problem solving fractions decimals and percentages year 5

Fractions in Year 5 (age 9–10)

In Year 5, your child will continue to learn about fractions as numbers, measures, and operators. They will now extend their knowledge of fractions to thousandths, and will start learning about percentages.

What your child will learn

Take a look at the National Curriculum expectations for fractions in Year 5 (ages 9–10):

Compare and order fractions

Your child will learn to compare fractions with denominators that are multiples of the same number. For example:

 is less than   (also written as   <  ).

Your child will also order fractions whose denominators are all multiples of the same number. For example:

Put the fractions   ,   ,   ,   , and     in order from least to greatest.   ,  ,  ,  ,  .

Identify equivalent fractions

Use mixed numbers and improper fractions

Your child will recognise mixed numbers and improper fractions , and will be able to convert one to the other.

Add and subtract fractions with denominators that are multiples of the same number

Your child will use drawings, diagrams, and symbols to add and subtract fractions with the same denominator, and denominators that are multiples of the same number. For example:

  +     =   .     +     =     =   .

Multiply proper fractions and mixed numbers by whole numbers

Children will use objects and diagrams to:

Read and write decimal numbers as fractions

Your child will be able to understand the equivalence between decimals and fractions. For example:

Use tenths, hundredth, thousandths, and their decimal equivalents

They will be able to mentally add and subtract tenths, as well as mixed numbers that have one-digit whole numbers and tenths.

Round numbers to one decimal place

Your child will round numbers with two decimal places up or down to the nearest whole number. For example, 3.45 will round down to 3.

They will also round numbers with two decimal places up or down to one decimal place. For example, 2.67 will round up to 2.7.

Compare numbers with three decimal places

Your child will learn to read, write, order and compare decimal numbers with up to three decimal places.

For example, they will be able to:

• read and write numbers with three decimal places (for example, 1.454, 1.764, 1.654, 1.453)
• put them in order (for example, 1.453, 1.454, 1.654, 1.764)
• compare them (for example, 1.453 < 3.454).

Solve problems involving numbers with three decimal places

Understand and use percentages.

Your child will know that percentages, decimals, and fractions are different ways of expressing proportions.

They will make connections between percentages, fractions, and decimals. For example:

100% = 1   1% =    = 0·01   50% =    = 0·5   25% =    = 0·25

Your child will also recognise the percent symbol (%) and understand that ‘percent’ means ‘number of parts per hundred’. They will be able to write percentages as a fraction with denominator 100, and as a decimal fraction.

Compare percentages to fractions and decimals

How to help at home

There are lots of ways you can help your child to understand fractions. Here are just a few ideas.

1. Explore mixed numbers and improper fractions

Mixed numbers and improper fractions can be difficult for your child to grasp at first.

It often helps children to learn about these types of fractions visually. Diagrams can help their understanding:

Fraction Calculations in School

Ask your child to gather a number of pizza slices to make an improper fraction. Can they use these slices to show a mixed fraction? Can your child write down a mathematical way to reach the same answer?

2. Add and subtract fractions

Adding fractions.

In Year 5, your child will continue to add and subtract fractions. They will now be expected to add and subtract fractions whose denominators are multiples of the same number. For example:

 +   = ? First they will need to find the lowest common denominator (i.e. the smallest multiple of the two numbers). The lowest common denominator here is 8, because it is the smallest number both 4 and 8 will divide into equally. Your child will then have to multiply the numerator and the denominator by 2 to represent   in eighths: Your child will now be able to add the fractions:    +   =   –   = 

Subtracting fractions

Your child will follow a similar process to subtract fractions like these. For example:

  –    = ?   Your child will first need to find the   lowest common denominator , which is 12. So,     will become     as the numerator and the denominator will each be multiplied by 4. The     will become     as the numerator and the denominator will each be multiplied by 3. Your child will then be able to subtract     from     to leave   .    –   =   –   =   

More practice

You could practise calculating with fractions using the pizza cutouts in the Fraction Calculations in School booklet.

3. Multiply fractions by whole numbers

Your child will learn to multiply proper fractions and mixed numbers by whole numbers.

4. Investigate decimals

Show your child a number with 3 decimal places and ask them to tell you how many tenths, hundredths, or thousandths it has. For example, the number 4·203 has two tenths, zero hundredths, and three thousandths.

Place value charts can help your child to better understand decimal numbers:

Look for examples of these numbers in the real world and point them out to your child.

For example, when filling the car with petrol, ask your child to tell you what the number is by explaining how many tenths, hundredths, or thousandths it has. You could also ask them to round the total price or the total amount of petrol up or down to the nearest whole number, tenth, or hundredth. For instance, if you used 56.784 litres of petrol, you could ask your child to round this to the nearest litre (57L), tenth (56.8L), or hundredth (56.78L).

