maths problem solving year 6 sats

Year 6 Maths SATs Past Papers and Solutions

On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam. 

Even if you are not a primary school teacher/student, these are incredibly useful for those in secondary education. They give a great insight into the level of work students have covered at primary school, and are a great source for extra questions

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SATs (Year-6) Maths Questions By Topics

SATs (Year 6) Maths Questions By Topics

Ultimate Year 6 SATs preparation plan from MathShed

We hope to help you and your classes in your journey to Year 6 SATs success by providing:

• Why it’s key to prepare pupils to score marks based on their learning from prior KS2 year groups
• The importance of arithmetic for meeting National Standard in the KS2 SATs
• Where to prioritise revision by blocks / areas of learning in mathematics for SATs success and how MathShed’s digital Lessons can support this
• Arithmetic practice as part of your class’s daily routine and how MathShed’s Quick Maths is perfect for that
• Downloadable worksheet or online self-marking practice papers from MathShed
• Using MathShed’s digital fluency games to consolidate key procedures
• A takeaway CPD presentation download to share all this information with your colleagues!

The Imporance of Prior Learning for KS2 SATs Success

As the chart above shows, in some years (2016 and 2017), children can meet the National Standard for age-related expectations (ARE) in their KS2 SATs without answering a single question from the Year 6 curriculum correctly.

In 2018 and 2019 where Year 6 content factors into meeting the National Standard, it is a matter of a few marks. 

So, it is really important to identify and plug any gaps in children’s mathematical learning from Years 3 to 5. 

Importance of arithmetic fluency for Year 6 SATs

To meet the National Standard in Mathematics, children need between 56 and 60 marks out of 110 in total across all three papers, which is 51-54% .

Paper 1, Arithmetic by itself is 40 marks .

Also, these skills with conceptual variation are covered heavily in the reasoning papers, Paper 2 and Paper 3.

As the bar chart shows, a good score of 90+% of marks from Paper 1 alone will get children over halfway towards meeting the National Standard.

Marks by Block or Unit of Learning within Previous KS2 SATs Papers

Four Operations (addition, subtraction, multiplication and division) tend to make up a mean of about 33% of all marks across the three papers each year. Combined with Number and Place Value, the total for number and operations is closer to 45% of marks as a mean. 

Fractions, Decimals and Percentages on average make up a further ~20% of marks.

Followed by Measurement, Ratio & Proportion, Geometry which make up between 5% and 10% of marks each.

Then, Algebra, Statistics and Position & Direction with each of these areas of maths make up less than 5% of total marks. 

Although it is worth focusing on areas like Algebra to encourage algebraic thinking to help in other areas of mathematics or Statistics to help where tables and charts have been used to test other aspects of the curriculum, the data does show that focusing on properties of number and the four operations should offer the greatest benefit in delivering SATs success for your pupils.

Example MathShed Lessons sequence based on prioritising scoring for SATs success

• Problem solving using addition and subtraction ( shed.ly/LYSDWZI )
• Number & place value up to 10 million ( shed.ly/LNYNPHT – a FREE sample Lesson!)
• Problem solving involving Money – mixed domain involving decimals, +/- and place value ( shed.ly/LYKQHTZ )
• If you still have any children who are struggling with any of their times tables knowledge, that is a key fix.  MathShed provides a free times tables game as part of our individual teacher and whole school subscriptions.

Using MathShed’s Quick Maths to support the learning of key skills for addition, subtraction, multiplication and division

Quick Maths, is our daily arithmetic fluency scheme, for all years from Year 1 to 6. 

All of the Year 6 Quick Maths weeks in the Spring and Summer terms, in the run-up to the SATs, are based on past papers.

MathShed’s Quick Maths provides spaced repetition for rapid recall .

From our experience, it is best to do this when children are settling into the school day in the morning or after break or lunchtime. Try to have the questions up on the board and give each child scrap paper or jotters to do their arithmetic practice. 

If you do so, children will benefit from covering similar questions each week, providing retrieval practice for key procedures and known facts.

Self-marking past paper-inspired Question Sets , for in-class or at home use

We also have practice Paper 1 question sets based on each of the sample and past papers that can be either produced as PDFs and completed on paper or completed online, that way it is self-marking and the data feeds into our curriculum competency reporting dashboard.

Using MathShed’s arithmetic fluency games for effective and engaging KS2 SATs preparation

If you identify weakness with times tables, number bond recall or mental addition and subtraction, you could use our abstract fluency games.

If you find that there are particular questions children struggle with you could then set them the corresponding Lesson or question set on MathShed.

If there are many gaps, refer back to prioritised list of objectives to cover based on the historical allocation of marks in SATs papers.

How can you use MathShed to support problem solving and reasoning for Papers 2 and 3 ?

As with Paper 1, we also have practice Paper 2 and Paper 3 question sets modelled on each of the sample and past papers that can be either produced as PDFs and completed on paper or completed online, that way it is self-marking and the data feeds into EdShed’s curriculum competency reporting dashboard.

Thanks for reading and don’t hesitate to reach out if you need any further advice or support from any of the EdShed team in helping your pupils’ journey to SATs success!

