtract time intervals.
• Telling Time Worksheets Grade 4 (1 minute intervals)
• 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

• Add and Subtract Time Worksheets
• Elapsed Time Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

• draw and read bar graphs with increasingly complex numbers;
• read, interpret and draw line graphs;
• Year 5 Bar Graph Worksheets (4th grade)
• Year 5 Line Graph Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

• Year 5 Math Games (4th Grade)

Year 5 Maths Puzzles

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

• Year 5 Maths Puzzles (4th Grade)

Math Salamanders Year 5 Maths Games Ebook

Our Year 5 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 5 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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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

Popular searches in the last week:

Problem-solving maths investigations for year 5.

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

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

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

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

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

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

You can find Hamilton's investigations for Year 5:

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

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

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

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

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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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KS2 Year 5 Maths 10-Minute Tests: Problem Solving

• Product code: M5PSXP21
• ISBN: 9781789086485

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• £3.50

We love giving free samples to UK schools — they'll be on your desk before you know it.

If you'd like to take a look at any of CGP's products just click the 'Free Sample' button and it'll appear in your basket. There's no catch — you won't be charged for it, and we'll never ask for it back!

Brimming with bite-sized tests for Year 5 on Problem-Solving style questions , this book is the perfect quick-fire Maths practice for ages 9-10.

Inside you'll find 12 tests, each featuring a selection of warm-up questions and more challenging Problem-Solving questions. Tests get progressively more difficult throughout the book — ideal for improving pupils' skills at a comfortable pace.

Answers and mark schemes are included at the back of the book for easy scoring, as a well as a progress chart to help keep track of pupils' progress.

For more topic-targeting Year 5 Maths practice, check out our 10-Minute Tests for Addition and Subtraction , Fractions and Decimals and Multiplication and Division , or get all four in one brilliant money-saving bundle

This book can also be bought as a standalone Online Edition — we'll send you a code to redeem immediately.

• Key Stage: KS2
• Subject: Maths
• Years Covered: 5
• Media: Book
• Colour: Black & White
• Publication Date: 2020
• No of Pages: 32

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KS2 Year 5 Maths 10-Minute Tests: Fractions, Decimals & Percentages

KS2 Year 5 Maths 10-Minute Tests: Addition & Subtraction

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KS2 Year 5 Maths 10-Minute Tests: Multiplication & Division

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Maths Problems with Answers for Grade 5

Grade 5 maths problems with answers are presented. Also Solutions and explanations are included.

• Three toy cars and 4 toy trains cost $18. Two toy cars and 3 toy trains cost $13. What is the price of one toy car and the price of one toy train if both prices are whole numbers of Dollars? (Hint: Use a table) Solution
• 450 chocolate bars
• 4 hours and 30 minutes
• 11,800 TV sets
• Tom: 22 , Bob: 27
• same time , 12 minutes
• Jim: 5 years , Carla: 10 years , Tomy: 16 years
• 10,080 minutes
• 700 meters squared
• 114 centimeters squared
• one toy car costs $2 and 1 toy train costs $3.

More References and links

Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers

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Maths Problem Solving, Reasoning and Investigating: Year 5 (INSTANT DOWNLOAD)

£ 20.00

This series has been designed to match all appropriate objectives from each content domain of the Maths Curriculum. As each content domain is taught, the skills learnt can be applied to the relevant problems. This means that a particular objective can be reinforced and problem solving and reasoning skills developed further.

Description

About this resource

The resource:

provides children with the opportunity to apply their mathematical reasoning skills to problem solving

covers all of the appropriate objectives of the Maths Curriculum for Years 1 to 6

includes one-step, two-step, and multi-step problems

includes 400+ questions per book

includes 150+ mastery questions per book

includes a ‘mastering’ section incorporating mathematical reasoning with additional challenge for every content domain of the curriculum

includes an ‘extended investigation’ on a theme covering multiple objectives from the curriculum

“Excellent resource! Well matched to the objectives of the maths curriculum. The digital version is really helpful too!”

This resource is supplied as an instant digital download (upon payment). UK schools have the option to request an invoice at checkout (payable in 30 days). If an invoice is requested, we will forward the digital files once we have verified your school email address and details. The files are supplied in PDF format, downloaded within a zip file. Includes a lifetime printing/copying licence for the purchasing school (no additional year-on-year costs).

Related products

Mastering the Arithmetic Curriculum (with Scaled Score Tests): Years 1-6 (INSTANT DOWNLOADS)

Maths Reasoning Assessment Tests (with Scaled Scores): Year 1 (INSTANT DOWNLOAD)

Maths Reasoning Assessment Tests (with Scaled Scores): Year 5 (INSTANT DOWNLOAD)

Mastering the Maths Curriculum (Scheme of Work): Year 5 (INSTANT DOWNLOAD)

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Euro 2024 Maths Resources

Subject: Mathematics

Age range: 11-14

Resource type: Game/puzzle/quiz

Last updated

30 May 2024

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A selection of maths resources linked to football and specifically Euro 2024. I use for pupils in years 5 through to year 8.

Euro Maths Challenge is a new effort so we shall see how it goes in the classroom, hopefully fun competitive ish Maths!

Euro Mascots is a data handling exercise based on ranking the past Euro mascots, a firm favourite every couple of years.

16 questions - football related - a number of tricky questions involved.

Football dice simulation - I normally get pupils in a group to play a group and then enter the knock out stages, it ensures more are involved into the latter stages.

The flags are simply a method of assigning a country to each member of my form group, they pick out a team randomly and that gets put up next to a large Euro 2024 fixtures poster.

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