This Year 9 maths test covers essential KS3 topics that... Show more
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1,744
•
12 Dec 2025
•
Year 9 Start of Year Practice Questions
Hira Khalid
@hirakhalid_hoyb
1 / 10
Test Instructions and Setup
You've got one hour to tackle this 50-mark test, so time management is crucial. The good news? You can use a calculator, which means you can focus on understanding the methods rather than getting stuck on tricky calculations.
Show your working for every question - even if your final answer isn't perfect, you can still pick up marks for using the right method. Think of it as getting credit for your mathematical thinking, not just the end result.
Top tip: Use the mark allocations as your time guide. A 1-mark question shouldn't take as long as a 3-mark problem!
Scatter Diagrams and Correlation
Scatter diagrams help you spot patterns between two sets of data - in this case, maths and science test scores. When points generally go up together, that's positive correlation.
Drawing a line of best fit means sketching a straight line that passes as close as possible to all the points, with roughly equal numbers of points above and below your line. Don't worry about making it perfect - just aim for a line that shows the general trend.
This type of question often appears in exams because it tests both your ability to interpret data and your understanding of relationships between variables.
Remember: Correlation doesn't mean one thing causes another - it just shows they're connected somehow!
Number Properties and 3D Shapes
Prime numbers only divide by 1 and themselves - between 20 and 30, you've got 23 and 29 to choose from. For the highest common factor (HCF), list the factors of both numbers and pick the biggest one they share.
The triangular prism volume uses the formula: area of triangle × length. First work out the triangle's area using ½ × base × height, then multiply by the prism's length. Don't forget to include cubic units in your answer!
These fundamental skills pop up everywhere in maths, so getting comfortable with them now will make GCSE topics much easier to tackle.
Quick check: Always include units for area (cm²) and volume (cm³) questions - it's an easy mark to lose!
Ratio and Algebraic Expressions
Ratios work like recipes - if Neil plants apple and pear trees in the ratio 5:2, and he's got 20 apple trees, you can work out that each "part" represents 4 trees. So 2 parts means 8 pear trees.
The expression p² means "p multiplied by itself" - not p × 2! If p² + 5 = 21, then p² must equal 16. You can use this to solve other expressions without finding p itself.
Understanding these algebraic shortcuts will save you loads of time in more complex problems later on.
Pro tip: When working with ratios, always find the value of one part first, then multiply to find the other quantities!
Fractions, Decimals and Angle Properties
Converting between mixed numbers and improper fractions helps you compare values. Calculate 4/7 of 28 by dividing 28 by 7, then multiplying by 4 - much easier than you might think!
Angle properties in triangles and parallel lines follow predictable rules. Alternate angles are equal , corresponding angles are equal , and angles in a triangle always add up to 180°.
These angle rules are your mathematical toolkit for solving geometry problems - memorise the patterns and you'll spot them everywhere.
Memory aid: Think of angle patterns as letters - Z for alternate, F for corresponding, and C for co-interior angles!
Using Formulae and Transformations
Physics formulae in maths tests usually just need substitution - plug in the numbers and calculate. Use v = u + at first to find v, then substitute into the second formula to find s.
Enlargements multiply all lengths by the scale factor - here it's 3, so every measurement becomes three times bigger. Count squares carefully from the centre point P to get each new vertex in the right place.
These transformation skills link directly to coordinate geometry and similarity in GCSE maths.
Key insight: In enlargements, the shape gets bigger but stays exactly the same shape - all angles remain unchanged!
Factorising and Real-World Problems
Factorising means finding the biggest number (or letter) that divides into all terms. For 15x - 20, both terms divide by 5. For 2y² + 7y, both terms contain y.
Currency conversion problems test your ability to apply maths to real situations. Convert the American prices to pounds using the exchange rate, then compare total costs. Always show your working clearly.
These problem-solving skills demonstrate how maths applies to everyday situations you'll actually encounter.
Money matters: When converting currencies, always check whether you're multiplying or dividing by the exchange rate!
Distance-Time Graphs and Speed Calculations
Distance-time graphs tell stories about journeys. Horizontal lines show someone staying still (constant distance from home). Sloping lines show movement - steeper slopes mean faster speeds.
To calculate speed, use the formula: speed = distance ÷ time. Read the values carefully from the graph axes and don't forget to include units in your answer.
Graph interpretation skills are essential for GCSE maths and science, so practising these now gives you a real advantage.
Graph reading tip: Always check the scale on both axes - don't assume each square represents 1 unit!
We thought you’d never ask...
