This is a Year 9 maths test that covers loads... Show more
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
17
4
Hira Khalid
23/11/2025
Maths
Year 9 Maths Paper
1,379
•
23 Nov 2025
•
Comprehensive Year 9 Maths Practice Paper
Hira Khalid
@hirakhalid_hoyb
1 / 10
Test Instructions and Setup
You've got one hour to tackle this test, and calculators are completely off-limits! This might sound scary, but it's actually brilliant practice for building your mental maths confidence.
The test starts easy and gets progressively harder, which means you can build momentum as you go. Make sure you've got a pen, pencil, rubber, and ruler ready - and grab some tracing paper if you can find it.
Always show your working because you can pick up marks even if your final answer isn't perfect. Write everything directly on the test paper and check your answers at the end.
Top Tip: Don't panic if you get stuck - the questions start simple and build up, so tackle what you can first!
Essential Formulae You'll Need
Two key formulae are provided that you absolutely must remember for your GCSEs. The trapezium area formula is ½h, where 'a' and 'b' are the parallel sides and 'h' is the height between them.
For volume of a prism, simply multiply the area of the cross-section by the length. This works for any prism shape - triangular, rectangular, or more complex ones.
These formulae pop up constantly in exams, so getting comfortable with them now will save you loads of stress later. Practice sketching the shapes and labelling the measurements clearly.
Remember: You can't use a calculator, so focus on understanding the methods rather than complex calculations!
Data Interpretation Skills
Reading tables correctly is a skill that'll serve you well across all your subjects. This question tests whether you can extract information from a simple two-way table about pupils' eye colours.
You need to work out what different numbers represent by adding up rows, columns, or the whole table. For instance, adding all the girls gives you total girls, whilst adding everything gives you the total class size.
The key is being methodical - don't rush and double-check your additions. These data handling skills are essential for statistics work in later years.
Quick Check: Always verify your answers make sense - if you get 50 pupils in a typical class, something's probably wrong!
Properties of Four-Sided Shapes
Understanding quadrilaterals and their properties is crucial for geometry. A shape with four equal angles means each angle is 90°, so you're looking at rectangles or squares.
When you need a four-sided shape without four equal angles, you've got loads of options - parallelograms, trapeziums, or irregular quadrilaterals all work perfectly.
The dot grid helps you create accurate shapes, so use it to your advantage. Count carefully to ensure your angles are what you intended.
Shape Tip: Remember that squares and rectangles both have four equal angles, but only squares have four equal sides too!
Real-World Measurements
Units and measurements connect maths to everyday life, making them super practical to master. A mouse weighs about 30 grams - roughly the same as a small chocolate bar.
Water bottles typically hold 1 litre, which is perfect for staying hydrated during school. Front doors are usually around 200cm tall - that's about 2 metres, or roughly the height of a tall person.
Getting a feel for these real-world measurements helps you spot silly mistakes in calculations. If your answer suggests a mouse weighs 30 kilograms, you know something's gone wrong!
Memory Trick: A litre of water weighs about 1 kilogram - handy for checking if your answers make sense!
Number Patterns and Operations
Function machines help you understand how numbers transform through different operations. You're working backwards and forwards to find missing values in the sequence.
Start with what you know and work step-by-step through each operation. If you multiply by 2 then add something to get from 10 to 40, think about what makes sense mathematically.
These skills are building blocks for algebra - you're essentially solving equations without realizing it! The more comfortable you get with number relationships, the easier algebra becomes.
Strategy: Work backwards from the final answer if you're stuck - sometimes it's clearer that way!
3D Visualisation with Cubes
Spatial reasoning is like a mental workout for your brain! You need to imagine rotating and viewing cube arrangements from different angles.
Look for patterns in how the cubes are connected and positioned. The challenge is making both arrangements identical by shading just one extra cube in each pair.
This type of 3D thinking is brilliant preparation for design technology, art, and even subjects like chemistry where you need to visualise molecular structures.
Visual Tip: Try tilting your head or the paper to see the shapes from different angles - it really helps!
Estimation and Proportion
Estimation skills are incredibly useful in real life - from calculating tips to checking if shop prices make sense. You can see that the shaded area contains 200 seats around part of the tennis court.
Look at what fraction of the total seating area is shaded, then scale up proportionally. If the shaded bit looks like about a quarter of the total, multiply 200 by 4.
Proportional reasoning like this helps you make quick, sensible estimates without needing exact calculations. It's a skill employers really value!
Real-World Connection: This is exactly how you'd estimate crowd sizes at concerts or sports events!
Mental Multiplication and Decimals
Mental arithmetic becomes much easier when you spot patterns in numbers. For multiplication, think about factors and how numbers relate to each other.
Decimal number lines help you understand values between whole numbers. The key is recognizing that 1.5 is halfway between 1 and 2, whilst 0.65 sits between 0.6 and 0.7.
These skills build your number confidence enormously. When you can work comfortably with decimals and multiplication without a calculator, more complex maths becomes much less intimidating.
Pattern Spotting: Look for relationships like doubling, halving, or adding/subtracting the same amount!
Accurate Drawing and Scale
Technical drawing skills are essential for many careers, from architecture to engineering. You need to create a paper strip that covers exactly four faces of a 2cm cube.
Think about how the faces connect when you unfold a cube - this is called a net. Your strip needs to be 2cm wide and long enough to cover four connected faces.
Use the centimetre grid to ensure your drawing is accurate. Measure twice, draw once - precision matters in technical subjects and will serve you well in science practicals too.
Visualisation Help: Try imagining wrapping a present - how would you cut the paper to cover just four sides?
