This Year 9 Maths test mark scheme shows you exactly... Show more
SociologySign 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
14
0
Hira Khalid
05/12/2025
Maths
Mark scheme
488
•
5 Dec 2025
•
Comprehensive Mark Scheme Guidelines
Hira Khalid
@hirakhalid_hoyb
1 / 8
Test Overview
This is just the title page for your Year 9 Maths Test mark scheme. Think of this as your roadmap to understanding how examiners mark your work and what they're looking for in your answers.
The mark scheme will help you see exactly where marks are awarded and lost. This is brilliant for improving your exam technique before you sit your actual GCSEs.
Top Tip: Always check mark schemes after practice tests to understand where you can pick up extra marks!
Grade Boundaries and Marking
Here's how your raw marks convert to GCSE grades. You need 44-50 marks to hit that crucial grade 5 (equivalent to the old grade 4 level).
The boundaries show you don't need perfect scores to do well. Even 35 marks gets you a grade 4, which is a solid pass.
Third Space Learning uses these boundaries to help schools identify students who need extra support to reach their target grades.
Remember: These boundaries can vary slightly between different exam boards and years, but they give you a good idea of what to aim for.
Questions 1-5 Mark Breakdown
Scatter graphs and correlation appear in Q1, where you need to recognise positive correlation and draw a reasonable line of best fit. The key is having roughly equal points above and below your line.
Volume calculations in Q3 require you to multiply length × width × height correctly, giving 48cm³. Don't forget those units - they're often worth a mark!
For order of operations (Q4), remember BIDMAS: 20 ÷ 5 × 2 = 8. Work from left to right after handling brackets and indices first.
Prime factorisation questions reward showing your working clearly. List at least 6 factors or show the complete prime factorisation to grab those method marks.
Exam Hack: Always show your working step-by-step - you can still get marks even if your final answer is wrong!
Questions 6-9 Solutions
Comparing fractions and decimals requires converting to the same format. Convert 16/5 = 3.2 and 13/4 = 3.25, then compare using < or = symbols.
Angle calculations in triangles and parallel lines are massive GCSE topics. Remember: vertically opposite angles are equal, alternate angles are equal, and triangle angles sum to 180°.
The substitution question (Q8) tests your algebra skills. Substitute values carefully: v = 2 + 1 × 8 = 10, then use this in the next equation.
Enlargements need both the scale factor (3 in this case) and the correct positioning from the centre of enlargement.
Grade Booster: Learn your angle rules by heart - they come up in almost every GCSE paper!
Questions 10-14 Advanced Topics
Factorising expressions like 5 and y shows you can spot common factors. Look for what multiplies into each term.
Currency conversion problems test real-world maths. Convert between pounds and dollars using the exchange rate, and don't forget about VAT calculations.
Distance-time graphs tell stories: horizontal lines mean stationary, sloping lines show movement. Calculate speed using distance ÷ time.
Percentage increase uses the formula: ÷ old × 100. The 12% increase shows prices rising significantly.
Area of trapeziums uses ½h, leading to inequalities you solve by collecting like terms.
Real-World Connection: These currency and percentage skills are exactly what you'll use when travelling abroad or managing money!
Questions 15-16 Statistics and Probability
Mean calculations from frequency tables require multiplying each value by its frequency, then dividing by total frequency. The formula gives 20/16 = 1.25 average siblings.
Combined averages get trickier when joining two groups. Work out total values (42 + 20 = 62) and total frequencies (24 + 16 = 40) separately.
Probability tree diagrams show all possible outcomes clearly. Calculate probabilities for each branch: P(not win chess) = 1 - 0.4 = 0.6.
Multiply along branches for combined probabilities: 0.4 × 0.7 = 0.28 for winning chess then winning Scrabble.
Statistics Tip: Always check your probabilities add up to 1 - if they don't, you've made an error somewhere!
Questions 17-18 Coordinate Geometry and Standard Form
Midpoint formula finds the centre between two points: . This gives (0.5, 11) for the given coordinates.
Distance between points uses Pythagoras theorem: √. With differences of 5 and 12, you get √(5² + 12²) = √169 = 13.
