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24 Fraction Questions For Year 6 (SATs): Complete With Answers

Emma Johnson

Here are 24 free fractions questions for Year 6, a perfect resource to use with pupils in the run up to the KS2 Maths SATs in May. In addition to the questions, we’ve also included useful background information on the fractions knowledge Year 6 pupils need to acquire by the end of KS2. This includes the key vocabulary, concepts and fraction knowledge from earlier Key Stage 2 year groups.

We’re focusing on fractions here as they are a key component of the National Curriculum and a topic pupils are guaranteed to see multiple times in the end of Key Stage 2 SATS. 

Alongside decimals and percentages, fractions make up the third highest content domain across the arithmetic and reasoning papers.

SATs 2023 question breakdown of all 3 papers

This article is one of a series providing teachers with a bank of hundreds of SATs questions for Year 6 that they can continue to refer back to through the year.

What do Year 6 pupils need to know about fractions? 

Throughout Key Stage 2, pupils cover a substantial amount of work on fractions. In Year 6, pupils continue to build on this knowledge from previous years, helping them to become proficient in the end of KS2 fractions standards. 

National Curriculum expectations for fractions in KS2 maths: 

In Year 3 pupils learn to:

  • Recognise unit and non-unit fractions
  • Identify equivalent fractions 
  • Order and compare fractions 
  • Add and subtract fractions with the same denominator

In Year 4 pupils learn to: 

  • Build on their understanding of equivalent fractions 
  • Continue adding and subtracting fractions with the same denominator
  • Count in tenths and hundredths

In Year 5 pupils learn to: 

  • Compare and order fractions with different denominators
  • Add and subtract fractions with different denominators
  • Convert between improper fractions and mixed numbers
  • Begin to multiply fractions and mixed numbers 
  • Explore relationships between equivalent fractions, decimals and percentages

By the time students reach Year 6, the expectation is that students will have a secure understanding of fractions. 

Considerable exposure to concrete resources and visual images should ensure they have a good conceptual understanding of fractions. 

In Year 6 pupils learn to: 

  • Build on knowledge developed throughout KS2
  • Be confident adding subtracting, multiplying and dividing fractions and simplifying their final answer
  • Calculate equivalent fractions, decimals and percentages

200 arithmetic and reasoning questions for Year 6

200 arithmetic and reasoning questions for Year 6

Download 100 free arithmetic questions and 100 free reasoning questions for Year 6. Includes answers and mark scheme.

Thousands of pupils develop their fractions knowledge and understanding every week through our one to one online maths lessons. Our maths experts have developed hundreds of fraction questions for pupils to work through step by step with their tutor to build confidence. Try the one to one maths fraction lessons for yourself in this free downloadable SATs intervention pack .

What fractions questions appear in the KS2 SATs?

Predominantly, the KS2 SATs arithmetic paper consists of fluency style fraction questions. Reasoning Paper 2 and Paper 3 are made up of more word problem style questions. 

Children can expect to answer questions on the four operations and fractions. Often, these question types increase in levels of difficulty throughout the paper.

For example, in the 2023 arithmetic paper, children were given three adding fractions questions. The first question required pupils to add fractions within 1 while the second question asked Year 6 pupils to add 3 fractions within 1. The third fractions question required pupils to add 3 fractions with a total greater than 1.

Fractions question difficult in the 2023 KS2 SATs

Fractions questions included in this article cover simple fractions questions and become increasingly harder. 

Questions begin with fluency skills and progress to questions involving reasoning and problem solving.

Key Year 6 fractions terminology needed for these questions

Pupils should have a strong understanding of key fractions terminology by the time they reach Year 6.

Here are some of the key terms children should have a secure understanding of:

