The Formula sheet for year 11 higher math students pdf... Show more
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Updated Mar 19, 2026
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Daisy Vance
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The Formula sheet for year 11 higher math students pdf... Show more

Page 2 of the Higher maths formula sheet pdf focuses on more advanced topics, with a particular emphasis on circle theorems and trigonometry. The page begins with a detailed diagram of circle geometry, illustrating key terms such as radius, diameter, tangent, and chord.
Definition: A tangent is a line that touches a circle at exactly one point.
The sheet then lists several important circle theorems, including the relationships between angles in cyclic quadrilaterals and the properties of tangents. These theorems are essential for solving complex geometry problems in the GCSE Maths formula sheet Edexcel Higher.
Trigonometry is covered extensively, with the SOH CAH TOA mnemonic prominently displayed. The sine and cosine rules for non-right-angled triangles are also included, along with the quadratic formula for solving quadratic equations.
Highlight: The page provides formulas for calculating areas of various shapes, including circles, sectors, and polygons.
Probability concepts are introduced, including the addition and multiplication rules for independent events. The sheet concludes with formulas for volume calculations of 3D shapes and a brief section on statistical measures.
Quote: "P(A or B) = P(A) + P(B)" - This formula represents the addition rule for mutually exclusive events in probability.
This comprehensive Formula sheet for year 11 higher math students 2024 serves as an invaluable resource for students preparing for their GCSE Maths exams, covering all the essential formulas and concepts required for success in the higher tier.

Page 1 of the Formula sheet for year 11 higher math students gcse covers a wide range of mathematical topics crucial for GCSE Higher Maths. It begins with graph transformations, explaining how different functions affect the shape and position of graphs. The sheet then moves on to various types of graphs, including linear, quadratic, and cubic functions.
Highlight: The page includes a comprehensive section on nth term calculations, both for arithmetic and quadratic sequences.
The document also covers important algebraic concepts such as BIDMAS (order of operations) and the trapezium rule for approximating areas under curves. Trigonometric values for common angles are provided, along with formulas for percentage changes and simple interest calculations.
Vocabulary: Surds are introduced, which are expressions involving square roots that cannot be simplified to whole numbers.
Towards the end of the page, there are sections on loci, repeated percentage changes, and the midpoint formula for lines. The formula for the equation of a straight line is also explained.
Example: For the equation of a straight line, 'm' represents the gradient, and 'c' is the y-intercept.
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.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App Store
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
Daisy Vance
@aisyance_mblm
The Formula sheet for year 11 higher math students pdf provides a comprehensive overview of essential mathematical concepts and formulas for GCSE-level students. This guide covers various topics including graph transformations, trigonometry, circle theorems, probability, and geometric formulas.
• Key... Show more

Access to all documents
Improve your grades
Join milions of students
Page 2 of the Higher maths formula sheet pdf focuses on more advanced topics, with a particular emphasis on circle theorems and trigonometry. The page begins with a detailed diagram of circle geometry, illustrating key terms such as radius, diameter, tangent, and chord.
Definition: A tangent is a line that touches a circle at exactly one point.
The sheet then lists several important circle theorems, including the relationships between angles in cyclic quadrilaterals and the properties of tangents. These theorems are essential for solving complex geometry problems in the GCSE Maths formula sheet Edexcel Higher.
Trigonometry is covered extensively, with the SOH CAH TOA mnemonic prominently displayed. The sine and cosine rules for non-right-angled triangles are also included, along with the quadratic formula for solving quadratic equations.
Highlight: The page provides formulas for calculating areas of various shapes, including circles, sectors, and polygons.
Probability concepts are introduced, including the addition and multiplication rules for independent events. The sheet concludes with formulas for volume calculations of 3D shapes and a brief section on statistical measures.
Quote: "P(A or B) = P(A) + P(B)" - This formula represents the addition rule for mutually exclusive events in probability.
This comprehensive Formula sheet for year 11 higher math students 2024 serves as an invaluable resource for students preparing for their GCSE Maths exams, covering all the essential formulas and concepts required for success in the higher tier.

Access to all documents
Improve your grades
Join milions of students
Page 1 of the Formula sheet for year 11 higher math students gcse covers a wide range of mathematical topics crucial for GCSE Higher Maths. It begins with graph transformations, explaining how different functions affect the shape and position of graphs. The sheet then moves on to various types of graphs, including linear, quadratic, and cubic functions.
Highlight: The page includes a comprehensive section on nth term calculations, both for arithmetic and quadratic sequences.
The document also covers important algebraic concepts such as BIDMAS (order of operations) and the trapezium rule for approximating areas under curves. Trigonometric values for common angles are provided, along with formulas for percentage changes and simple interest calculations.
Vocabulary: Surds are introduced, which are expressions involving square roots that cannot be simplified to whole numbers.
Towards the end of the page, there are sections on loci, repeated percentage changes, and the midpoint formula for lines. The formula for the equation of a straight line is also explained.
Example: For the equation of a straight line, 'm' represents the gradient, and 'c' is the y-intercept.
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.
You can download the app from Google Play Store and Apple App Store.
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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Explore essential concepts of circles including circumference, diameter, radius, chords, tangents, sectors, arcs, and segments. This summary provides key formulas and properties crucial for GCSE Maths. Perfect for quick revision and understanding of circle geometry.
Master the calculations for the area and circumference of circles with this comprehensive guide. Explore key concepts including formulas for circles, semicircles, and sectors, along with practical examples and problem-solving techniques. Ideal for GCSE students preparing for exams.
Explore key concepts in geometry and pressure calculations, including formulas for the volume and surface area of cones, cylinders, and spheres. This summary covers essential topics such as arc length, sector area, and hydrostatic pressure, providing a comprehensive overview for students preparing for exams. Ideal for quick revision and understanding of 3D objects and circle properties.
Explore essential GCSE Maths concepts including trigonometric formulas, circle theorems, and area calculations. This summary covers Pythagoras' theorem, sine and cosine rules, and key properties of circles, providing clear explanations and formulas for effective revision. Ideal for Edexcel Higher students preparing for exams.
Explore key concepts in circle geometry, including parts of a circle, essential formulae for circumference, area, and sector calculations. This summary provides step-by-step models and example questions to enhance your understanding of circle properties and their applications in GCSE Maths.
Explore the fundamental components of circle geometry, including definitions and visual representations of the center, radius, diameter, chord, arc, segment, sector, and tangent. This summary provides a clear understanding of each part's role in circle mathematics.
App Store
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