If you would like to share these insights with your colleagues, please download our Engaging and Effective Year 6 SATs Preparation presentation!

Bonus: Video Webinar recording for all of the above

35 year 6 maths questions

Practise 35 year 6 maths questions that will help your child stay on track!

Author Amber Watkins

Published February 2024

• Key takeaways
• Year 6 maths word problems help students apply mathematical concepts to real-world scenarios.
• In year 6 maths, it’s important to master fractions, decimals, and order of operations.
• Hard problems  can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

• Word problems
• Numbers & place value

Multiplication

If this maths page has 5 sections of maths questions  with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems . Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

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Year 6 maths word problems

Let’s begin by covering maths word problems.

Mia’s water bottle can hold 300 millilitres of water. She drinks two and a half water bottles each day. How many total millilitres of water does Mia drink each day? 

The playground is made up of four rectangular lots that are each 10 metres by 7 metres. What is the total area of the playground?

 Josh lives 2.5 kilometres away from the park. Josh rides his bike to the park and back home four days a week. How many kilometres does Josh ride his bike each week?

Since we are solving word problems, a word should always be in our answer.

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Numbers & place value

In this section, we will cover maths questions that use place values, word form to standard form, standard form to word form, and expanded form.

Place value

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

In this section, we will cover year six maths questions that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review maths questionss for year six that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations.

Adding and subtracting whole numbers by transformation

A large portion of year 6 maths problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practise adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.

Some of the hardest maths questions involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practise a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

For more maths practice for year 6 , our app for maths help provides year 6 maths help in a way that makes maths fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on maths topics they struggle with. Check it out today !

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Word problem answer sheet

Mia drinks 750 millilitres  of water each day.

Explanation: 300 x 2 = 600. 300 / 2 = 150. 600 + 150 = 750.

280 square metres.

Explanation: The area of one lot is 10 x 7 = 70 metres. Take that area and times it by four, so 70 x 4 = 280 metres.

Josh rides 20 kilometres on his bike each week.

Explanation: Each day Josh rides 5 total kilometres: 2.5 kilometres to the park and 2.5 kilometres back home. If we multiply that number by 4 days a week, it equals 20 kilometres in all.

Writing numbers answer sheet

2 is in the hundreds place.

0 is in the tens place.

2 is in the ones place.

Division using area models answer sheet

Multiplying using square models answer sheet

Multiplying fractions and whole numbers using expanded form answer sheet

Multiplying fractions using a number line answer sheet

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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Keystage2maths.com

Free teaching resources and video tutorials for every topic in the Key Stage 2 Maths curriculum

Year 6 Reasoning

Y6 1 Four Operations Reasoning PPT

Y6 1 Four Operations Reasoning

Y6 1 Four Operations Reasoning – answers

Y6 2 Fractions, Decimals and Percentages Reasoning PPT

Y6 2 Fractions, Decimals and Percentages Reasoning

Y6 2 Fractions, Decimals and Percentages Reasoning – answers

Y6 3 Measurement Reasoning PPT

Y6 3 Measurement Reasoning

Y6 3 Measurement Reasoning – answers

Y6 4 Geometry Reasoning PPT

Y6 4 Geometry Reasoning

Y6 4 Geometry Reasoning – answers

Y6 5 Statistics Reasoning PPT

Y6 5 Statistics Reasoning

Y6 5 Statistics Reasoning – answers

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Help your child succeed in their SATs

The sats paper guide - free advice and help for the sats.

• KS1 Year 2 SATS PAPERS
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• Level 6 SATs Papers
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• SATS PREPARATION GUIDES & BOOKS
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• Contents of KS1 English SATS Tests
• Contents of KS1 Maths SATS Test

Maths Reasoning Worksheet and Explanation

We’ve structured this information to help children with their education. It is targeted at children in years 5 and 6 and the questions for the worksheet have been stripped from past papers. Having an understanding of maths reasoning is part of the primary school curriculum and children will deal with maths reasoning in both KS1 and KS2.

The Information below will give an overview of the topic and we have included a detailed worksheet with full answers. The worksheet includes 30 maths reasoning questions and is relevant for KS2 pupils approaching their SATS test.

Download Free Maths Reasoning Worksheet – Questions

Download free maths reasoning worksheet – answers.

If you are not ready to download the worksheets yet, then read on for some information about maths reasoning. This has provided to introduce the topics covered in the worksheet for those that might be unfamiliar but also as a quick revision tool for those that would like a quick refresher before accessing the worksheet.

Maths Reasoning Explained

The purpose of maths reasoning.

Reasoning allows us to make sense of the world around is and problems we might face on a day-to-day basis. Maths reasoning is part of this ability and helps us to use maths in meaningful ways and in applied settings. The question sheet uses examples that we might come across in everyday life where we need to use our maths skills to make an informed decision, such as the correct train to catch or how much money I will have remaining after I have been to the shops.

How do I Develop my Maths Reasoning?

Maths reasoning is dependent on the core skills learnt in the primary curriculum and is essentially utilising these in applied scenarios. In order to improve your maths reasoning skills, it is therefore important that you continue to develop your core skills. It is also important that students are able to explain their maths reasoning using the correct terminology wherever possible.