  • Denominato r: The bottom number of a fraction. This tells us how many equal parts make up a whole.
  • Numerator : The top number of a fraction. This tells us how many equal parts of the whole are being considered.
  • Unit fraction : A fraction with a numerator of 1.
  • Non-unit fraction : A fraction with a numerator greater than 1.
  • Whole number : An integer, that isn’t a fraction or a decimal. Whole numbers can be expressed as a fraction by placing the whole number in place of the numerator and a 1 in place of the denominator.
  • Decimal: Another representation of a fraction. The digits to the left of the decimal point represent the whole number and the digits after the decimal point indicate the fraction of the whole number. For example, 2.14
  • Improper fractions: Fractions with a numerator greater than the denominator. These fractions have a total value of more than one whole.  For example, \frac{13}{4}
  • Mixed numbers : A combination of a whole number and a fraction. When a number is greater than one whole, it can be written as either an improper fraction or a mixed number.  For example, 1 \frac{2}{3} = \frac{5}{3}  
  • Equivalent fractions : Fractions that represent the same value but have a different numerator and denominator. For example, \frac{3}{4} = \frac{9}{12}  
  • Multiples and factors: These refer to the common divisors and multiples of the numerator and denominator. 
  • Highest common factor (HCF) is the largest number that the numerator and denominator can be divided by.  For example, \frac{6}{12} both 6 and 12 can be divided by 6
  • Lowest common multiple (LCM) is the smallest number that both numbers are factors of. For example, \frac{2}{4} both 2 and 4 are factors of 4
  • Common denominator: The shared multiple of the denominators of two or more fractions. For example, \frac{3}{4} and \frac{2}{6} share a common denominator of 12
  • Simplify fractions: When fractions are reduced to their lowest and simplest form.  For example, \frac{4}{20} can be simplified to \frac{1}{5}

24 fractions questions for Year 6 

Fraction questions for year 6: comparing and ordering.

Fraction question 1

Compare the following pairs of fractions and put the > , < or = symbol between each pair: 

\frac{5}{8}   \frac{3}{4}

\frac{2}{3}     \frac{5}{12}

\frac{7}{10}     \frac{3}{5}

\frac{5}{8}   < \frac{3}{4}

\frac{2}{3}   >  \frac{5}{12}

\frac{7}{10} > \frac{3}{5}

\frac{3}{4} = \frac{6}{8}

\frac{2}{3} = \frac{8}{12}

\frac{3}{5} = \frac{6}{10}

Fraction question 2

Order the following fractions from smallest to biggest:

\frac{2}{5} \frac{2}{3} \frac{2}{6} \frac{2}{4} \frac{2}{10}

Answer: \frac{2}{10} \frac{2}{6} \frac{2}{5} \frac{2}{4} \frac{2}{3}

Fraction question 3

Re-arrange the following fractions from greatest to smallest

\frac{4}{6}   \frac{1}{3}     \frac{7}{12}

Answer: \frac{4}{6}   \frac{7}{12}   \frac{1}{3}

\frac{4}{6} = \frac{8}{12}

\frac{1}{3} = \frac{4}{12}

\frac{7}{12} = \frac{7}{12}

Fraction question 4

Hamza ate \frac{3}{5} of his bag of 50 sweets, Jack ate \frac{4}{10} of his bag of 50 sweets. Who ate the most sweets:

Answer: Hamza

\frac{6}{10} is greater than \frac{4}{10}

Fraction question 5

Sophie, Ben and Alice were taking part in a running competition. With 10 minutes to go, Sophie had completed \frac{4}{5} of the route, Ben had completed katex]\frac{5}{6}[/katex] and Alice had completed \frac{2}{3} . Order them from 1-3, with the person who had run the most at the top.

Answer: 1st: Ben, 2nd: Sophie, 3rd: Alice

Sophie \frac{4}{5} = 2 \frac{24}{30}

Ben \frac{5}{6} = \frac{25}{30}

Alice \frac{2}{3} = \frac{20}{30}

Fraction question 6

Chloe, Ahmed and Mason have each ordered a pizza. Chloe ate \frac{3}{8} of her pizza, Ahmed ate \frac{5}{12} of his and Mason ate \frac{2}{6} . Who ate the most pizza? Order them from 1 to 3.

Answer: Ahmed at the most, followed by Chloe, then Mason ate the least.

