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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.

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? 

What fractions questions appear in the ks2 sats, key year 6 fractions terminology needed for these questions, fraction questions for year 6: comparing and ordering, fraction questions for year 6: four operations with fractions  , fraction questions for year 6: fractions, decimals and percentages , fraction questions for year 6: fraction word problems, more fraction questions for year 6 .

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

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 .

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 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.

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 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 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 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 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

• 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.

Do you have pupils who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of pupils across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress. Since 2013 we’ve helped over 162,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Personalised one to one maths tutoring to help Year 6 pupils build confidence and familiarity with SATs-style questions.

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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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Welcome to our Fraction Number Line Worksheets.

We have a range of number line resources, including support sheets and worksheets to help your child understand how to place fractions on a number line and understand fraction equivalence.

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Fraction number line, number line fraction resources.

Here you will find a selection of printable Fraction lines designed to help your child understand visually how much fractions are worth.

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Here you will find a selection of free fraction worksheets designed to help your child understand the value of fractions.

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Often when we are talking about and using fractions, we are looking at fractions of numbers or quantities.

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Year 6 Fractions on a Number Line Maths Challenge

This Year 6 Fractions on a Number Line Maths Challenge aims to support your child’s understanding of fractions on a number line. Children will use their knowledge of equivalent fractions to decode a secret word.

If you would like to access  additional resources which link to this Maths Challenge, you can purchase a subscription for £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 6 Fractions on a Number Line Maths Challenge aims to support pupils’ understanding of fractions on a number line. Pupils will use their knowledge of equivalent fractions to decode a secret word.

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: (6F3) Compare and order fractions, including fractions > 1

Mathematics Year 6: (6F11) Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

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Mastery Fractions Worksheets - Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

1 December 2016

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What your child will learn

Use common factors to simplify fractions.

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:

 +   =   +   = 

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).

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

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

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

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:

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

Fraction Calculations in School

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:

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

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.

6. Percentages

Your child will continue to work with 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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Equivalent Fractions on Number Lines — Problem Solving: Foundation (Year 6)

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This resource is suitable for the White Rose Maths Scheme of Learning, covering Autumn Term Block 3 (Fractions A), Step 2 (Equivalent fractions on a number line).

This stretch level worksheet is a great way to check children’s understanding of identifying equivalent fractions using a number line. They must look at the example and answer all of the questions which include counting in tenths, simplifying fractions and fact-checking fraction statements. There’s also an example question completed so children can see what they have to do — making it perfect for setting as homework too.

Answers are provided for all questions.

This worksheet is available in different levels. Please see the drop-down menu to select another level.

This resource is also available in a handy Lesson Pack, containing a selection of brilliant worksheets for this small step.

View Lesson Pack    See all Year 6 White Rose

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: White Rose Maths | Autumn Term: Fractions A | Small Step 2
• Topic Group: Fractions, Decimals and Percentages
• Year(s): Year 6
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 25/10/2023
• Resource Code: M2WFT14054
• Curriculum Point(s): Use common factors to simplify fractions. Use common multiples to express fractions in the same denomination.

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