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27 Dec 2025
•
Year 6 SATS Reasoning Practice Paper
Chloe
@chloe_yr8
1 / 10
Test Information and Setup
This is the cover page of your KS2 Mathematics reasoning paper. You'll need to fill in your personal details like name, date of birth, and school information before starting.
The test code M00070 A helps identify this specific paper. Make sure you write clearly in all the boxes so your test can be processed properly.
Quick Tip: Take a moment to fill in all your details carefully before the test begins - rushing this bit could cause problems later!
Blank Page
This page is intentionally left blank for the test layout. You shouldn't write anything here during your exam.
The page numbering shows this is page 2 of 24, so you've got plenty of questions ahead. Don't worry though - you'll work through them step by step.
Remember: Only write on pages that have actual questions on them!
Test Instructions
Here are the key rules you need to follow during your 40-minute test. No calculators allowed, so you'll be doing all calculations by hand or in your head.
You can use the space around each question for working out, which is really helpful for complex problems. Some questions have a special "Show your method" box where you can earn marks just for showing how you worked something out.
If you get stuck on a question, skip it and come back later. This stops you wasting precious time on one tricky problem when you could be earning marks on easier ones.
Smart Strategy: Always check the marks available for each question - it tells you how much time and effort to spend on it!
Question 1: Reflection
Time to show your geometry skills with this triangle reflection question. You need to draw the mirror image of the triangle across the given mirror line.
Use your ruler to measure carefully and make sure each point of the reflected triangle is the same distance from the mirror line as the original. Think of it like the triangle is looking in a mirror.
Top Tip: Count grid squares to help you place each corner of the reflected triangle in exactly the right spot!
Question 2: Money Problem
This word problem tests your mental maths with money. Amir spent 50p total on two pieces of fruit.
Look at the prices: banana (12p), plum (23p), apple (32p), pear (38p). You need to find two fruits that add up to 50p exactly.
Try different combinations: 12p + 38p = 50p, so Amir bought a banana and a pear. Always double-check your addition!
Money Maths: Work backwards from the change given - it's often quicker than trying every combination!
Questions 3 & 4: Graphs and Sequences
The bar graph shows Layla's basketball points across games. She scored 25 points total after 4 games, and you can see she got 8 + 6 + 4 = 18 points in the first three games, so Game 4 must be 7 points.
For the number sequence, work out the pattern: -11 to 7 is +18, then 7 to 19 is +12. The sequence goes up by 6 each time: -11, -5, 1, 7, 13, 19.
Pattern Spotting: Always check your sequence by seeing if the differences between numbers stay the same!
Questions 5 & 6: Missing Numbers
The multiplication problem needs you to work out what digits make the calculation correct. Try different numbers systematically until 6 × 5 × something gives you the right answer.
For Olivia's mystery number, use the clues step by step: greater than 236, less than 245, has 3 in tens place 23_, and is even. The only number that fits all these clues is 238.
Detective Work: Cross out impossible answers as you go through each clue - it makes the final choice obvious!
Questions 7 & 8: Multiplication and Rounding
The envelope problem is straightforward multiplication: 40 boxes × 25 envelopes = 1,000 envelopes total. Break it down if needed: 40 × 20 = 800, plus 40 × 5 = 200.
For the rounding questions, think about which numbers would round to give these answers. For example, numbers from 3,500 to 4,499 would round to 4,000 when rounded to the nearest thousand.
Rounding Rules: Remember that 5 always rounds up, and check the digit immediately after your rounding position!
Question 9: Division with Decimals
These division calculations all give decimal answers. Work them out: 4÷10 = 0.4, 40÷10 = 4, 4÷100 = 0.04, 40÷100 = 0.4.
You can see that 4÷10 and 40÷100 both equal 0.4, so that's your answer. Division by 10 moves the decimal point one place left, division by 100 moves it two places left.
Decimal Trick: Dividing by 10, 100, 1000 just moves the decimal point - no long division needed!
Questions 10 & 11: Prime Numbers and Ratios
Prime numbers only divide by 1 and themselves. From the list, the primes are 17, 19, and 23. The pair with a difference of 2 are 17 and 19.
For the ratio table, work out how many children per adult in each row. The 4-5 year olds have 24 children with 8 adults, giving 3 children per adult (24÷8=3).
Prime Memory: The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23 - worth memorising these!
We thought you’d never ask...
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4.8/5
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Year 6 SATS Reasoning Practice Paper
Chloe
@chloe_yr8
This is your guide to the 2024 KS2 Mathematics Paper 2: Reasoning test. You'll have 40 minutes to tackle various maths problems without a calculator, covering everything from geometry and graphs to number sequences and word problems.