Chloe: \frac{3}{8} = \frac{9}{24}

Ahmed: \frac{5}{12} = \frac{10}{24}

Mason: \frac{2}{6} = \frac{8}{24}

Fraction questions for Year 6: four operations with fractions  

Fraction question 7

\frac{3}{8} + \frac{2}{4} =

Answer: \frac{7}{8}

\frac{3}{8} + \frac{4}{8} = \frac{7}{8}

Fraction question 8

\frac{9}{12} – \frac{1}{3} =

Answer : \frac{5}{12}

\frac{9}{12} – \frac{4}{12} = \frac{5}{12}

Fraction question 9

\frac{3}{5} x 7 =

Answer : 4 \frac{1}{5}

\frac{3}{5} x 7 = \frac{21}{5} = 4 \frac{1}{5}

Fraction question 10

\frac{12}{17} ÷ 3 =

Answer : \frac{4}{17}

Fraction question 11

\frac{7}{12} ÷ 4 =

Answer : \frac{7}{48}

\frac{7}{12} ÷ 4 = \frac{1}{4} of \frac{7}{12}

\frac{1}{4} x \frac{7}{12} = \frac{7}{48}

Fraction question 12

Masie, Chloe and Jess are sharing some pizzas. Maisie eats \frac{5}{8} of a pizza, Chloe eats \frac{3}{8} and Jess eats \frac{6}{8} . How much pizza have they eaten altogether?

Answer : 1 \frac{6}{8} or 1 \frac{3}{4}

\frac{5}{8} + \frac{3}{8} + \frac{6}{8} = \frac{14}{8} = 1 \frac{6}{8}

Fraction question 13

4 friends have 3 \frac{1}{5} pizzas to share between them. If they share it equally, how much pizza will each of the friends receive?

Answer : \frac{4}{5} of a pizza

3 \frac{1}{5} = \frac{16}{5}

\frac{16}{5} ÷ 4 = \frac{4}{5}

Fraction question 14

Adam is baking some cooking. He needs \frac{3}{4} of a cup of sugar to make 10 cookies. If he wants to bake 60 cookies, how many cups of sugar will he need?

Answer : 4 \frac{1}{2} cups

\frac{3}{4} x 6 = \frac{18}{4} = 4 \frac{2}{4} = 4 \frac{1}{2}

Fraction questions for Year 6: fractions, decimals and percentages 

Fraction question 15

Order the following from smallest to largest:

35%, 0.3,  \frac{34}{100}

Answer : 0.3, \frac{34}{100} , 35%

35% = \frac{35}{100}

0.3 = \frac{30}{100}

Fraction question 16

Circle three numbers which add up to 1:

0.5   15%   \frac{1}{4}   10%   0.2   \frac{7}{10}

Answer : \frac{7}{10} 0.2 10%

0.2 = \frac{2}{10}

10% = \frac{1}{10}

Fraction question 17

Which of the following are equivalent to 20%?

0.02   \frac{40}{200}   \frac{10}{50}   0.2   \frac{2}{10}   0.22   \frac{40}{100}   \frac{2}{5}

Answer : \frac{40}{200}   \frac{10}{50}   0.2   \frac{2}{10}

Fraction question 18

 What is 35% of 240?

Answer : 84

Fraction question 19

Sam, Amy and Lucy have raised £560 in a sponsored swim.

Sam raised \frac{3}{8} of the total

Amy raised 30% of the total.

How much did Lucy raise?

Answer: £182

Sam: \frac{3}{8} of 560 = £210

Amy: 30% of 560 = £168

£210 + £168 = £378

Lucy raised £560 – £378 = £182

Fraction question 20

There are 60 sweets in a bag. The sweets are red, orange or yellow.

\frac{5}{12} of the sweets are red

40% are orange.

How many are yellow?

Answer : 11 yellow sweets

\frac{5}{12} of 60 = 25

40% of 60 = 24

15 + 24 = 49

60 – 49 = 11

Fraction questions for Year 6: fraction word problems

Fraction question 21

Max has 150 pages in his book. He has read \frac{3}{5} of the book. How many pages does he have left to read?

Answer : 60 pages left to read.

\frac{1}{5} of 150 = 30

\frac{2}{5} of 150 = 60

Fraction question 22

Sienna has half of a pizza left. She cuts the half a pizza into 4 equal sized pieces. What fraction is each piece?

Answer : \frac{1}{8}

\frac{1}{2} ÷ 4 = \frac{1}{8}

Fraction question 23

8 friends share some pizzas equally. Each person is given \frac{5}{8} of a pizza. How much pizza did the eat altogether?

Answer : 5 pizzas

\frac{5}{8} x 8 = \frac{40}{8} = 5

Fraction question 24

Oliver had some birthday money to buy some clothes. He spent \frac{1}{5} of the money on a T-shirt, \frac{1}{4} on a hoodie and \frac{1}{2} on jeans. If he spent £12.50 on the hoodie, how much did he have left after his shopping trip?

