Year 5 Fractions (including decimals and percentages)
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Fraction and Decimal Worksheets for Year 5 (age 9-10)
There is certainly a lot of fraction work to cover in Year 5 as the Programme of Study also includes decimals and percentages. Understanding equivalence is still a crucial aspect of this and children will be expected to identify, name and write equivalent fractions of a given fraction (e.g. four sixths is equivalent to two thirds). It is important that children entering Year 5 already have a good understanding of equivalent fractions and some will need to return to earlier work to re-inforce this understanding.
Thousandths will be introduced for the first time, relating them to tenths and hundredths. We have a great selection of pages on thousandths, including writing thousandths as fractions and decimals and putting decimals in order.
A further development in Year 5 is that children will be expected to compare and order fractions whose denominators are all multiples of the same number (e.g. put two thirds, three sixths and five ninths in order by converting all three fractions to ninths).
Mixed numbers and improper fractions are introduced and children will be expected to convert from one form to the other (e.g. writing eight fifths as one whole one and three fifths).
There is much more on adding and subtracting fractions with denominators that are multiples of the same number (e.g. add three fifths and four tenths). Multiplication of proper fractions and mixed numbers by whole numbers is also introduced.
Percentages are covered for the first time; the key to working with percentages is to understand that the word means ‘out of one hundred’ and making the connection between percentages, fractions and decimals (e.g. 50% is fifty hundredths or five tenths and can be written as 0.5).
Certainly a lot to cover, but if children master this they should be able to answer most of the fraction questions that come up in the Year 6 SAT Papers.
Decimal fractions
Using decimal fractions including tenths, hundredths and thousandths.
It is important to be able to say decimal numbers correctly and recognise the value of digits.
Money is an excellent way to work with decimals. Some tricky calculator problems as well.
Bar models to help understanding when working out decimals that total 1 (to 2 decimal places)
Bar models to help understanding when working out decimals that total 1 (to 3 decimal places)
Putting decimals in order, up to thousandths.
Rounding money to the nearest pound.
Rounding decimals to the nearest whole one.
Rounding decimals to the nearest tenth.
More fractions and decimals using thousandths.
Percentages
An introduction to percentages.
Colour the 100 squares to show the correct percentages.
Find the percentages represented on the 100 squares.
Mental addition and subtraction of decimals
Using mental skills to add and subtract decimals. Also see our Year 5 Addition and Subtraction categories for more.
Addition and subtraction of decimals.
Finding change from £50 or £100.
Adding money and then subtracting the answer from £100.
Word problems involving adding and subtracting money.
Word problems involving subtracting money.
Mental multiplication and division of decimals
Multiplying and dividing decimals by 10 and 100.
Equivalent fractions
Exploring and understanding equivalent fractions. Order fractions and solve problems.
Today we are going to look at equivalent fractions again.
Today we are going to find some equivalent fractions.
revise simple equivalent fractions.
Quite a tricky set of questions on equivalent fractions. This is an important concept to understand in order to master fractions.
More equivalent fractions, including fifths, tenths and hundredths.
A quick look at the patterns of equivalent fractions.
Converting fractions to decimals might need the aid of a calculator.
More on equivalent fractions.
A look at some of the patterns arising from converting fractions to decimals.
The easiest way to order fractions is to make sure they all have the same denominator (bottom number).
Knowing multiplication tables really helps with fractions.
Finding fractions of numbers: most of these need to be done in two steps.
Explanations and activities on making fractions by dividing.
Fraction questions in words with full written answers needed.
Improper fractions and mixed numbers
Understanding improper fractions and mixed numbers and converting from one to another.
A look at proper fractions, mixed numbers and improper fractions.
Convert improper fractions to mixed numbers
A variety of activities on adding and subtracting fractions and equivalent fractions.
Harder improper fractions to mixed numbers.
More work on mixed numbers and sequences.
Convert mixed numbers to improper fractions
More converting mixed numbers to improper fractions
Adding and subtracting fractions
Adding and subtracting fractions including fractions with different denominators.
Today we are going to look at adding fractions with different denominators.
Completing fraction sequences by adding on. No need to simplify the fractions.
Completing fraction sequences by counting down.
More adding fractions with the same denominator.
Adding fractions where the denominators are different.
Step by step process for adding a fraction to a mixed number.
More adding fractions to mixed numbers.
Adding three fractions with different denominators.
More practice for adding three fractions with different denominators.
Subtracting fractions where the denominators are the same.
Subtracting fractions with different denominators.
Multiplying fractions
An introduction to multiplying fractions.
Using repeated addition to multiply fractions: a great method!
A first look at multiplying fractions by a whole number.
Using partitioning to multiply mixed numbers.
Tricky little multiplication of fractions challenge which needs a good understanding of equivalent fractions.
The statutory requirements for Fractions (including decimals and percentages) in Year 5.
Using place value charts to help understanding decimals up to two decimal places.
Understanding decimals and place value, including the addition of decimals.
Using place value charts to partition decimal fractions.
A range of activities involving thousandths as decimals and fractions.
Working with simple percentages and converting fractions to percentages.
More on percentages, decimals and fractions.