5. Investigate percentages

In Year 5, your child will be introduced to percentages. Talk about how ‘percent’ means ‘number of parts per hundred’.

Sales at the shops can provide great real-life opportunities to work with percentages. For example, you could ask your child to help you work out the sale price of an item. If there is 30% off a T-shirt and the full price is £9.99, what is 30% of the full price and what is the sale price?

• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

Year 5: Percentages, decimals and fractions

New Maths Curriculum (2014): Year 5 objectives.

Pupils should be taught throughout that percentages, decimals and fractions are different ways of expressing numbers.

Pupils should make connections between percentages, fractions and decimals (e.g. 100% represents a whole quantity and 1% is 1/100, 50% is 50/100, 25% is 25/100) and relate this to finding ‘fractions of’. They recognise that percentages are proportions of quantities as well as operators on quantities.

Recognise the per cent symbol (%) and understand that per cent relates to “number of parts per hundred”, and write percentages as a fraction with denominator hundred, and as a decimal fraction

Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with a denominator of a multiple of 10 or 25..

• Home Learning
• Free Resources
• New Resources
• Free resources
• New resources
• Filter resources
• Childrens mental health
• Easter resources

Internet Explorer is out of date!

For greater security and performance, please consider updating to one of the following free browsers

Percentages as Fractions and Decimals Lesson

This Year 5 Percentages as Fractions and Decimals lesson covers the prior learning of hundredths as decimals and decimals as fractions, before moving onto the main skill of percentages as fractions and decimals.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 5: (5F11) Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal

Mathematics Year 5: (5F12) Solve problems which require knowing percentage and decimal equivalents of 1/2 , 1/4 , 1/5 , 2/5 , 4/5 and those fractions with a denominator of a multiple of 10 or 25

Get the most from lessons!

Resources for teachers

Interactive activities for children

2 Teaching Support

Subscription

Lesson Slides

These lesson slides guide pupils through the prior learning of hundredths as decimals and decimals as fractions, before moving onto the main skill of percentages as fractions and decimals. There are a number of questions to check pupils' understanding throughout.

Modelling Powerpoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In This Percentages as Fractions and Decimals Video Tutorial, Jade represents percentages in a hundred square and demonstrates how to easily convert into fractions and decimals. She uses key terminology including tenths hundredths, numerators and denominators.

1 Prior Learning

Interactive Activity

This Year 4 Hundredths as Decimals activity includes three questions designed to check pupils’ understanding of hundredths as decimals.

This Year 5 Decimals as Fractions 2 Game is designed to checks pupils’ understanding of converting fractions to decimals using a variety of representations.

2 Practical Activities

Supporting Activity

This Percentages as Fractions and Decimals supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

2 Varied Fluency

This worksheet includes differentiated varied fluency questions for pupils to practise interpreting and using negative numbers in context.

This Year 5 Percentages as Fractions and Decimals Game is designed to checks pupils’ understanding of using fractions, decimals and percentages.

2 Reasoning & Problem Solving

This percentages as fractions and decimals extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the percentages as fractions and decimals lesson.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of percentages as fractions and decimals.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Discussion Problem

This equivalent fractions Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

This Year 5 Percentages as Fractions and Decimals Maths Challenge checks pupils’ ability to use percentages, fractions and decimals.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

These Decimals worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 5 Spring Block 3.

Home Learning Pack

This Spring week 12 Maths pack contains varied fluency, reasoning and problem solving worksheets

D Download Packs

Stay in touch.

01422 419608

[email protected]

Interested in getting weekly updates from us? Then sign up to our newsletter here!

Information

• Cookie Policy
• Privacy Policy
• Terms and Conditions

Copyright: Classroom Secrets 2024

Company number: 8401067

VAT number: 248 8245 74

• Terms & Conditions

Designed by Classroom Secrets

My Account / Login

Year 5 – Fractions

Welcome to Year 5 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support fractions, decimals and percentages lessons in Year 5 and at home.

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Fraction Addition Do Now Tasks  

Fraction Subtraction Do Now Tasks 

Fraction Addition and Subtraction Do Now Tasks

Multiply Fractions by Whole Numbers Do Now Tasks

Differentiated question sets.

Fraction of a Number Question Set 

Adding Fractions Question Set  

Multiply Fractions by Whole Numbers Question Set

Multiply Mixed Numbers by Whole Numbers Question Set  

Subtracting Fractions Question Set 

Subtracting Mixed Numbers Question Set 

Decimal Addition Question Set

Decimal Subtraction Question Set 

Shading fractions.