Answer : £2.50

\frac{1}{4} = £12.50

Total = £50 

\frac{1}{5} = £10

\frac{1}{2} = £25

Total spent = £12.50 + £10 + £25 = £47.50

£50 – £47.50 = £2.50

More fraction questions for Year 6 

  • Fractions Intervention Pack
  • Fractions, Decimals and Percentages SATs Assessment Pack
  • Year 6 Equivalent Fractions, Decimals and Percentages Worksheet
  • Year 6 Ordering Fractions, Decimals and Percentages Worksheet
  • Year 6 algebra questions
  • Year 6 ratio questions

Fractions are a very abstract concept, which many children can find difficult. The best way to teach fractions is through the use of manipulatives and visual images, such as fraction circles, fraction cubes, fraction walls and number lines. Once children are secure using the practical and visual aids, they can progress to more abstract work. Children should also work to ensure they are confident with the times tables, which will make life easier when working on more challenging fractions questions.

Children should be introduced to fractions through the use of concrete resources, such as fraction cubes and circles. These can be used for a whole range of topics including, equivalent fractions and to add, subtract, multiply, divide, order and compare fractions. Once secure, children can use visual images to continue to focus on the conceptual understanding, before moving on to more abstract work.

Children should be secure in fluency style questions, using both concrete resources and visual images, before progressing onto more abstract work, reasoning, and problem solving questions in different contexts.

Fractions are an essential skill required throughout day to day life. Securing the fundamental concepts of fractions, decimals and percentages in Year 6 allows pupils to tackle more challenging concepts when learning more difficult fractions for GCSE and beyond. Use these 24 fraction questions for KS2 to GCSE to help prepare pupils when they encounter fractions in real life.

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FREE KS2 Maths SATs Practice Papers (Set of 6)

Get ready for KS2 SATs tests with this set of 6 maths SATs practice papers.

Includes 2 Arithmetic and 4 Reasoning Papers, with mark schemes and answer booklets, that follow the National Curriculum Assessments.

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Add & Subtract Fractions for Grade 6

Fractions worksheet.

These grade 6 fractions worksheets focus on adding and subtracting fractions and mixed numbers with unlike denominators .  All worksheets are pdf files and answer keys follow the questions on a separate page.

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Sample Grade 6 Fraction Addition Worksheet

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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  • 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 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

  • know and use Place value up to 10 million
  • Counting on and back in steps of powers of 10 from any number up to 10 million
  • Round numbers to any given degree of accuracy.
  • Count forwards and backwards through zero with positive and negative numbers.
  • Read Roman numerals to 1000 and recognise years written in Roman numerals
  • solve multi-step problems using addition and subtraction in a range of contexts
  • identify multiples and factors including common factors
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  • Use their knowledge of the order of operations to carry out calculations involving the four operations.
  • Identify common factors, common multiples and prime numbers.
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  • simplify fractions
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  • recall and use equivalence between simple fractions, decimals and percentages.
  • Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
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Please note:

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Year 6 is generally equivalent to 5th Grade in the US.

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Year 6 number worksheets.

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Using these Year 6 maths worksheets will help your child to:

  • use place value with numbers up to 10 million;
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  • extend their knowlege of multiplication to decimals;
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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 ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

  • compare and order fractions;
  • add and subtract fractions and mixed numbers;
  • understand how to multiply fractions by a whole number;
  • understand how to multiply two fractions together, including mixed fractions;
  • understand the relationship between fractions and division;
  • know how to divide fractions and mixed fractions;
  • convert decimals to fractions.
  • Comparing Fractions Worksheet page
  • Adding Fractions Worksheets
  • Adding Improper Fractions
  • Subtracting Fractions Worksheets
  • Adding Subtracting Fractions Worksheets
  • Improper Fraction Worksheets
  • Converting Decimals to Fractions Worksheets
  • Fractions Decimals Percents Worksheets
  • Multiplying Fractions Worksheets
  • Dividing Fractions by Whole numbers
  • Divide Whole numbers by Fractions
  • Simplifying Fractions Worksheets
  • 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.