More on understanding percentages, fractions and decimals.
Working out prices in a 10% sale and finding change in pounds and pence.
Finding percentages of numbers.
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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.
Fractions 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
Multiply Mixed Numbers 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
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
Decimals do now tasks / starters.
Decimal Addition Same DP Do Now Tasks
Decimal Subtraction Different DP Do Now Tasks
Decimal Subtraction Same DP Do Now Tasks
Mixed Decimal Addition and Subtraction Do Now Tasks
Decimal Addition and Subtraction Different DP Do Now Tasks
Decimal Addition and Subtraction Same DP Do Now Tasks
Decimal Addition Different DP Do Now Tasks
Decimal differentiated question sets.
Decimal Addition Question Set
Decimal Subtraction Question Set
Decimal Subtraction Question Set
Subtract a Decimal from a Whole Number Question Set
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
Multiply and Divide by 10, 100 and 1000 Puzzle
Multiply by 10, 100 and 1000 Puzzle
Divide by 10, 100 and 1000 Puzzle
Decimal reasoning.
Divide by 10, 100 and 1,000 – Reasoning
Multiply and Divide by 10, 100 and 1,000 Reasoning
Add Decimal Numbers with the Same DP Reasoning
Add Decimal Numbers with Different DP Reasoning
Subtract Decimal Numbers from Whole Numbers Reasoning
Subtract Decimal Numbers with Different DP Reasoning
Subtract Decimal Numbers with the Same DP 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
Steps to success - fdp.
Add Fractions With a Total Greater Than 1- Steps to Success
Add Fractions Within 1- Steps to Success
Add to a Mixed Number- Steps to Success
Add Two Mixed Numbers- Steps to Success
Compare Fractions Greater than 1- Steps to Success
Compare Fractions Less than 1- Steps to Success
Find a Fraction of an Amount- Steps to Success
Find Equivalent Fractions- Steps to Success
Improper Fractions to Mixed Numbers- Steps to Success
Mixed Numbers to Improper Fractions- Steps to Success
Multiply a Fraction by an Integer- Steps to Success
Multiply a Mixed Number by an Integer- Steps to Success
Order Fractions Greater than 1- Steps to Success
Order Fractions Less than 1- Steps to Success
Subtract Fractions Within 1- Steps to Success
Subtract From a Mixed Number- Break the Whole- Steps to Success
Subtract From a Mixed Number- Convert to Improper- Steps to Success
Subtract Two Mixed Numbers- Break the Whole- Steps to Success
Subtract Two Mixed Numbers- Convert to Improper- Steps to Success
Hinge questions - fdp.
Fractions, Decimal and Percentages- Hinge Questions
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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..
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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 ... Percentages as Fractions and Decimals Percentages as Fractions and Decimals 1a. There are 100 glue sticks in a box. Year 5 takes 20/100 of the glue ...
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 ... Greater Depth Explain who has the largest fraction, decimal or percentage. Includes 5 options and half, quarters, fifths and denominators of a multiple of 5, 10 and 25 ...
Reasoning and Problem Solving Decimals as Fractions 2 Reasoning and Problem Solving Decimals as Fractions 2 Developing 1a. B is the odd one out as all of the others are equivalent to 0.5 or . 2a. Various answers that include words, fractions and maybe expanded forms e.g., 5 tenths and 5 hundredths etc. 3a. Toni is incorrect as 0.65 = . Expected 4a.
Year 5 |Spring Term Week 10 to 11 -Number: Decimals and Percentages Reasoning and Problem Solving Decimals as Fractions (2) 2.25 = 2 ones, 2 tenths, and 5 hundredths Can you write the following numbers in at least three different ways? 23. 7 2.37 9.08 0.98 Sam says, Write two examples of converting fractions to decimals to prove this does
Year 5 fractions, decimals and percentages worksheets and resources. HOME: ABOUT US: SHOP: PRIVACY: CONTACT : Year 1: Year 2: Year 3: Year 4: Year 5: ... and as a decimal: solve problems which require knowing percentage and decimal equivalents of ½, ¼, ⅕, ⅖, ⅘ and those fractions with a denominator of a multiple of 10 or 25. ...
Fraction worksheets for Year 5 covering both fractions and decimal fractions. ... Measuring Statistics (Handling Data) Reasoning/Problem Solving Year 5 Mental Arithmetic Year 5 ... with percentages is to understand that the word means 'out of one hundred' and making the connection between percentages, fractions and decimals (e.g. 50% is ...
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. ... Decimal Problem Solving. Multiply and Divide by 10, 100 and 1,000 Problem Solving. Multiply and Divide by 10 ...
This PowerPoint provides a range of maths mastery activities based around the Year 5 objective "solve problems using decimal and percentage equivalents".Tags in this resource: pizza-2.png ... Fractions, Decimals and Percentages Lesson 3: Converting Fractions to Decimals and Percentages. Fractions, Decimals and Percentages Lesson 1 - KS3 Maths ...
These fabulous teacher-made year 5 percentage, decimals, and fractions problem-solving resources enable pupils to 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.
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. New Maths Curriculum (2014): Year 5 objectives.