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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
Year 9 Start of Year Practice Questions
Hira Khalid
@hirakhalid_hoyb
This Year 9 maths test covers essential KS3 topics that you'll need to master before moving into GCSE maths. It includes everything from basic number work to geometry, algebra, and data handling - all designed to test your understanding across... Show more
Test Instructions and Setup
You've got one hour to tackle this 50-mark test, so time management is crucial. The good news? You can use a calculator, which means you can focus on understanding the methods rather than getting stuck on tricky calculations.
Show your working for every question - even if your final answer isn't perfect, you can still pick up marks for using the right method. Think of it as getting credit for your mathematical thinking, not just the end result.
Top tip: Use the mark allocations as your time guide. A 1-mark question shouldn't take as long as a 3-mark problem!
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
Scatter Diagrams and Correlation
Scatter diagrams help you spot patterns between two sets of data - in this case, maths and science test scores. When points generally go up together, that's positive correlation.
Drawing a line of best fit means sketching a straight line that passes as close as possible to all the points, with roughly equal numbers of points above and below your line. Don't worry about making it perfect - just aim for a line that shows the general trend.
This type of question often appears in exams because it tests both your ability to interpret data and your understanding of relationships between variables.
Remember: Correlation doesn't mean one thing causes another - it just shows they're connected somehow!
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 Properties and 3D Shapes
Prime numbers only divide by 1 and themselves - between 20 and 30, you've got 23 and 29 to choose from. For the highest common factor (HCF), list the factors of both numbers and pick the biggest one they share.
The triangular prism volume uses the formula: area of triangle × length. First work out the triangle's area using ½ × base × height, then multiply by the prism's length. Don't forget to include cubic units in your answer!
These fundamental skills pop up everywhere in maths, so getting comfortable with them now will make GCSE topics much easier to tackle.
Quick check: Always include units for area (cm²) and volume (cm³) questions - it's an easy mark to lose!
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
Ratio and Algebraic Expressions
Ratios work like recipes - if Neil plants apple and pear trees in the ratio 5:2, and he's got 20 apple trees, you can work out that each "part" represents 4 trees. So 2 parts means 8 pear trees.
The expression p² means "p multiplied by itself" - not p × 2! If p² + 5 = 21, then p² must equal 16. You can use this to solve other expressions without finding p itself.
Understanding these algebraic shortcuts will save you loads of time in more complex problems later on.
Pro tip: When working with ratios, always find the value of one part first, then multiply to find the other quantities!
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
Fractions, Decimals and Angle Properties
Converting between mixed numbers and improper fractions helps you compare values. Calculate 4/7 of 28 by dividing 28 by 7, then multiplying by 4 - much easier than you might think!
Angle properties in triangles and parallel lines follow predictable rules. Alternate angles are equal , corresponding angles are equal , and angles in a triangle always add up to 180°.
These angle rules are your mathematical toolkit for solving geometry problems - memorise the patterns and you'll spot them everywhere.
Memory aid: Think of angle patterns as letters - Z for alternate, F for corresponding, and C for co-interior angles!
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
Using Formulae and Transformations
Physics formulae in maths tests usually just need substitution - plug in the numbers and calculate. Use v = u + at first to find v, then substitute into the second formula to find s.
Enlargements multiply all lengths by the scale factor - here it's 3, so every measurement becomes three times bigger. Count squares carefully from the centre point P to get each new vertex in the right place.
These transformation skills link directly to coordinate geometry and similarity in GCSE maths.
Key insight: In enlargements, the shape gets bigger but stays exactly the same shape - all angles remain unchanged!
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
Factorising and Real-World Problems
Factorising means finding the biggest number (or letter) that divides into all terms. For 15x - 20, both terms divide by 5. For 2y² + 7y, both terms contain y.
Currency conversion problems test your ability to apply maths to real situations. Convert the American prices to pounds using the exchange rate, then compare total costs. Always show your working clearly.
These problem-solving skills demonstrate how maths applies to everyday situations you'll actually encounter.
Money matters: When converting currencies, always check whether you're multiplying or dividing by the exchange rate!
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
Distance-Time Graphs and Speed Calculations
Distance-time graphs tell stories about journeys. Horizontal lines show someone staying still (constant distance from home). Sloping lines show movement - steeper slopes mean faster speeds.
To calculate speed, use the formula: speed = distance ÷ time. Read the values carefully from the graph axes and don't forget to include units in your answer.
Graph interpretation skills are essential for GCSE maths and science, so practising these now gives you a real advantage.
Graph reading tip: Always check the scale on both axes - don't assume each square represents 1 unit!
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
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
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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Most popular content: Word Problems
Most popular content in Maths
Most popular content
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