  • Percentage of Numbers Worksheets
  • Money Percentage Worksheets
  • Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

  • Ratio Part to Part Worksheets
  • Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

  • know how to find missing angles in a range of situations;
  • learn the number of degrees in a right angle, straight line, around a point and in a triangle;
  • know how to calculate the area of a triangle;
  • know how to calculate the area of a range of quadrilaterals.
  • learn the formulas to calculate the area of triangles and some quadrilaterals;
  • write and plot coordinates in all 4 quadrants.
  • (5th Grade) Geometry - Angles
  • Area of Quadrilaterals
  • 5th Grade Volume Worksheets
  • Coordinate Worksheets (1st Quadrant)
  • Coordinate Plane Worksheets (All 4 Quadrants)
  • Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

  • learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
  • learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
  • learn how to estimate a measurement of length, weight or liquid;
  • convert temperatures in Celsius and Fahrenheit.
  • (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

  • Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

  • find the mean of up to 5 numbers;
  • find a missing data point when the mean is given.
  • Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

  • Year 6 Math Games (5th Grade)

Year 6 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.

  • Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 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 6 Maths Games Ebook

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subtracting fractions problem solving year 6

Compare and order fractions

Your child will compare fractions and put them in size order.

They will be able to do this with proper fractions (i.e. fractions less than one) and fractions that are greater than one (i.e. improper fractions or mixed numbers ). For example:

 is greater than   is greater than 

Calculate with mixed numbers and fractions with different denominators

Your child will learn to add and subtract fractions with different denominators  (bottom numbers). They will do this by finding equivalent fractions that have the same denominator. For example:

 +   =   +   = 

1/2

They will use objects, diagrams, and symbols to solve problems with mixed numbers and fractions, and to explain how they have solved a problem.

Multiply and simplify proper fractions

Your child will be able to multiply pairs of proper fractions (i.e. fractions smaller than 1) together, and then write the answer in its simplest form.

 ×   =   = 

Your child will use objects, diagrams, and symbols in their calculations.

Divide proper fractions by whole numbers

Proper fractions are fractions with a value of less than 1. Your child will be able to divide these kinds of fractions by whole numbers. For example:

Your child will do this using objects, diagrams, and symbols.

Understand the link between fractions, division, and decimals

To find    of 36cm, you would divide 36 by 4 (36cm ÷ 4 = 9 cm).   If you know  of an unknown length is 36cm and you want to find the whole length, you would multiply 36 by 4 (36cm × 4 = 144cm).

3/8

Use numbers with 3 decimal places

Your child will understand the value of each digit in numbers with 3 decimal places. They will also be able to multiply and divide numbers by 10, 100, and 1000, giving answers up to 3 decimal places. For example:

9 ÷ 1000 = 0.009   0·734 × 100 = 73.4

Your child will divide decimal numbers by 1-digit whole numbers. At first, they will learn this in practical contexts involving measures and money (for example, 0.65m ÷ 5 = 0.13m).

Multiply numbers with decimal places

Your child will learn to multiply 1-digit numbers with up to 2 decimal places by whole numbers. For example:

2.75 × 2 = 5.5

They will start with simple examples, such as 0.4 × 2 = 0.8, in practical contexts such as using money.

Use written division methods where appropriate

Your child will use written division methods (like long division and short division) in cases where the answer has up to 2 decimal places. You can find out more about these methods on our YouTube channel: see How to do long division and How to do short division .

Round numbers to estimate answers

Your child will round numbers and estimate answers to check their answers to decimal calculations. For example:

2.56 × 5.3 ≈ 2.5 × 5 = 12.5   So, when your child works out the question exactly, they will expect their result to be roughly 12.5. If they get an answer like 1350, they will know something has gone wrong!

Use equivalences between simple fractions, decimals, and percentages

1/2

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. Help your child calculate with fractions

1/5

They could separate the whole numbers and the fractional parts:

First, add the whole numbers: 3 + 2 = 5.   Then, add the fractional parts:  +   =  .   Finally, add the whole number and fractional parts together to create a mixed number: 5 .

They could turn each mixed number into an improper fraction, then add the improper fractions together, and finally convert the answer back into a mixed number:

First, convert 3   into an improper fraction:  .   Then, convert 2   into an improper fraction:  .   Then, add the improper fractions together:    +      =   .   Finally, turn the answer back into a mixed number:    = 5   .

The same strategies can be applied to subtracting fractions using mixed numbers.