Shading Fraction of a Shape

Fractions of a number.

Fraction of a Number 

Strips- Fractions of a Number

Fading Scaffolding Strips- Fraction of a Number  

Add fractions.

Add Fractions with Denominators that are Multiples of the Same Number

Add Fractions with Denominators that are Multiples of the Same Number 

Strips- Add Fractions with Denominators that are Multiples of the Same Number

Faded Scaffolding Strips- Add 3 Fractions With Denominators That Are Multiples 

Add Fractions with Denominators that are Multiples of the Same Number Greater than 1

Fading Scaffolding Strips- Add Fractions with Denom Multiples of Same Number 

Strips- Adding Fractions Within 1

Strips- Adding Fractions with a Total Greater than 1

Subtract fractions.

Subtract Fractions with Denominators that are Multiples of the Same Number

Strips- Subtract Fractions with Denominators that are Multiples of the Same Number 

Strips- Add Fractions with Denominators that are Multiples of the Same Number Greater than 1

Subtract Fractions with Denominators that are Multiples of the Same Number Greater than 1

Strips- Subtract Fractions with Denominators that are Multiples of the Same Number Greater Than 1 

Fading Scaffolding Strips- Subtract Fractions Denom Multiples of Same Number

Add and subtract fractions.

Add and Subtract Fractions with Denominators that are Multiples of the Same Number

Strips- Add and Subtract Fractions with Denominators that are Multiples of the Same Number 

Adding and Subtracting Fractions Greater than 1 Part-Whole Model 

Adding and Subtracting Fractions Part-Whole Model 

Fading Scaffolding Strips- Add Subt Fractions with Denom Multiples of Same Number Over 1 

Strips- Add and Subtract Fractions with Denom that are Multiples of the Same Number Greater Than 1 

Add and Subtract Fractions with Denominators that are Multiples of the Same Number Greater than 1

Strips- Complements of 1 

Simplify fractions.

Strips- Simplify Fractions

Ordering and comparing fractions.

Order Fractions with Denominators that are Multiples of the Same Number

Faded Scaffolding Strips- Order Fractions With Denominators That Are Multiples 

Compare Fractions with Denominators That are Multiples of the Same Number

Equivalent fractions.

Equivalent Fraction

Strips- Equivalent Fraction

Multiply fractions.

Multiply Proper Fractions by Whole Numbers

Multiply Unit Fractions by Whole Numbers

Multiply Fraction by Whole Number

Faded Scaffolding Strips Multiply Fractions by  Whole Numbers

Multiply Mixed Number by Whole Number

Multiply Mixed Numbers  by Whole Numbers

Strips- Multiply Mixed Number by Whole Number

Strips- Multiply Fraction by Whole Number

Fading Scaffolding Strips- Multiply Mixed Numbers by Whole Numbers 

Fading Scaffolding Strips- Multiply Unit Fractions by Whole Numbers 

Add and subtract mixed numbers.

Add Mixed Numbers with the Same Denominator

Subtract Mixed Numbers with Denominators that are Multiples of the Same Number

Strips- Adding to a Mixed Number

Convert mixed numbers and improper fractions.

Convert Improper Fractions  to Mixed Numbers

Convert Improper Fractions to Mixed Numbers

Strips- Convert From Improper Fractions to Mixed Numbers 

Convert Mixed Numbers  to Improper Fractions

Strips- Convert From Mixed Numbers to Improper Fractions

Convert From Mixed Numbers to Improper Fractions

Convert Between Mixed Numbers and Improper Fractions

Convert Between Mixed Numbers and Improper Fractions –  Number Lines

Fading Scaffolding Strips- Change Improper Fractions to Mixed Numbers

Fading Scaffolding Strips- Change Mixed Number to Improper Fractions

Fraction challenges.

Adding and Subtracting Fractions Greater Than 1 Grid Challenge

Adding and Subtracting Fractions Grid Challenge

Fractions problem solving.

Multiply Mixed Numbers by Whole Numbers Problem Solving

Fraction reasoning.

Multiply Mixed Numbers by Whole Numbers Reasoning

Add decimals.

Add Decimal Numbers 

Strips- Add Decimal to Whole

Subtract decimals.

Strips- Subtract Decimal Numbers 

Strips- Subtract Decimal from Whole

Faded Scaffolding Strips- Subtract Decimal From Whole 

Add and subtract decimals.

Strips- Add and Subtract Decimal Numbers 

Strips- Add and Subtract Decimals and Whole Numbers 

Rounding decimals.