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.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
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
Comprehensive Year 9 Maths Practice Paper
Hira Khalid
@hirakhalid_hoyb
This is a Year 9 maths test that covers loads of essential topics you'll need to master. It's designed to test your skills without a calculator, so it's all about understanding the fundamentals and showing your working clearly.
Test Instructions and Setup
You've got one hour to tackle this test, and calculators are completely off-limits! This might sound scary, but it's actually brilliant practice for building your mental maths confidence.
The test starts easy and gets progressively harder, which means you can build momentum as you go. Make sure you've got a pen, pencil, rubber, and ruler ready - and grab some tracing paper if you can find it.
Always show your working because you can pick up marks even if your final answer isn't perfect. Write everything directly on the test paper and check your answers at the end.
Top Tip: Don't panic if you get stuck - the questions start simple and build up, so tackle what you can first!
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
Essential Formulae You'll Need
Two key formulae are provided that you absolutely must remember for your GCSEs. The trapezium area formula is ½h, where 'a' and 'b' are the parallel sides and 'h' is the height between them.
For volume of a prism, simply multiply the area of the cross-section by the length. This works for any prism shape - triangular, rectangular, or more complex ones.
These formulae pop up constantly in exams, so getting comfortable with them now will save you loads of stress later. Practice sketching the shapes and labelling the measurements clearly.
Remember: You can't use a calculator, so focus on understanding the methods rather than complex calculations!
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
Data Interpretation Skills
Reading tables correctly is a skill that'll serve you well across all your subjects. This question tests whether you can extract information from a simple two-way table about pupils' eye colours.
You need to work out what different numbers represent by adding up rows, columns, or the whole table. For instance, adding all the girls gives you total girls, whilst adding everything gives you the total class size.
The key is being methodical - don't rush and double-check your additions. These data handling skills are essential for statistics work in later years.
Quick Check: Always verify your answers make sense - if you get 50 pupils in a typical class, something's probably wrong!
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
Properties of Four-Sided Shapes
Understanding quadrilaterals and their properties is crucial for geometry. A shape with four equal angles means each angle is 90°, so you're looking at rectangles or squares.
When you need a four-sided shape without four equal angles, you've got loads of options - parallelograms, trapeziums, or irregular quadrilaterals all work perfectly.
The dot grid helps you create accurate shapes, so use it to your advantage. Count carefully to ensure your angles are what you intended.
Shape Tip: Remember that squares and rectangles both have four equal angles, but only squares have four equal sides too!
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
Real-World Measurements
Units and measurements connect maths to everyday life, making them super practical to master. A mouse weighs about 30 grams - roughly the same as a small chocolate bar.
Water bottles typically hold 1 litre, which is perfect for staying hydrated during school. Front doors are usually around 200cm tall - that's about 2 metres, or roughly the height of a tall person.
Getting a feel for these real-world measurements helps you spot silly mistakes in calculations. If your answer suggests a mouse weighs 30 kilograms, you know something's gone wrong!
Memory Trick: A litre of water weighs about 1 kilogram - handy for checking if your answers make sense!
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
Number Patterns and Operations
Function machines help you understand how numbers transform through different operations. You're working backwards and forwards to find missing values in the sequence.
Start with what you know and work step-by-step through each operation. If you multiply by 2 then add something to get from 10 to 40, think about what makes sense mathematically.
These skills are building blocks for algebra - you're essentially solving equations without realizing it! The more comfortable you get with number relationships, the easier algebra becomes.
Strategy: Work backwards from the final answer if you're stuck - sometimes it's clearer that way!
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
3D Visualisation with Cubes
Spatial reasoning is like a mental workout for your brain! You need to imagine rotating and viewing cube arrangements from different angles.
Look for patterns in how the cubes are connected and positioned. The challenge is making both arrangements identical by shading just one extra cube in each pair.
This type of 3D thinking is brilliant preparation for design technology, art, and even subjects like chemistry where you need to visualise molecular structures.
Visual Tip: Try tilting your head or the paper to see the shapes from different angles - it really helps!
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
Estimation and Proportion
Estimation skills are incredibly useful in real life - from calculating tips to checking if shop prices make sense. You can see that the shaded area contains 200 seats around part of the tennis court.
Look at what fraction of the total seating area is shaded, then scale up proportionally. If the shaded bit looks like about a quarter of the total, multiply 200 by 4.
Proportional reasoning like this helps you make quick, sensible estimates without needing exact calculations. It's a skill employers really value!
Real-World Connection: This is exactly how you'd estimate crowd sizes at concerts or sports events!
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
Mental Multiplication and Decimals
Mental arithmetic becomes much easier when you spot patterns in numbers. For multiplication, think about factors and how numbers relate to each other.
Decimal number lines help you understand values between whole numbers. The key is recognizing that 1.5 is halfway between 1 and 2, whilst 0.65 sits between 0.6 and 0.7.
These skills build your number confidence enormously. When you can work comfortably with decimals and multiplication without a calculator, more complex maths becomes much less intimidating.
Pattern Spotting: Look for relationships like doubling, halving, or adding/subtracting the same amount!
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
Accurate Drawing and Scale
Technical drawing skills are essential for many careers, from architecture to engineering. You need to create a paper strip that covers exactly four faces of a 2cm cube.
Think about how the faces connect when you unfold a cube - this is called a net. Your strip needs to be 2cm wide and long enough to cover four connected faces.
Use the centimetre grid to ensure your drawing is accurate. Measure twice, draw once - precision matters in technical subjects and will serve you well in science practicals too.
Visualisation Help: Try imagining wrapping a present - how would you cut the paper to cover just four sides?
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.
17
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Mock Exam
Quiz
Flashcards
Essay
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
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