2. Multiply and divide with fractions

1/4

In this example, the half is shown on the left by splitting the shape vertically into two equal pieces. The same shape will then be drawn to represent quarters , this time split horizontally into four equal pieces. The diagrams will then be added together to divide the shape into eighths:

subtracting fractions problem solving year 6

The answer can be found where the half and the quarter overlap to make one eighth :

subtracting fractions problem solving year 6

Fraction Calculations in School

Pizza fractions

3. Calculate with decimals

Your child will continue to practise adding and subtracting with decimal numbers up to 3 decimal places. They will have to understand the effect of multiplying and dividing decimal numbers by 10, 100, 1000, and so on.

Place value charts are a great way to visualise these changes:

subtracting fractions problem solving year 6

Help your child to understand that dividing by 10 means getting ten times smaller, dividing by 100 means getting a hundred times smaller, and so on. The same concept applies to multiplication, but the other way around.

Calculate with numbers that have 3 decimal places in the real world. For example, when you fill the car with petrol, ask your child to tell you what the number is by explaining how many tenths, hundredths, or thousandths it has. Can they round the total price or the total amount of petrol to the nearest whole number, tenth, or hundredth? For example:

If you have 56.784 litres of petrol, you could round to the nearest litre (57L), tenth (56.8L), or hundredth (56.78L).

Money and measures are great for practising using numbers with 2 decimal places. You could show your child your shopping receipt with the total hidden. Ask your child to work out the total cost of the shopping receipt. How much change you would be given if you paid using, for instance, a £10 note?

4. Link fractions, decimals, and percentages

It is important your child understands that decimals and percentages are just other ways to show fractions.

Fraction, Decimal, and Percentage Treasure Hunt

subtracting fractions problem solving year 6

Practise matching percentages, decimals, and fractions on a fun treasure hunt.

5. Multiply fractions and mixed numbers by whole numbers

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

1/4

6. Percentages

Your child will continue to work with percentages. Talk about how ‘percent’ means ‘number of parts per hundred’.

55/100

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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Subtracting Fractions Lesson

This Year 6 Subtracting Fractions lesson covers the prior learning of subtracting proper fractions from mixed numbers where the denominators are direct multiples of one another, before moving onto the main skill of subtracting two mixed numbers where the denominators are not direct multiples.

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 6: (6F4) Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

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Lesson Slides

Lesson Slides

These lesson slides guides pupils through the prior learning of subtracting proper fractions from mixed numbers where the denominators are direct multiples of one another, before moving onto the main skill of subtracting fractions. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

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.

Lesson Slides

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

Worksheet

2 Varied Fluency

Worksheet

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

Interactive Activity

Interactive Activity

This Year 6 Subtracting Fractions Game has been designed to check and consolidate pupils’ understanding of subtracting fractions and mixed numbers.

2 Application

Worksheet

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

Mixed Practice

Mixed Practice

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

Worksheet

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

Discussion Problem

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.

Challenge Activity

Challenge Activity

This Year 6 Subtracting Fractions Maths Challenge is designed to check pupils’ understanding of subtracting two mixed numbers where the denominators are not direct multiples of one another.

Worksheet

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

2 Additional Activities

Home Learning Pack

Home Learning Pack

This Autumn week 9 Maths pack contains varied fluency, reasoning and problem solving worksheets.

Learning Video Clip

Learning Video Clip

Roman, Rae and Trig find themselves in the study, where they’ll need to keep their wits about them whilst using their knowledge of subtraction fractions to find a secret passage…

Consolidation Pack

Consolidation Pack

This Fractions Consolidation Year 6 pack has been designed to give children the opportunity to consolidate skills learned.

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Fraction word problems for year 6

Year 6 fraction word problems

A fraction word problems worksheet for year 6. Children are asked to simplify fractions, to add and subtract fractions, to multiply fractions, to divide fractions and to solve problems to find fractions of amounts. Calculations feature proper fractions and include those with different denominators

This one-page problem solving maths worksheet is linked to national curriculum objectives and is ideal for classroom and home learning. Answers are included.

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Fractions — Subtract Mixed Numbers: Problem Solving (Year 6)

Fractions — Subtract Mixed Numbers: Problem Solving (Year 6)

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Use this worksheet to help children develop confidence in subtracting mixed numbers. They can look at the 2 different method examples to help them before completing the variety of questions using the different methods.

Answers are provided with this resource.