Test Information and Setup
This is the cover page of your KS2 Mathematics reasoning paper. You'll need to fill in your personal details like name, date of birth, and school information before starting.
The test code M00070 A helps identify this specific paper. Make sure you write clearly in all the boxes so your test can be processed properly.
Quick Tip: Take a moment to fill in all your details carefully before the test begins - rushing this bit could cause problems later!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Blank Page
This page is intentionally left blank for the test layout. You shouldn't write anything here during your exam.
The page numbering shows this is page 2 of 24, so you've got plenty of questions ahead. Don't worry though - you'll work through them step by step.
Remember: Only write on pages that have actual questions on them!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Test Instructions
Here are the key rules you need to follow during your 40-minute test. No calculators allowed, so you'll be doing all calculations by hand or in your head.
You can use the space around each question for working out, which is really helpful for complex problems. Some questions have a special "Show your method" box where you can earn marks just for showing how you worked something out.
If you get stuck on a question, skip it and come back later. This stops you wasting precious time on one tricky problem when you could be earning marks on easier ones.
Smart Strategy: Always check the marks available for each question - it tells you how much time and effort to spend on it!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Question 1: Reflection
Time to show your geometry skills with this triangle reflection question. You need to draw the mirror image of the triangle across the given mirror line.
Use your ruler to measure carefully and make sure each point of the reflected triangle is the same distance from the mirror line as the original. Think of it like the triangle is looking in a mirror.
Top Tip: Count grid squares to help you place each corner of the reflected triangle in exactly the right spot!
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Question 2: Money Problem
This word problem tests your mental maths with money. Amir spent 50p total on two pieces of fruit.
Look at the prices: banana (12p), plum (23p), apple (32p), pear (38p). You need to find two fruits that add up to 50p exactly.
Try different combinations: 12p + 38p = 50p, so Amir bought a banana and a pear. Always double-check your addition!
Money Maths: Work backwards from the change given - it's often quicker than trying every combination!
Sign up to see the contentIt's free!
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Improve your grades
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By signing up you accept Terms of Service and Privacy Policy
Questions 3 & 4: Graphs and Sequences
The bar graph shows Layla's basketball points across games. She scored 25 points total after 4 games, and you can see she got 8 + 6 + 4 = 18 points in the first three games, so Game 4 must be 7 points.
For the number sequence, work out the pattern: -11 to 7 is +18, then 7 to 19 is +12. The sequence goes up by 6 each time: -11, -5, 1, 7, 13, 19.
Pattern Spotting: Always check your sequence by seeing if the differences between numbers stay the same!
Sign up to see the contentIt's free!
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Improve your grades
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By signing up you accept Terms of Service and Privacy Policy
Questions 5 & 6: Missing Numbers
The multiplication problem needs you to work out what digits make the calculation correct. Try different numbers systematically until 6 × 5 × something gives you the right answer.
For Olivia's mystery number, use the clues step by step: greater than 236, less than 245, has 3 in tens place 23_, and is even. The only number that fits all these clues is 238.
Detective Work: Cross out impossible answers as you go through each clue - it makes the final choice obvious!
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Questions 7 & 8: Multiplication and Rounding
The envelope problem is straightforward multiplication: 40 boxes × 25 envelopes = 1,000 envelopes total. Break it down if needed: 40 × 20 = 800, plus 40 × 5 = 200.
For the rounding questions, think about which numbers would round to give these answers. For example, numbers from 3,500 to 4,499 would round to 4,000 when rounded to the nearest thousand.
Rounding Rules: Remember that 5 always rounds up, and check the digit immediately after your rounding position!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Question 9: Division with Decimals
These division calculations all give decimal answers. Work them out: 4÷10 = 0.4, 40÷10 = 4, 4÷100 = 0.04, 40÷100 = 0.4.
You can see that 4÷10 and 40÷100 both equal 0.4, so that's your answer. Division by 10 moves the decimal point one place left, division by 100 moves it two places left.
Decimal Trick: Dividing by 10, 100, 1000 just moves the decimal point - no long division needed!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Questions 10 & 11: Prime Numbers and Ratios
Prime numbers only divide by 1 and themselves. From the list, the primes are 17, 19, and 23. The pair with a difference of 2 are 17 and 19.
For the ratio table, work out how many children per adult in each row. The 4-5 year olds have 24 children with 8 adults, giving 3 children per adult (24÷8=3).
Prime Memory: The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23 - worth memorising these!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Students love us — and so will you.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user