A comprehensive guide to Year 11 Higher mock exam practice... Show more
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13 Jan 2026
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Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!
iqra
@iqra_ifso
1 / 10
Question 2: Cube Geometry
This question explores the relationship between surface area and volume of a cube, requiring reverse calculation from surface area to find volume.
Definition: Surface area is the total area of all faces of a 3D shape Vocabulary: Total surface area of a cube = 6x², where x is the length of one edge Example: For a cube with surface area 150cm², the edge length is 5cm and volume is 125cm³
Question 3: Set Theory and Probability
This question tests understanding of Venn diagrams and probability concepts using sets of numbers with specific properties.
Definition: A Venn diagram shows relationships between different sets Vocabulary: B' (complement of set B) contains all elements not in set B Example: Odd numbers and square numbers are represented in different regions of the Venn diagram
Question 4: Percentage Calculations
This question involves reverse percentage calculations in a real-world context of holiday pricing.
Example: If a 20% increase equals £240, the original price can be calculated by finding 10% (£120) and multiplying by 10 Highlight: Working backwards from the percentage increase to find the original amount
Question 5: Simultaneous Equations
This question tests graphical solution of simultaneous equations using line intersections.
Definition: The point of intersection of two lines represents the solution to simultaneous equations Example: The equations 2-2y=x and 2y=3x-22 are solved graphically Highlight: The solution can be verified by substituting coordinates into both equations
Question 6: Algebraic Manipulation
This question involves expanding brackets and combining like terms in algebraic expressions.
Vocabulary: Terms with the same variables and powers can be combined Example: (6x²y³)² is expanded using the power rule Highlight: Final answer must be in the form ax^b y^c where a, b, c are integers
Question 7: Direct Proportion
This question tests understanding of direct proportion relationships and calculations.
Definition: Direct proportion means y = kx where k is the constant of proportionality Example: Using y = 24 when x = 1.5 to find k, then calculating y when x = 5 Highlight: All working steps must be shown to demonstrate understanding
Question 8: Perpendicular Lines
This question explores the relationship between gradients of perpendicular lines.
Definition: Perpendicular lines have gradients that are negative reciprocals of each other Example: If one line has gradient m, the perpendicular line has gradient -1/m Highlight: The solution requires solving equations to find the value of k
Question 9: Formula Rearrangement
This question tests ability to make x the subject of a complex formula.
Example: Rearranging y = 4/ to isolate x Highlight: Multiple steps of algebraic manipulation required
Question 10: Counting Principles
This question involves applying multiplication principle in a restaurant menu context.
Example: 5 starters × 12 main courses × x desserts = 420 combinations Highlight: Real-world application of counting principles
Question 11: Circle Theorems
This question tests knowledge and application of circle theorems.
Definition: A tangent is perpendicular to the radius at the point of contact Example: Using circle theorems to find angle ADC Highlight: Multiple circle theorems must be applied sequentially
We thought you’d never ask...
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Most popular content: Algebraic Manipulation
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 Knowunity AI. 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 Knowunity AI. 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 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!
iqra
@iqra_ifso
A comprehensive guide to Year 11 Higher mock exam practice questions covering various mathematical concepts including geometry, algebra, and probability.
- The mock exam consists of 12 questions worth 38 marks total, designed to test advanced mathematical skills
- Questions range from... Show more
Question 2: Cube Geometry
This question explores the relationship between surface area and volume of a cube, requiring reverse calculation from surface area to find volume.
Definition: Surface area is the total area of all faces of a 3D shape Vocabulary: Total surface area of a cube = 6x², where x is the length of one edge Example: For a cube with surface area 150cm², the edge length is 5cm and volume is 125cm³
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 3: Set Theory and Probability
This question tests understanding of Venn diagrams and probability concepts using sets of numbers with specific properties.
Definition: A Venn diagram shows relationships between different sets Vocabulary: B' (complement of set B) contains all elements not in set B Example: Odd numbers and square numbers are represented in different regions of the Venn diagram
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 4: Percentage Calculations
This question involves reverse percentage calculations in a real-world context of holiday pricing.
Example: If a 20% increase equals £240, the original price can be calculated by finding 10% (£120) and multiplying by 10 Highlight: Working backwards from the percentage increase to find the original 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
Question 5: Simultaneous Equations
This question tests graphical solution of simultaneous equations using line intersections.
Definition: The point of intersection of two lines represents the solution to simultaneous equations Example: The equations 2-2y=x and 2y=3x-22 are solved graphically Highlight: The solution can be verified by substituting coordinates into both equations
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 6: Algebraic Manipulation
This question involves expanding brackets and combining like terms in algebraic expressions.
Vocabulary: Terms with the same variables and powers can be combined Example: (6x²y³)² is expanded using the power rule Highlight: Final answer must be in the form ax^b y^c where a, b, c are integers
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 7: Direct Proportion
This question tests understanding of direct proportion relationships and calculations.
Definition: Direct proportion means y = kx where k is the constant of proportionality Example: Using y = 24 when x = 1.5 to find k, then calculating y when x = 5 Highlight: All working steps must be shown to demonstrate understanding
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 8: Perpendicular Lines
This question explores the relationship between gradients of perpendicular lines.
Definition: Perpendicular lines have gradients that are negative reciprocals of each other Example: If one line has gradient m, the perpendicular line has gradient -1/m Highlight: The solution requires solving equations to find the value of k
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: Formula Rearrangement
This question tests ability to make x the subject of a complex formula.
Example: Rearranging y = 4/ to isolate x Highlight: Multiple steps of algebraic manipulation required
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 10: Counting Principles
This question involves applying multiplication principle in a restaurant menu context.
Example: 5 starters × 12 main courses × x desserts = 420 combinations Highlight: Real-world application of counting principles
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 11: Circle Theorems
This question tests knowledge and application of circle theorems.
Definition: A tangent is perpendicular to the radius at the point of contact Example: Using circle theorems to find angle ADC Highlight: Multiple circle theorems must be applied sequentially
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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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 Knowunity AI. 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 Knowunity AI. 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