Standard form calculations need careful handling of powers of 10. Divide the numbers normally, then subtract the indices: 2.1 × 10² ÷ 7 × 10⁰ = 30.
Multiplying in standard form: multiply the decimal parts and add the indices. 1.89 × 10⁵ × 30 = 5.67 × 10⁶.
Calculator Tip: Your calculator can handle standard form - look for the EXP or × 10ˣ button for complex calculations!
Additional Support Information
This final page advertises Third Space Learning's GCSE revision programme - personalised one-to-one tutoring specifically designed for students preparing for their maths GCSEs.
The programme focuses on securing core content and building familiarity with exam-style questions. This is exactly the kind of targeted support that can make the difference between grade boundaries.
If you're struggling with any of the topics covered in this mark scheme, additional tutoring might help you reach your potential in the actual exams.
Study Smart: Whether through tutoring or self-study, regular practice with mark schemes like this one is the key to GCSE success!
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.
Most popular content: Numeracy Skills
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
Comprehensive Mark Scheme Guidelines
Hira Khalid
@hirakhalid_hoyb
This Year 9 Maths test mark scheme shows you exactly how to score top marks across all the key topics you've been studying. It covers everything from basic calculations to more complex algebra, geometry, and probability questions that'll prepare you... Show more
Test Overview
This is just the title page for your Year 9 Maths Test mark scheme. Think of this as your roadmap to understanding how examiners mark your work and what they're looking for in your answers.
The mark scheme will help you see exactly where marks are awarded and lost. This is brilliant for improving your exam technique before you sit your actual GCSEs.
Top Tip: Always check mark schemes after practice tests to understand where you can pick up extra marks!
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
Grade Boundaries and Marking
Here's how your raw marks convert to GCSE grades. You need 44-50 marks to hit that crucial grade 5 (equivalent to the old grade 4 level).
The boundaries show you don't need perfect scores to do well. Even 35 marks gets you a grade 4, which is a solid pass.
Third Space Learning uses these boundaries to help schools identify students who need extra support to reach their target grades.
Remember: These boundaries can vary slightly between different exam boards and years, but they give you a good idea of what to aim for.
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 1-5 Mark Breakdown
Scatter graphs and correlation appear in Q1, where you need to recognise positive correlation and draw a reasonable line of best fit. The key is having roughly equal points above and below your line.
Volume calculations in Q3 require you to multiply length × width × height correctly, giving 48cm³. Don't forget those units - they're often worth a mark!
For order of operations (Q4), remember BIDMAS: 20 ÷ 5 × 2 = 8. Work from left to right after handling brackets and indices first.
Prime factorisation questions reward showing your working clearly. List at least 6 factors or show the complete prime factorisation to grab those method marks.
Exam Hack: Always show your working step-by-step - you can still get marks even if your final answer is 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
Questions 6-9 Solutions
Comparing fractions and decimals requires converting to the same format. Convert 16/5 = 3.2 and 13/4 = 3.25, then compare using < or = symbols.
Angle calculations in triangles and parallel lines are massive GCSE topics. Remember: vertically opposite angles are equal, alternate angles are equal, and triangle angles sum to 180°.
The substitution question (Q8) tests your algebra skills. Substitute values carefully: v = 2 + 1 × 8 = 10, then use this in the next equation.
Enlargements need both the scale factor (3 in this case) and the correct positioning from the centre of enlargement.
Grade Booster: Learn your angle rules by heart - they come up in almost every GCSE paper!
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 10-14 Advanced Topics
Factorising expressions like 5 and y shows you can spot common factors. Look for what multiplies into each term.
Currency conversion problems test real-world maths. Convert between pounds and dollars using the exchange rate, and don't forget about VAT calculations.
Distance-time graphs tell stories: horizontal lines mean stationary, sloping lines show movement. Calculate speed using distance ÷ time.
Percentage increase uses the formula: ÷ old × 100. The 12% increase shows prices rising significantly.
Area of trapeziums uses ½h, leading to inequalities you solve by collecting like terms.