Where Maths Reasoning is Used?

As mentioned above reasoning is something we use every day, usually without thinking. These groups describe most of the situations where we will most likely be using our maths reasoning skills:

• The first encounter of a new challenge
• When a range of starting locations are possible
• When there is missing information
• When selecting a problem-solving skill
• When evaluating a solution in context
• When there is more than one solution
• When logical and critical thinking are required
• When there are multiple ways of solving a problem
• The basis for mathematical proof

Please feel free to download the maths reasoning worksheet and answers. No registration is necessary.

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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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• 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.

• Percentages Zone
• Measurement Zone

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
• Roman Numerals worksheets

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.
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Time Puzzles - harder

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SATs Tutoring Programme

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Hundreds of FREE maths SATs resources!

SATs practice papers, SATs revision packs, SATs intervention lessons and more!

250+ SATs Questions Free To Download [With Answers]

Emma Johnson

Here are hundreds of free SATs questions for you to use in the run up to the KS2 Maths SATs in May. Because we never just want to give you a load of links, we start with some useful background on the type and format of SATs questions to expect as well as some tips for using them and strategies for answering them.

If you just want the free download, you’ll find it here: Free resource pack of 100 arithmetic and 100 reasoning questions

Guided practice and support to answer SATs questions is at the heart of the one to one online maths lessons we teach every week. We have thousands of these questions on our tutoring platform so that pupils on the SATs revision programme can work through them step by step with their tutor, building confidence and expertise. Regular exposure to the types of questions pupils will be expected to tackle in May is one of the key ways to ensure children are as prepared as they can be for their SATs tests. Try the one to one maths lessons for yourself in this free downloadable SATs intervention pack .

In this article, we take a look at why SATS questions are a useful tool for teachers in the run up to the KS2 SATS tests. We also take a deeper look at the three papers: the types of questions which have come up previously, and how we can best help children prepare for these. We analyse the different topic domains; what proportion of the papers we can expect to include questions from each of the content domains and, finally, we provide questions for you to use, covering each of the topic areas. We also provide links to a range of free resources for you to use to support children in their SATS preparation.

SATS 2024: STAY UP TO DATE Join our email list to stay up to date with the latest news and free resources for SATs 2024 . As usual our expert teachers will be on hand to provide one to one tuition support, revision resources, expert analysis on papers and the 2024 SATs results .

What’s the point of more SATs questions?

Here are the benefits SATS style questions can offer as part of your SATs preparation:

• Reinforcing content: Practising SATS style questions and working through past SATS papers helps to reinforce the National Curriculum concepts pupils have been taught. It also gives students the opportunity to apply their knowledge across different types of questions.
• Familiarity with the format of the exam/questions: Many SATS questions follow a specific format. If students are exposed to these questions, then it helps them to prepare and also improve confidence in their ability to complete the tests.
• Identifying gaps: Practice questions enable both the teacher and the students to see where there may be areas of weakness and where they may benefit from extra support or intervention. Read more: SATs i nterventions
• Assessing progress: Completing SATS questions provides teachers with a benchmark of where students are and enables progress to be tracked over time. This is useful for the teacher in understanding how the children are progressing and also for the pupils to see how they are improving. Read more: Formative assessment
• Building confidence: Children can feel very nervous as SATS are approaching. By practising questions which are a similar style to those they will be given, this helps to build confidence that the tests aren’t as intimidating as they initially thought. Read more: Confidence in maths  
• Reducing anxiety around the test: By practising SATS questions, as part of the maths revision, students are more likely to feel confident in approaching the test, which in turn will mean they feel less stress when it comes to sitting the actual test. Read more: Maths anxiety
• Developing exam strategies: Through exposure to SATS style questions, children are able to learn strategies to solve them. When they get to the actual test, they will then be more confident in tackling the different questions they are given. Read more: SATs strategies  
• Time management: By practising similar questions to the questions they will be given in the test, students can learn how to use their time wisely – understanding which questions to spend more time on and which questions to move on from more quickly.  

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.

Format and structure of the maths SATs test

The maths SATS consist of three papers:

• Paper 1: Arithmetic (30 minutes) 

This paper is designed to assess students’ understanding in mathematical concepts through fixed response, fluency style questions.

• Paper 2: Reasoning (40 minutes) 
• Paper 3: Reasoning (40 minutes) 

These 2 papers evaluate students’ reasoning and problem solving skills. Questions on this paper vary in style, with some involving more complex problem solving scenarios.

Whilst the arithmetic paper predominantly contains 1 mark questions, with minimal need to show workings out, the reasoning papers contain far more 2 mark questions and even a 3 mark question, where marks can be gained from showing workings out or explaining reasoning. It is important for children to have exposure to this type of question to ensure they know how to answer, in order to achieve as many marks as possible.

Examples of SATs maths questions

As part of their SATS preparation, Children need to build their confidence in solving multi step word problems, such as this one. It’s important to practise these multi-step questions, to avoid losing marks by not completing everything that is being asked.