  • Key Stage: Key Stage 2
  • Subject: Maths
  • Topic: Fraction Calculations
  • Topic Group: Fractions, Decimals and Percentages
  • Year(s): Year 6
  • Media Type: PDF
  • Resource Type: Worksheet
  • Last Updated: 23/11/2023
  • Resource Code: M2WAT14776
  • Curriculum Point(s): Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.

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Fraction word problems.  Years 5-6

Fraction word problems. Years 5-6

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

stjoclark

Last updated

18 August 2019

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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.

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  1. Year 6 Subtracting Fractions Multiplication and Division Reasoning and

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VIDEO

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COMMENTS

  1. 24 Fraction Questions for Year 6 (SATs): Complete With Answers

    Add and subtract fractions with the same denominator; ... Questions begin with fluency skills and progress to questions involving reasoning and problem solving. Key Year 6 fractions terminology needed for these questions. ... Fraction questions for Year 6: fraction word problems. Fraction question 21. Max has 150 pages in his book. He has read ...

  2. PDF Year 6 Add and Subtract Fractions 1 Reasoning and Problem Solving

    National Curriculum Objectives: Mathematics Year 6: (6F2) Use common factors to simplify fractions; use common multiples to express fractions in the same denomination Mathematics Year 6: (6F4) Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions Mathematics Year 6: (6F11) Recall and ...

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    Fractions worksheet. These grade 6 fractions worksheets focus on adding and subtracting fractions and mixed numbers with unlike denominators. All worksheets are pdf files and answer keys follow the questions on a separate page.

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  5. Mastery Fractions Worksheets

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  8. PDF Year 6 Subtracting Fractions Reasoning and Problem Solving

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  9. Year 6 Fractions Worksheet

    This Year 6 fractions worksheet is perfect for teaching your students how to subtract fractions.The resource meets the curriculum objective to add and subtract fractions with different denominators and require students to alter fractions so that they have the same denominator. The lowest common denominator is provided for each question.This year 6 fractions worksheet is ideal for tracking ...

  10. Addition and subtraction of fractions year 6

    Add the whole numbers together first, then add the fractions together. When you have done that you should find the answer is 3 5/8. You can use the same method for calculating a subtraction problem. Use this resource pack to teach kids in year 6 addition and subtraction of fractions. The above video may be from a third-party source.

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    Fractions in Year 6 (age 10-11) In Year 6, your child will solve lots of problems involving fractions, decimals, and percentages. They will simplify fractions using common factors and will practise multiplying fractions. The key words for this section are common factor, numerator , denominator , improper fraction, and mixed number.

  12. PDF Year 6 Add and Subtract Fractions 2 Reasoning and Problem Solving

    Mathematics Year 6: (6F2) Use common factors to simplify fractions; use common multiples to express fractions in the same denomination Mathematics Year 6: (6F4) Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions Mathematics Year 6: (6F11) Recall and use equivalences between simple ...

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    Add and Subtract Fractions (Year 6) Children can practise adding and subtracting fractions with this worksheet. Calculations involve adding and subtracting fractions with the same denominator, with different denominators and with mixed numbers. Answers are provided.

  14. Year 6 Subtracting Fractions Lesson

    Worksheet. This Year 6 Subtracting Fractions lesson covers the prior learning of subtracting proper fractions from mixed numbers where the denominators are direct multiples of one another, before moving onto the main skill of subtracting two mixed numbers where the denominators are not direct multiples. Login to download.

  15. Fraction word problems for year 6

    A fraction word problems worksheet for year 6. Children are asked to simplify fractions, to add and subtract fractions, to multiply fractions, to divide fractions and to solve problems to find fractions of amounts. Calculations feature proper fractions and include those with different denominators. This one-page problem solving maths worksheet ...

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    Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators. Solution: Answer: The warehouse has 21 and one-half meters of tape in all. Example 8: An electrician has three and seven-sixteenths cm of wire. He needs only two and five-eighths cm of wire for a job.

  17. Fractions

    Fractions — Subtract Mixed Numbers: Problem Solving (Year 6) Use this worksheet to help children develop confidence in subtracting mixed numbers. They can look at the 2 different method examples to help them before completing the variety of questions using the different methods. Answers are provided with this resource.

  18. Year 6 White Rose Compatible Add and Subtract Fractions

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