Real-World Connection: These currency and percentage skills are exactly what you'll use when travelling abroad or managing money!
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 15-16 Statistics and Probability
Mean calculations from frequency tables require multiplying each value by its frequency, then dividing by total frequency. The formula gives 20/16 = 1.25 average siblings.
Combined averages get trickier when joining two groups. Work out total values (42 + 20 = 62) and total frequencies (24 + 16 = 40) separately.
Probability tree diagrams show all possible outcomes clearly. Calculate probabilities for each branch: P(not win chess) = 1 - 0.4 = 0.6.
Multiply along branches for combined probabilities: 0.4 × 0.7 = 0.28 for winning chess then winning Scrabble.
Statistics Tip: Always check your probabilities add up to 1 - if they don't, you've made an error somewhere!
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 17-18 Coordinate Geometry and Standard Form
Midpoint formula finds the centre between two points: . This gives (0.5, 11) for the given coordinates.
Distance between points uses Pythagoras theorem: √. With differences of 5 and 12, you get √(5² + 12²) = √169 = 13.
Standard form calculations need careful handling of powers of 10. Divide the numbers normally, then subtract the indices: 2.1 × 10² ÷ 7 × 10⁰ = 30.
Multiplying in standard form: multiply the decimal parts and add the indices. 1.89 × 10⁵ × 30 = 5.67 × 10⁶.
Calculator Tip: Your calculator can handle standard form - look for the EXP or × 10ˣ button for 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
Additional Support Information
This final page advertises Third Space Learning's GCSE revision programme - personalised one-to-one tutoring specifically designed for students preparing for their maths GCSEs.
The programme focuses on securing core content and building familiarity with exam-style questions. This is exactly the kind of targeted support that can make the difference between grade boundaries.
If you're struggling with any of the topics covered in this mark scheme, additional tutoring might help you reach your potential in the actual exams.
Study Smart: Whether through tutoring or self-study, regular practice with mark schemes like this one is the key to GCSE success!
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.
14
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Mock Exam
Quiz
Flashcards
Essay
Similar content
GCSE Maths Practice: Non-Calculator
This comprehensive practice paper covers key GCSE Maths concepts including percentages, probability, circle geometry, and volume calculations. With detailed workings and a scored result of 47/50, this resource is ideal for Higher Tier students preparing for their exams. Perfect for mastering non-calculator techniques and improving problem-solving skills.
Maths9
GCSE Maths 2018 Exam Insights
Explore the key concepts from the 2018 GCSE Maths Paper 2, including compound interest, probability, standard form, and geometric transformations. This comprehensive summary covers essential topics such as interest rates, area calculations, and Venn diagrams, providing students with a clear understanding of the exam's requirements. Ideal for exam preparation and practice.
Maths9
Year 9 Maths Assessment
This comprehensive Year 9 Maths Assessment covers key concepts such as correlation, mean calculations, probability, geometry, and unit conversions. Ideal for KS3 students preparing for their maths exams, this resource includes questions on scatter plots, distance-time graphs, and factorization. Enhance your understanding of essential maths skills and boost your exam readiness with targeted practice.
Maths8
Multiplication Mastery: 6 & 7
Enhance your multiplication skills with this focused study sheet covering the 6 and 7 times tables. Perfect for mastering multiplication and division concepts, this resource includes key properties of multiplication and practical exercises to reinforce learning. Ideal for students looking to improve their math proficiency.
Maths7
Understanding Integers
Explore the fundamentals of integers, including their placement on a number line, operations involving positive and negative integers, and the concepts of ascending and descending order. This summary covers key rules for multiplication and division, as well as place value. Ideal for students looking to strengthen their numeracy skills.
Maths7
2007 KS3 Maths Mark Scheme
Explore the comprehensive mark scheme for the 2007 KS3 Mathematics test, covering key concepts such as triangle congruence, probability models, area and perimeter calculations, and more. This resource is essential for understanding the evaluation criteria and improving your mathematical skills. Ideal for Year 7 students preparing for assessments.
Maths7
Most popular content: Numeracy Skills
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