SATs maths question example 1

Paper 2, qu.17 (2023)

Some questions can have a much higher level of cognitive demand than you would expect from the number of points awarded. It’s good to ensure children see this type of question in advance and to think about whether leaving it until the end would potentially mean answering more straight forward questions in the allocated time. It’s important children understand that spending a long time on one question can potentially impact on their final score, if they run out of time to complete easier/quicker questions.

SATs maths question example 2

Paper 2, qu.24 (2023)

The content of the maths questions in SATS has previously involved some quite obscure questions, which have no relevance to the children taking the test, however in recent years, questions have followed themes which children are better able to relate to.

SATs maths question example 3

Paper 2, qu. 4 (2023)

It is worth taking the time to look at previous questions, which have not been so relatable to children, to ensure they are prepared to tackle this type of question.

SATs questions essentials

Sats questions are not only for year 6.

SATS style questions don’t have to be saved for use only with year 6 pupils. Students also benefit from exposure to SATS style questions in the other year groups in Key Stage 2. By having this experience in other year groups, the style of questions they will meet in their SATS exam aren’t something new and different to anything they’ve experienced in previous years.

Read more: SATs don’t start in Year 6  

Free download: Rapid Reasoning provides you with at least 15 questions per KS2 year group (Year 3 to Year 6) per week, many of them modelled on the structure and type that children will encounter in SATs

Tricky SATs questions

Sometimes SATS questions can be designed to catch children out, or to highlight when a question hasn’t been read correctly. If students have plenty of opportunities to practise these questions, they then know what to look out for and are much less likely to be tripped up by the time they reach the actual SATS.

Read more: Year 6 maths questions

How to achieve a high score on questions in SATs

The two most content-heavy content domains in the year 6 SATS papers are calculations and fractions, decimals and percentages (FDP). These two areas account for 58% of the total mark. With 51% being the pass mark, it is clear how important it is that children are as secure as they can be in these 2 areas.

Of the three papers, the arithmetic paper is the easiest to prepare children for, due to the straightforward nature of the questions, compared to the reasoning papers. If children can achieve a score of at least 30 out of 40 in the arithmetic paper, they only need a further 26 marks across both reasoning papers, to be considered as having achieved the expected standard.

Strategies for solving SATS questions effectively

For children to have the best possible chance of scoring well in the maths SATS, it is important to equip them with the skills to do this. Working through practice papers and past SATS test papers, is useful for helping them to prepare.  Providing students with a bank of strategies is also beneficial For example:

• Making sure the question has been understood: Read the question carefully and make sure the they fully understand what is being asked, before attempting to solve it.
• Underlining the key information: Focus on the key points within word problems. A lot of information in this type of question isn’t relevant for solving it. Children need to learn to underline the information that they will need.
• Showing workings out: Children need to be taught the importance of showing workings out. Marks can be lost by children calculating answers in their heads. If they show their workings out, but make a mistake with the final answer, they can still earn marks. If they calculate in their head and make a mistake, they won’t receive any marks.
• Managing time carefully: Make sure students are aware of the time they should spend on each question and when it would be more appropriate to put a star next to a question and move on. It is better to miss a question out and attempt it again at the end, than spend time on a question and fail to complete the rest of them.

How to improve mental maths skills for SATS

Although mental maths is no longer assessed as part of the maths SATS , strong mental maths skills are still essential. Knowledge of the times tables is vital to success in many areas of the maths curriculum. Other mental maths skills children need to develop include estimation skills, and speed and accuracy.

To improve these skills, little and often is the key. Students should be given the opportunity to practise daily through a variety of resources, including: online maths games, in-person maths games , worksheets and flashcards.

Mark schemes and available marks in maths for SATs questions

Understanding how marks are awarded in the KS2 maths SATs  is useful for both teachers and students. The arithmetic paper is predominantly one mark questions, so marks are only awarded for the correct answer, not for showing the correct working out. The only questions which students can pick up two marks for, on this paper, are long division and long multiplication. For these questions, it’s essential that students show their workings out, as they can pick up one mark for an incorrect answer, if they show that they have used the correct calculation to attempt to solve it.

The reasoning papers have a combination of 1, 2 and 3 mark questions. In the higher mark questions, pupils can usually pick up a mark for the correct calculation, but incorrect answer. With this in mind, it is important children are aware of this and are taught to always show their workings out, even if they feel it is something they can calculate in their heads.

Content domain coverage of the SATs questions

When preparing students for SATS, it is also useful to be aware of the content domain coverage table at the start of the mark scheme. This table lists which year group and which objectives each question is focusing on. Having an understanding of the content coverage is helpful for ensuring appropriate time is given to ensuring confidence in some of the key areas, such as the four operations and fractions, decimals and percentages.

How to prepare for the SATs questions in the Arithmetic  papers

In recent years, the arithmetic papers have covered a very similar structure, with calculation and fractions, decimals and percentages being the focus of a high proportion of the paper each year. Only a few questions in each paper are outside these areas:

Questions in this paper are straightforward, fluency questions. The structure of these questions is generally similar each year, with positioning the answer box at the start of the question, being a style of question which appears a lot. It’s important that children are exposed to questions where the answer is at both the beginning and end of the question.

Paper 1, Question 2 (2023)

It is also common to see similar questions throughout the paper, but with increasing levels of difficulty. For example, with the fractions and percentages questions here:

Children also need to be prepared for questions being presented in more than one way. For example, with this question, children who haven’t experienced a question presented this way before, may not recognise it as a question that would be easier to solve a fraction of an amount question, rather than a multiplying fraction question.

Strong arithemetic skills are key for helping students to develop speed fluency an automaticity in the arithmetic paper. There are a number of things teachers can do, to help children develop these skills:

• Regular practice: Set aside a dedicated time each day to focus on these basic skills. Also regular exposure to practice tests    
• Begin with basic facts: Ensure students are secure in the basic arithmetic facts, such as addition, subtraction and times tables facts. Games (both in person and online) are great for helping children to learn these basic facts.
• Mental maths strategies: Teach children mental maths strategies. This will help develop both speed and fluency for the arithemetic paper.
• Practise with timed tasks: Time children completing short arithmetic tasks. Children work to improve their times.
• Online resources: Online games are a great way to motivate children to practise skills, such as times tables facts.
• Simulate test conditions: If children are exposed to test style conditions in advance of sitting the actual SATS, this helps familiarise the children and reduce anxiety for the actual maths test.

Understanding the mark scheme for SATs arithmetic questions

The mark scheme for the arithmetic maths paper in the Key Stage 2 SATS  is very straight forward. The majority of the questions are worth one mark, with only the longer questions, such as long multiplication and long division calculations being given 2 marks. So, for most Year 6 arithmetic questions , the mark is simply one mark for getting the answer correct, whilst with the longer questions, children automatically receive two marks if the answer is correct, but can also receive one mark, if the answer is incorrect, but they have used the correct calculation. 

Free SATs arithmetic questions: 

• SATs arithmetic paper
• 100 arithmetic questions for year 6
• Year 6 fractions questions
• Year 6 arithmetic questions

How to prepare for the SATs questions in the Reasoning papers

The reasoning papers contain a wider variety of questions than the arithmetic paper. There are a mix of question types, including single-step, multi-step, explanation questions and sequencing/ordering questions. These are a combination of one, two and three mark questions and assess the children’s understanding more deeply than the arithmetic paper.

High levels of fluency are beneficial for the reasoning paper, with some questions designed to highlight students who have higher levels of fluency. For example, with this question, children with high levels of fluency could very quickly spot this question could be solved without any calculations needed. Whilst other children spent a long time trying to work out the calculations, to solve it:

Paper 3, Qu. 13 (2023)

The reasoning papers generally increase in difficulty as the paper progresses, with more content from year 6 appearing later in the paper. There can be a few surprises thrown in, early on, but generally the first half of each paper is easier than the second half.

Multi-step word problems are commonly introduced later in the paper. These are the longer two mark and occasional three mark questions.

Paper 3, Qu.16 (2023)

Children also need to be aware, with the reasoning papers, that there can be questions which take a considerable length of time to complete. These higher cognitive demand questions can hold students up from completing the rest of the paper. It is helpful to train children to be aware of these and encourage them to mark the question and move on to the rest of the paper. 

Developing the skills needed to answer SATS reasoning questions

The reasoning papers cover a broader range of topics than the arithmetic paper. For pupils to successfully complete the reasoning papers, they need to have a solid understanding of the key concepts. The weighting is still more towards calculations and fractions decimals and percentages, but to score well, children do also need to be confident in other maths curriculum areas.

Skills pupils need to be successful in the reasoning papers include:

• Problem solving: The ability to understand and analyse a problem and apply mathematical concepts to real life situations.
• Reasoning: Be able to make logical connections between different pieces of information.
• Mathematical operations: Confident in the four operations and be able to apply this in various contexts.
• Mathematical vocabulary: Knowledge of key mathematical terms which could be used in the papers.
• Time management: Children need the skills to complete the test within the allocated time and the understanding of when to attempt a question and when it would be better to move on.

Understanding the mark scheme for reasoning questions

The mark scheme for the reasoning paper goes into considerably more detail than the mark scheme for the arithmetic paper. It is important to be aware of the mark scheme when marking any questions from KS2 SATS papers, as marks can be scored in on these papers, even if the answer is incorrect. If children show they have understood the method, but have made an error in the calculation, they are able to score one mark in a two mark question. It’s important children learn to always show their calculations, to ensure they pick up as many marks as possible

Free SATs reasoning questions: 

• 35 year 6 maths questions  
• SATs reasoning paper
• 100 reasoning and problem solving questions for year 6 

SATs questions by maths topic and content domain

When preparing for the SATS tests, it’s helpful to know which topics to prioritise. The papers generally follow a similar format each year, with certain areas (such as calculation and fractions, decimals and percentages) having a much higher weighting than areas such as ratio and proportion or statistics.

For a more in depth analysis of the SATS papers look at this article on the top 20 Year 6 maths revision topics .

Below we have included 29 exemplar SATs arithmetic and SATs reasoning questions – with answers of course – arranged by topic. As in the real life SATs we’ve roughly weighted the number of questions per topic. 

Don’t miss the links at the end of this article for lots more free SATs questions, SATs revision resources and SATs intervention support.