Faded Scaffolding Strips- Round Decimal Numbers to the Nearest Tenth 

Faded Scaffolding Strips- Round Decimal Numbers to the Nearest Whole Number 

Converting between decimals and fractions.

Faded Scaffolding Strips- Write Decimal Numbers as Fractions

Faded Scaffolding Strips- Write Fractions as Decimals

Strips- Read and Write Fractions as Decimals

Decimal problem solving.

Multiply and Divide by 10, 100 and 1,000 Problem Solving

Decimal reasoning.

Divide by 10, 100 and 1,000 – Reasoning

Multiply and Divide by 10, 100 and 1,000 Reasoning

Percentages, mixed fraction, decimals & percentages.

Strips- Calculate Using Fractions, Decimals and Percentages

Strips- Fraction, Decimal and Percentage Equivalence

Equality and inequality statements.

Equality and Inequality Statement Matching- Decimals 

Equality and Inequality Statement Matching – Multiplying by Known Facts

Can't find what you are looking for.

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

Fractions, Decimals & Percentages

Matching Fractions, Decimals and Percentages

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Repetitiously

Can you express every recurring decimal as a fraction?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

A Chance to Win?

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Peaches Today, Peaches Tomorrow...

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

What do you notice about these families of recurring decimals?

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Fractions and Percentages Card Game

Can you find the pairs that represent the same amount of money?

Fractions, Decimals and Percentages - Short Problems

A collection of short problems on fractions, decimals and percentages.

Terminating or Not

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

Fractions, Decimals and Percentages Practice Questions

Click here for questions, click here for answers, gcse revision cards.

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

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

Y5 Fractions, Decimals and Percent Lesson 19 - Word Problems - Year 5

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

6 September 2023

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

This is a complete lesson pack with high quality resources for Year 5 Fractions, Decimals and Percentages - Word Problems.

This lesson pack includes:

• Differentiated Activity Sheets

The lesson forms a part of a series of lessons on Fractions, Decimals and Percentages . Other lessons in this series are:

• Lesson 1: Equivalent Fractions
• Lesson 2: Compare and Order Fractions
• Lesson 3: Improper Fractions and Mixed Numbers
• Lesson 4: Converting between Improper Fractions and Mixed Numbers
• Lesson 5: Adding Fractions >1
• Lesson 6: Subtracting Fractions >1
• Lesson 7: Adding Fractions (different denominators)
• Lesson 8: Subtracting Fractions (different denominators)
• Lesson 9: Multiplying Fractions by Whole Numbers
• Lesson 10: Multiplying Mixed Numbers by Whole Numbers
• Lesson 11: Tenths and Hundredths
• Lesson 12: Thousandths
• Lesson 13: Rounding Decimals (from 2 d.p.)
• Lesson 14: Comparing Decimals (3 d.p.)
• Lesson 15: Adding Decimals (3 d.p.)
• Lesson 16: Subtracting Decimals (3 d.p.)
• Lesson 17: Percent
• Lesson 18: Equivalent Fractions, Decimals and Percentages
• Lesson 19: Word Problems

You can find the unit bundle here: https://www.tes.com/teaching-resource/resource-12562751

Creative Commons "Sharealike"

Get this resource as part of a bundle and save up to 45%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Y5 Unit Bundle Fractions , Decimals and Percentages- Year 5

This is a complete unit pack with high quality resources for Year 4 Fractions and Decimals. It includes 19 lesson packs covering the following topics: Lesson 1: Equivalent Fractions Lesson 2: Compare and Order Fractions Lesson 3: Improper Fractions and Mixed Numbers Lesson 4: Converting between Improper Fractions and Mixed Numbers Lesson 5: Adding Fractions >1 Lesson 6: Subtracting Fractions >1 Lesson 7: Adding Fractions (different denominators) Lesson 8: Subtracting Fractions (different denominators) Lesson 9: Multiplying Fractions by Whole Numbers Lesson 10: Multiplying Mixed Numbers by Whole Numbers Lesson 11: Tenths and Hundredths Lesson 12: Thousandths Lesson 13: Rounding Decimals (from 2 d.p.) Lesson 14: Comparing Decimals (3 d.p.) Lesson 15: Adding Decimals (3 d.p.) Lesson 16: Subtracting Decimals (3 d.p.) Lesson 17: Percent Lesson 18: Equivalent Fractions, Decimals and Percentages Lesson 19: Word Problems Each lesson pack includes: * PowerPoint Presentation * Differentiated Activity Sheets * Challenge Cards * A4 Poster

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

This resource hasn't been reviewed yet

To ensure quality for our reviews, only customers who have downloaded this resource can review it

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: