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?
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Year 5 - Number
Standard 5.NS.1.4 - Solve fraction addition word problems.
Included Skills:
Number - fractions (including decimals and percentages) • Pupils should be taught to: - compare and order fractions whose denominators are all multiples of the same number - identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths - recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5] - add and subtract fractions with the same denominator and denominators that are multiples of the same number - multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams - read and write decimal numbers as fractions [for example, 0.71 = 10071] - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents - round decimals with two decimal places to the nearest whole number and to one decimal place - read, write, order and compare numbers with up to three decimal places - solve problems involving number up to three decimal places - 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 - 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.
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Adding and Subtracting Fraction Word Problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
16 June 2015
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Helpful sheet for practicing wordy fraction questions. Answers can sometimes be simplified further.
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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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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 ...
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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.
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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.
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- Year 5 Place Value up to 6 digits
- Comparing and Ordering Whole Numbers up to 6 Digits
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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
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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)
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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 (£ )
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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
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- Multiplying Decimals by 10 and 100
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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.
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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.
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These sheets involve solving many 'real-life' problems involving data.
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These sheets involve solving a range of multiplciation problems.
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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.
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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
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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
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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
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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.
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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
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Add Fractions Lesson
This Year 5 Add Fractions lesson covers the prior learning of adding 2 or more fractions, before moving onto the main skill of adding fractions.
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: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ] Mathematics Year 5: (5F4) Add and subtract fractions with the same denominator and denominators that are multiples of the same number
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Lesson Slides
These lesson slides guides pupils through the prior learning of adding 2 or more fractions, before moving onto the main skill of add fractions. 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.
1 Prior Learning
Video Tutorial
Laura uses practical methods to demonstrate addition in this Add 2 or More Fractions Video Tutorial. She uses key terminology including numerator and denominator.
Interactive Activity
This Year 4 Add 2 or More Fractions Game checks pupils' understanding of adding 2 or more fractions together where the denominators are the same.
2 Varied Fluency
This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.
Interactive Animation Activity
This Add Fractions Interactive Animation supports pupils’ understanding of adding more than 2 fractions. Children are asked interactive questions throughout the animation.
2 Reasoning & Problem Solving
Mixed Practice
This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of add fractions.
This add fractions extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the add fractions lesson.
This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.
Discussion Problem
This worksheet 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 Add Fractions Maths Challenge is designed to check pupils understanding of adding fractions within a problem solving context.
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 Fractions 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 2.
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IMAGES
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Denominators share a common factor. Questions 2, 5 and 8 (Problem Solving) Developing Work out the missing fraction from the word problem when given one part of a fraction addition and the answer. Denominators are all double or half of one another. Expected Work out the missing fraction from the word problem when given one part of a fraction ...
Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ] Mathematics Year 5: (5F4) Add and subtract fractions with the same denominator and denominators that are multiples of the same number.
Reasoning and Problem Solving - Add and Subtract Fractions - Year 5 Developing. 4a.Sara is finding the missing numerator in the following calculation: 15 - = 5. 9 9 9. I think the missing numerator must be 4. E. 4b. Ted is finding the missing numerator in. 6 = 1 4.
The adding fractions worksheets are with answers, so you can quickly check children's work. Click on More Downloads to find the answer sheet as a separate file. This resource perfectly complements the White Rose Maths Spring block 'Fractions' small step 'Add Fractions within 1' and is ideal to be sent home digitally for remote learning.
Are you looking for resources that are perfect for supporting Year 5 Step 11: Add Fractions with Total Greater than 1 from White Rose's Fraction unit Version 3.0? This Diving into Mastery resource from Twinkl is the perfect resource for you. It has been written to complement step 11 and contains a range of fluency, reasoning and problem-solving questions, using a variety of visual ...
A couple of fraction word problems for Year 5 pupils: Olivia went out for a walk. She walked 2 and 3/4 miles and then sat down to take a rest. Then she walked 1 and 1/8 miles. How far did she walk altogether? At a class party, 3/8 of a vegetarian pizza and 1/4 of a meat pizza were eaten.
About This Resource. This resource is aimed at Year 5 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Spring Block 2 Fractions. The questions are based on a selection of the same 'small steps' that are addressed in the block, but are presented in a different way so children can ...
In Year 5, your child will solve addition and subtraction problems involving numbers with up to 3 decimal places. These problems will include a mix of whole numbers and decimals, numbers with different numbers of decimal places, and complements of 1. Complements of 1 are numbers that add up to 1 (for example, 0.83 + 0.17 = 1).
Year 5 - Number. Standard 5.NS.1.4 - Solve fraction addition word problems.. Included Skills: Number - fractions (including decimals and percentages) • Pupils should be taught to:-compare and order fractions whose denominators are all multiples of the same number-identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths-recognise ...
Questions 1, 4 and 7 (Problem Solving) Developing Use the number cards to complete the statement. Includes 2 missing numbers and unit fractions only. Expected Use the number cards to complete the statement. Includes 4 missing numbers and non-unit fractions only. Greater Depth Use the number cards to complete the statement.
Reasoning and Problem Solving Add and Subtract Fractions Reasoning and Problem Solving Add and Subtract Fractions Developing 1a. Mel is incorrect as the missing numerator is 2. 2a. A) <, B) = 3a. Any combination where the numerator totals 5 e.g. Expected 4a. Sara is incorrect as the missing numerator is 3. 5a. A) =, B) < 6a. Any combination ...
Years 5-6. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 16.9 KB. These worksheets consist of two sets of word problems, one limited to halves and quarters. The other includes fifths, sixths and eighths. They are aimed at years 5-6 and include the answers.
This fantastic teaching resource has been created to support the White Rose Maths 3.0 scheme of learning for Year 5 Autumn Term Block 4 Small Step 9: Add and Subtract Fractions with the Same Denominator. It includes a user-friendly PowerPoint presentation with a variety of activities to develop fluency, reasoning, and problem-solving skills, as well as accompanying worksheets that are perfect ...
Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 18.11 KB. Here are some word-based questions for solving problems involving the addition and subtraction of fractions. Feedback greatly appreciated! Creative Commons "Sharealike". See more.
Use these adding fractions word problems worksheets to help your Year 5 Maths students develop their ability in interpreting word problems that involve adding and subtracting fractions. These adding fractions word problems worksheets cover the following: This resource comes with three different versions of adding fractions word problems ...
Year 5 KS2 Maths Fractions learning resources for adults, children, parents and teachers. ... Have a go at adding and subtracting fractions with matching and different denominators.
Fractions and Decimals Primary Resources. Year 5 Diving into Mastery: Step 1 Decimals up to 2 Decimal Places Teaching Pack. 4.7 (7 Reviews) Year 5 Diving into Mastery: Step 7 Use Fractions as Operators. 4.5 (2 Reviews) Year 5 Maths Rounding Decimals to the Nearest Whole Number Mastery Worksheets.
Make adding and subtracting fractions easy with this Year 5 worksheet. Use these differentiated worksheets to help children develop their understanding of adding and subtracting fractions with denominators that are multiples. Each worksheet includes a challenge to help deepen children's understanding and problem-solving skills.
This may seem like a tricky problem-solving question for around year 5 standard but once you see the bar model approach to solving the question, you will thi...
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.
This Year 5 Add Fractions lesson covers the prior learning of adding 2 or more fractions, before moving onto the main skill of adding fractions. ... 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. Login to download.
Questions 1, 4 and 7 (Problem Solving) Developing Arrange the digit cards to complete the fractions in the subtraction number sentence where the denominator is double or half of the starting fraction. Expected Arrange the digit cards to find the missing fractions in the subtraction number sentence where the denominators are direct multiples of ...