Calculations SATs questions

The four operations are guaranteed to come up throughout all three papers. The highest percentage of the SATs exam is focused on this domain. Therefore, it is important children are secure and confident in all four written methods and applying this knowledge to a range of one-step and multi-step word problems.

Calculations SATs arithmetic questions

SATs question 1: 3,362,879 + 36,279 = ?

Answer: 3,599,158 (1 mark)

Working: 3,362,879 + 36,279 = 3,599,158

SATs question 2: 3,978 ÷ 26 = ?

Answer: 153 (1 mark)

Working: 3,978 ÷ 26 = 153

Calculations SATs reasoning questions

SATs question 3: A house sold for £485,999. 5 years later, it sold for £123,899 more. How much did it sell for 5 years later?

Answer: £609,898 (1 mark)

Working: £485,999 + £123,899 = £609,898

SATs question 4: There were 9,725 passengers on a cruise ship. At the next port, a further 487 passengers got on, but 276 passengers got off. How many are on the cruise ship now?

Answer: 9,936 (2 marks)

Working: 9,725 + 487 = 10,212 10,212 – 276 = 9,936

SATs question 5: Circle the two numbers which have a difference of 326: 423, 716, 832, 749, 581

Answer: 423 and 749 (1 mark)

Working: 423, 716, 832, 749, 581

SATs question 6: Mr. Smith spent £28,749 on a new car. He then spent £7,389 on a caravan. He now has £6,752 left in his bank account. How much did he have to start with?

Answer: £42,890 (2 marks)

Working: £28,749 + £7,389 + £6,752 = £42,890

More calculations questions: Year 6 addition and subtraction questions for SATs

Fractions, decimals, and percentages SATs questions

Fractions, decimals, and percentages are an area which children need a secure understanding. Usually, there are a large number of questions in the KS2 SATs from this content domain. If children are secure in the four operations and fractions, decimals, and percentages, it may be possible to gain enough marks to reach the expected standard — even if other areas are weak.

Fractions, decimals, and percentages SATs arithmetic questions

SATs question 7: 37.23 – 17.876 = ?

Answer: 19.354 (1 mark)

Working: 37.23 – 17.876 = 19.354

SATs question 8: \[ \frac{3}{7} \] of 546 = ?

Answer: 234 (1 mark)

Working: \[ \frac{1}{7} \] of 546 = 78 \[ \frac{3}{7} \] of 546 = 234

Fractions, decimals, and percentages SATs reasoning questions

SATs question 9: A factory makes 11,250 biscuits per hour. \[ \frac{4}{9} \] of the biscuits are chocolate. How many of the biscuits made each hour are not chocolate?

Answer: 6,250 biscuits (2 marks)

Working: \[ \frac{5}{9} \] of 11,250 are not chocolate \[ \frac{1}{9} \] of 11,250 = 1,250 \[ \frac{5}{9} \] of 11,250 = 6,250

SATs question 10: Chloe goes shopping and buys a pair of jeans for £48.35, a phone for £276.89, and a bag for £35.65. She now has £76.84 left. How much money did she have at the start of her shopping trip?

Answer: £437.73 (2 marks)

Working: £48.35 + £276.89 + £35.65 + £76.84 = £437.73

SATs question 11: Max bought a hoodie in the sale. The original price was £42.60, but it was in the sale, with 25% off. How much did he pay for the hoodie?

Answer: £31.95 (2 marks)

Working: 25% of £42.60 = £10.65 £42.60 – £10.65 = £31.95

SATs question 12: Ahmed has a bag of sweets. He works out that \[ \frac{1}{8} \] are green, \[ \frac{3}{8} \] are red, \[ \frac{2}{8} \] are yellow, and \[ \frac{2}{8} \] are orange. He has 21 red sweets. How many are in the bag altogether?

Answer: 56 sweets (2 marks)

Working: \[ \frac{3}{8} \] = 21, so \[ \frac{1}{8} \] = 7 7 x 8 = 56

More questions: Year fractions questions for SATs (to come)

Number and place value SATs questions

Children need a secure understanding of place value for the SATs exam. Place value questions may appear less frequently than some other domains, but it is the foundation for understanding many other mathematical concepts in the KS2 SATs exams. On average, number and place value make up 12% of questions across the 3 papers.

Number and place value SATs arithmetic questions

SATs question 13: What is the value of the digit 7 in each of the numbers: 27.9, 3.57, 82.71, 76.3

Answer: 7, 0.07, 0.7, 70 (1 mark)

Working: 27.9 = 7 3.57 = 0.07 or \[ \frac{7}{100} \] 82.71 = 0.7 or \[ \frac{7}{10} \] 76.3 = 70

SATs question 14: 653 ÷ 100 = ?

Answer: 6.53 (1 mark)

Working: 653 ÷ 100 = 6.53

Number and place value SATs reasoning questions

SATs question 15: How many times greater is the digit 6 in the number 4,365,281 than the digit 6 in 2,357,368?

Answer: 1000 times bigger (1 mark)

Working: 4,365,281 = 60,000 2,357,368 = 60

SATs question 16: What is the number exactly 2 less than 14 million?

Answer: 13,999,998 (1 mark)

More questions: Year 6 Place Value Questions for SATs

Geometry SATs questions – properties of shape

Geometry SATs questions vary year to year. Some years include more geometry questions than others. It is important that pupils have a secure understanding of the geometry strands to help them in the reasoning papers.

Geometry SATs reasoning questions

SATs question 17: Match the name of the 3D shape to the name of one of the shapes on its surface:

• Square-based pyramid – Circle
• Hexagonal prism – Triangle
• Cylinder – Rectangle

Answer: Square-based pyramid – Triangle, Hexagonal prism – Rectangle, Cylinder – Circle (1 mark)

SATs question 18: An isosceles triangle is labelled with the angles ‘A’, ‘B’, and ‘C’. Angle A measures 54°. What 2 possible sizes could angles B and C measure?

Answer: 54° and 72° or 63° and 63° (2 marks)

Working: Sum of angles in a triangle = 180° 54° + 54° + 72° = 180° 54° + 63° + 63° = 180°

Geometry measure SATs questions

Measure SATs questions only appear in the two reasoning papers and make up an average of 13% of the total marks.

Measure SATs reasoning questions

SATs question 19: The distance between two cities is 426 km. What is the distance in meters?

Answer: 426,000 m (1 mark)

Working: 426 km = 426,000 m

SATs question 20: Year 6 are going on a school trip to a theme park. If the journey takes 1 hour and 25 minutes and they want to arrive by 9:45 am, what time do they need to set off?

Answer: 8:20 am (1 mark)

Working: 9:45 am – 1 hour 25 minutes = 8:20 am

SATs question 21: A primary school is looking to put a fence around the school vegetable patch. The vegetable patch is a rectangular shape. The length of one side is 427 cm and the length of the shorter side is 346 cm. How many meters of fencing will they need?

Answer: 15.46 m (2 marks)

Working: 427 + 346 = 773 773 x 2 = 1,546 cm = 15.46 m

Position and direction SATs questions

Position and direction accounts for the smallest proportion of the year 6 SATs, with an average of only 3% of questions taken from this content domain in the 2023 SATs papers.

Position and direction SATs reasoning questions

SATs question 22: Sam is hunting for treasure using a coordinates grid. The treasure is hidden at (2, 4). Sam is standing at (7, 6). Describe how he can get to the treasure.

Answer: Move left 5 and down 2 (1 mark)

SATs question 23: Mason is facing East. He turns 270° clockwise. What direction is he facing now?

Answer: North (1 mark)

Ratio and proportion SATs questions

Ratio and proportion make up a small percentage of the reasoning papers and are often an area children can find quite difficult. Before spending a lot of revision time on ratio and proportion, it can be a good idea to ensure pupils are confident in using the four operations and fractions, decimals, and percentages. These curriculum areas are worth more marks in the SATs papers.

Ratio and proportion SATs reasoning questions

SATs question 24: This is a recipe for making 25 chocolate chip cookies:

• 125g butter
• 200g plain flour
• 1 large egg
• ½ teaspoon bicarbonate of soda

How many grams of sugar are needed to make 15 cookies?

Answer: 90g sugar (2 marks)

Working: 5 cookies = 150 ÷ 5 = 30g 15 cookies = 30 x 3 = 90g

SATs question 25: Year 6 have been participating in a netball league. The team played 15 games over the season and the coach worked out that for every 2 wins they lost 1 game. How many more games did they win than lose over the season?

Answer: 5 games (1 mark)

Working: 15 games in total – 5 lots of 2 wins and 1 loss. In total, they won 10 games and lost 5, therefore won 5 more games than they lost.

More questions: Year 6 ratio questions for SATs

Algebra SATs questions

Algebra is introduced to pupils in Year 6. For those close to the age-related threshold, algebra can be tricky and require extra revision. But with algebra making up a total of 9% of questions in the 2023 reasoning papers, revision for these pupils may be better spent on more frequent occurring strands.

Algebra SATs reasoning questions

SATs question 26: I am thinking of a number. I multiply the number by 21 and add 3. The answer is 84. What was my number?

Answer: 4 (1 mark)

Working: X x 21 + 3 = 87 21X = 84 X = 4

SATs question 27: Mrs Brown is roasting a chicken in the oven for lunch. She knows it takes 20 minutes to roast each kilogram of chicken. If Mrs Brown has a chicken weighing 2.5kg, how long does she have to roast the chicken for?

Answer: 50 minutes (1 mark)

Working: 2.5 x 20 minutes = 50

More questions: Year 6 algebra questions

Statistics SATs questions

Statistics are another topic that appears less frequently in the SATs exams. On average, the statistics questions account for approximately 4% of questions across the 2 reasoning papers.

Statistics SATs reasoning questions

SATs question 28: 6 children were comparing their test scores. They wanted to work out the average score the 6 of them had achieved. The scores were: 31, 24, 38, 27, 35, and 31. What was the average score?

Answer: 30 (1 mark)

Working: 31 + 24 + 38 + 27 + 35 + 25 = 180 180 ÷ 6 = 30

SATs question 29: In a survey of favourite foods, 30% of children chose burgers, 25% chose pizza, 35% chose ice cream, and 10% chose cake. If 40 children chose pizza, how many chose burgers?

Answer: 48 children (1 mark)

Working: 40 children = 25% 160 children in total 10% = 16 children 30% = 16 x 3 = 48

More SATs exam questions and papers

• 75 KS2 SATs questions by topic
• Best Year 6 SATs practice papers from all sources
• 6 KS2 maths SATs practice papers free downloads from Third Space Learning
• Past SATs papers – links to all previous government papers including the 2016 sample papers
• Year 6 maths test

GET THE ANALYSIS ON PREVIOUS SATS SATs have been running in their current incarnation for 7 years; there were no government standardised assessments in 2020 and 2021 as a result of the Covid-19 pandemic. Get all the analysis and results from previous national assessments below. And find out which are the top 20 year 6 maths revision topics to focus on this year. – SATs papers 2024 – SATs results 2024 – SATs papers 2023 – SATs results 2023 – SATs papers 2022 – SATs results 2022 – SATs papers 2019 – SATs results 2019 – SATs papers 2018 – SATs results 2018 – SATs papers 2017 – SATs results 2017 – SATs results 2016

The year 6 SATS include assessments are in English and mathematics. The English SATS cover reading, grammar, punctuation and spelling (SPAG) and maths (arithmetic and reasoning). The maths papers typically contain content from across the maths curriculum, with a higher proportion of questions focused on calculation and fractions, decimals and percentages questions.

The score required to pass the maths SATS exam has ranged from 56 marks to 61 marks over the past 5 years (a percentage range of 51% to 55%). There are no official guidelines for greater depth. But to achieve greater depth, children need to achieve a raw score of around 94 (or a percentage of 85-88%).

There is no pass or fail in SATS. Children who don’t achieve the mark required to be considered ‘at the expected standard’, will be considered as ‘working towards the expected standard’. These children will likely require additional support in secondary school.

SATS are more important for schools than they are for children. Some secondary schools may take SATS into consideration, when deciding how to group the children, but many will test at the start of year 7, before deciding where children should go.    For schools, SATS provide a measure of attainment and progress for the pupils and provide a way of comparing schools, based on results. Whilst SATS can provide useful information, it’s important not to overemphasise their importance . They should be viewed as part of a bigger picture, when looking at how children and schools are doing. 

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Year 6 SATs maths exam: what to expect

By Atom | Sep 14, 2023, 2:16 PM

Is your child in Year 6? They'll be taking their Key Stage 2 SATs maths exam in May 2024. Learn what they'll be tested on and get free resources to help your child prepare.

What is the Year 6 SATs maths exam?

The Key Stage 2 Standard Assessment Tests (SATs) are compulsory for all Year 6 students at state schools in England. They're used to assess your child’s knowledge of the Key Stage 2 national curriculum and gauge the quality of education across England’s schools.

The KS2 maths test is designed to test pupils’ knowledge and understanding of:

Arithmetic: confidence with the range of mathematical operations

Reasoning: mathematical fluency, logic and problem-solving

The maths curriculum covers these eight key topics:

Number and place value

Calculations (addition, subtraction, multiplication and division)

Fractions, decimals and percentages

Ratio and proportion

Measurement

Geometry (properties of shapes, position and direction)

Fractions worksheets

Download 38 free questions covering all the fractions subtopics your child should know by the end of Year 6. Includes answers after each sub-topic.

When is the 2024 SATs maths exam?

There are three maths papers on the Year 6 SATs. These take place over two days.

Wednesday 15th May 2024

Paper 1: arithmetic test – 30 minutes, worth 40 marks

Paper 2: reasoning test (1) – 40 minutes, worth 35 marks

Thursday 16th May 2024

Paper 3: reasoning test (2) – 40 minutes, worth 35 marks

What format are the KS2 SATs maths papers?

There are different question formats in the Year 6 SATs maths papers.

In the arithmetic paper , your child will need to write their answers in free-form. They will have space for working out.

In both reasoning papers , your child might need to complete a grid/graph, write free-form answers, or choose the correct answer(s) from multiple-choice options. They will have plenty of space to write their workings.

Example of a question in a Year 6 SATs maths reasoning practice test on Atom

How is the maths SATs exam marked?

There are 110 marks available across the three maths papers. Partial marks will be awarded for correct working where the final answer is wrong, but the pupil has used the formal method of working.

Your child’s raw score (out of 110) will be converted into a scaled score. This makes sure all pupils in the year group are tested on a consistent scale. The scaled score is adjusted for any differences in the difficulty of the test year on year.

Learn more about how the SATs are marked .

How to prepare for the Year 6 SATs maths exam

Supporting your child with maths, more free sats resources, 2023 maths papers & answers, sats study guide, key stage 2 maths checklist, build the knowledge you need for sats.

The most reliable way to perform well in the SATs is to build a stable understanding of the Key Stage 2 curriculum. Atom is a home learning programme created by teachers, designed to help your child build knowledge and confidence across English, maths and science.

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70,000+ interactive questions

Year 6 SATs English and maths practice tests

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Measurement Word Problems - SATs Style - Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

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A selection of word problems used for a Year 6 measurement revision lesson, focusing on converting between units. Some of the questions are from previous SATs papers and some are similar but with numbers/wording changed. Answers are included.

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