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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? 

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 .

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 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.

Privacy Overview

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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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?

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

• This page contains links to other Math webpages where you will find a range of activities and resources.
• 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
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• 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
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

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

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

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Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

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.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

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

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
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Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math 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 quiz!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

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

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 6 Math Word Problems (5th Grade)

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

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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Fraction and Decimal Worksheets for Year 6 (age 10-11)

In Year 6 there is even more work on equivalent fractions and using common factors to simplify fractions, often called cancelling.

Perhaps the biggest step is that by the end of Year 6 children will be expected to add and subtract fractions with different denominators and mixed numbers. A really sound understanding of how to do this is needed and many children will find this very difficult. We have a vast selection of addition and subtraction of fractions worksheets, increasing in difficulty, to meet all the challenges set by the Programme of Study.

More is also expected with multiplying fractions using simple proper fractions (e.g. a quarter multiplied by a half is an eighth). Some children find it hard to grasp that when multiplying a whole number by a proper fraction the answer will be smaller than the starting number; very unlike their normal multiplying experience with whole numbers. Replace multiply with the term ‘lots of’ can help with this (e.g. two lots of four is eight; a quarter lot of four is one). We have some excellent sets of worksheets getting progressively harder on multiplying fractions. Answers are expected to be written in their simplest form.

Dividing fractions is also introduced, but only dividing proper fractions by whole numbers.

Once again children should be encouraged to associate a fraction with division as well as working with decimal fractions up to three decimal places (e.g. three eighths as 0.375). More work is also done on percentages, a favourite topic in the KS2 SATs.

An important part of all this work with decimals and fractions is that children should develop their skills of rounding and estimating as a way of predicting and checking that their answers are sensible.

Whilst the Key Stage 2 SAT Papers are in May this leaves quite a short year to fit in all that is needed to be successful.

Understanding and ordering fractions

Understand equivalent fractions, compare and order fractions.

Tricky ordering of fractions on a number line.

Finding fractions of numbers. Some of these only require one step to reach the answer. Others require two steps.

Lecnac is the opposite to cancel? There's no other word for it!

More revision on equivalence.

Using bar models to help clarify fraction word problems.

More on equivalent fractions and simplifying fractions.

Using knowledge of equivalence to complete the fractions.

Finding a fraction between two other fractions shows a really good understanding of equivalence.

Ordering fractions with the help of a blank number line. Again, equivalent fractions need to be understood to successfully complete these pages.

Tricky ordering of fractions.

More ordering fractions.

Simplify fractions using the highest common factor.

Changing mixed numbers to improper fractions and vice versa. Cancelling fractions.

Fraction word problems. Don't forget fractions are really division calculations in disguise!

Addition and subtraction of fractions

Add and subtract fractions, including fractions with different denominators and mixed numbers.

Adding fractions which all have the same denominator.

Adding simple fractions with different denominators.

More addition of fractions with different denominators.

Adding mixed numbers where the denominators are the same.

Adding mixed numbers.

Subtracting fractions from whole numbers.

A quick and easy way to subtract mixed numbers.

Subtracting mixed numbers; denominators the same.

Subtracting mixed numbers.

Subtracting fractions practice.

More on subtracting fractions.

Subtracting a fraction from a mixed number.

Multiplying and dividing fractions

Multiplying simple pairs of proper fractions and dividing proper fractions by whole numbers.

A look at what happens when two fractions are multiplied together.

An introduction to multiplying fractions by whole numbers.

Multiplying simple fractions.

Use bar models to illustrate how to multiply mixed numbers by a whole number.

Multiplying mixed numbers by a whole number.

A first look at dividing a fraction by a whole number.

A further look at dividing a fraction by a whole number.

Dividing simple fractions by a whole number.

Decimals and fractions

Decimal fractions and understanding the relationship between decimals and fractions

Working with numbers to three decimal places; recognising tenths, hundredths and thousandths.

A look at decimals and fractions using hundredths and thousandths.

Looking at place value with decimals up to thousandths.

Using place value charts and multiplying decimals by 10, 100 and 1000.

Dividing decimals by 10 and 100, working to 3 decimal places.

Write the fractions as decimals. Where necessary go to two decimal places.

Using a calculator, changing fractions to decimals, including looking at patterns such as ninths and sevenths.

More on converting fractions and mixed numbers to decimals.

More converting fractions to decimals.

Ordering decimal fractions. Sounds easy, but can be quite tricky.

Hints and tips on ordering decimals.

Some of these really are quite hard! Comparing fractions and decimal fractions.

Multiplying and dividing decimals

Multiplying and dividing decimals. More can be found in our Year 6 Multiplication and Division categories as well as KS2 SAT Booster pages.

Multiplying decimals up to 3 decimal places by 10, 100 and 1,000.

Multiplying decimals by a 1-digit whole number.

Word problems involving multiplying decimals.

Dividing decimals by 10, 100 or 1,000 by moving each digit to the right.

Use the long division method to divide decimals by 2-digit numbers.

Word problems involving division of decimals.

Rounding decimal fractions

Rounding fractions including rounding to the nearest tenth and hundredth.

Rounding decimals to the nearest whole one, including rounding to kilograms and kilometres.

Rounding decimals to the nearest tenth, including rounding metres and kilometres.

Rounding money to the nearest £1 and £10.

Rounding money to the nearest £1 and £10: harder examples.

Rounding decimals: tenths and hundredths.

Rounding decimals including the use of a calculator.

Percentages

Find percentages and solve problems involving the calculation of percentages.

Great set of questions using bar models to help understand percentages.

Using bar models to solve tricky percentage word problems.

Converting and ordering decimals, fractions and percentages.

Finding percentages of numbers and money. Word problems using percentages.

Word problems involving working out percentages.

Finding percentages of numbers.

More on finding percentages of whole numbers.

Harder percentage questions.

More tricky percentage questions.

Interpreting pie charts.

Further fraction work

More on fractions.

Using a calculator to decide the size of fractions and some more converting fractions to decimal fractions.

Using only the multiplication or division calculator keys change one decimal fraction to another.

The statutory requirements for Fractions in Year 6, including decimals and percentages.

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Simplifying Fractions for Grade 6

Equivalent fractions math worksheets.

These grade 6 math worksheets provide practice in simplifying fractions , recognizing equivalent fractions and converting fractions to and from mixed numbers.  

Sample Grade 6 Simplifying Fractions Worksheet

More fractions worksheets

Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

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Equivalent Fractions

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

11 December 2017

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Exactly what was I was looking for to set as a homework for my year 9s.

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Looks good and always nice to have an extended version.

Thanks, perfect for a homework

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