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Maths
4 Dec 2025
328
6 pages
Dsmoke12 @dsmoke12
This is your complete guide to mastering IGCSE Mathematics, covering everything from basic number skills to advanced topics... Show more
This third edition practice book is specifically designed for Edexcel Specification A, giving you targeted preparation for your IGCSE Mathematics exams. It's endorsed by Edexcel, which means it perfectly matches what you'll face in your actual tests.
The book covers every topic you need to master, from basic arithmetic to complex mathematical reasoning. What makes this particularly useful is that it's structured as a practice book rather than just theory - you'll be working through actual problems similar to those on your exams.
Quick Tip This isn't just another textbook - it's your exam preparation toolkit designed by experienced mathematics educators.
Whether you're struggling with specific topics or looking to push for top grades, this comprehensive resource has practice questions at every level.
The book is brilliantly organised into four main sections that mirror your IGCSE syllabus structure. You'll work through Number topics (like decimals, percentages, and standard form), then move into Algebra (covering everything from basic manipulation to calculus).
The Shape, Space and Measures section tackles geometry, transformations, and trigonometry - often the areas students find most challenging. Finally, Handling Data covers statistics and probability, plus there's a dedicated section for advanced problem-solving.
Each topic builds logically on the previous ones, so you can work through systematically or jump to specific areas where you need extra practice. The variety means you'll never get bored with just one type of maths.
Study Smart Use the contents page to identify your weak spots and focus your revision time where it matters most.
This structured approach means you're not just learning isolated skills - you're building a complete mathematical toolkit.
Quadratic equations are absolutely crucial for your IGCSE - they appear in multiple contexts and connect algebra with real-world problems. This section throws you straight into solving various types, from simple factoring to using the quadratic formula.
You'll tackle everything from basic equations like x² - 4x = 0 to more complex ones requiring 3 significant figures in your answers. The beauty here is the variety - some questions ask you to solve 2x² - 5x - 3 = 0, while others embed quadratics within simultaneous equations or word problems.
The real-world applications are brilliant for understanding why quadratics matter. You'll work with rectangle problems where you need to show that 2x² + 5x - 16 = 0, connecting geometry with algebra naturally.
Exam Success Always show clear algebraic working - the mark scheme rewards your method even if your final answer isn't perfect.
Completing the square appears too, which is essential for both solving equations and understanding function transformations later.
This section really pushes your quadratic equation skills by mixing them with other mathematical concepts. You'll solve simultaneous equations where one is linear and the other involves squares .
The geometric applications are particularly engaging - you'll work with squares and triangles where areas must be equal, leading to equations like 2x² - 4x - 7 = 0. These problems show how quadratics pop up everywhere in mathematics.
Completing the square gets special attention here, with questions asking you to express x² - 4x + 1 in the form ² + b. This technique is absolutely vital for advanced topics and shows up repeatedly in A-level mathematics.
Top Tip When solving simultaneous equations with circles and lines, you'll often get two solutions - both are usually valid unless the context suggests otherwise.
The mark allocations (ranging from 2 to 7 marks) show you exactly how much detail examiners expect in your working.
Construction questions test your practical mathematical skills using only ruler and compasses - no measuring allowed! You'll construct everything from rhombuses with 4.6 cm sides to complex parallelograms using given measurements.
The key constructions you'll master include angle bisectors and perpendicular bisectors. For triangle ABC with sides 6.1 cm, 6.9 cm, and 5.4 cm, you'll construct the triangle accurately then add the angle bisector of angle BAC.
Scale drawings bring real-world applications into your maths. You'll work with scenarios like a 4.8m ladder against a wall, using scales like 150 to find distances and angles practically.
Construction Success Always leave your construction lines visible - they're part of the marks and show your mathematical thinking process.
These skills connect beautifully with trigonometry and Pythagoras' theorem, giving you multiple ways to solve the same problems.
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.
5
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
MathsExplore essential trigonometric concepts including the Sine and Cosine rules, solving general triangles, and trigonometric equations. This study resource is tailored for GCSE Maths, Further Maths, and FSMQ students, providing clear examples and formulas to enhance understanding and problem-solving skills.
MathsExplore the Pythagorean theorem with practical examples and calculations. This summary covers finding lengths in right triangles, including step-by-step solutions for BC and AC, and demonstrates the theorem's application in various scenarios. Ideal for students needing clarity on right triangles and hypotenuse calculations.
MathsExplore the principles of geometric similarity with a focus on triangular prisms. This study note covers key concepts such as scale factors, area and volume relationships, and includes solved exam-style questions to reinforce understanding. Ideal for GCSE students preparing for geometry assessments.
MathsThis comprehensive booklet provides essential practice and answers for students aiming for a Grade 5 in GCSE Maths. Covering key topics such as trigonometry, percentages, probability, and geometry, it includes worked examples and practice questions to enhance understanding and exam readiness.
MathsPrepare for your GCSE Maths exam with this comprehensive non-calculator paper. This resource covers key concepts such as probability, ratios, area and perimeter, operations on fractions, and properties of exponents. Ideal for students looking to practice and improve their mathematical skills in a structured format. Includes a variety of question types to enhance understanding and exam readiness.
MathsApp 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 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
Dsmoke12
@dsmoke12
This is your complete guide to mastering IGCSE Mathematics, covering everything from basic number skills to advanced topics like calculus and trigonometry. The practice book is designed to help you tackle real exam questions and build the problem-solving skills you... Show more
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This third edition practice book is specifically designed for Edexcel Specification A, giving you targeted preparation for your IGCSE Mathematics exams. It's endorsed by Edexcel, which means it perfectly matches what you'll face in your actual tests.
The book covers every topic you need to master, from basic arithmetic to complex mathematical reasoning. What makes this particularly useful is that it's structured as a practice book rather than just theory - you'll be working through actual problems similar to those on your exams.
Quick Tip: This isn't just another textbook - it's your exam preparation toolkit designed by experienced mathematics educators.
Whether you're struggling with specific topics or looking to push for top grades, this comprehensive resource has practice questions at every level.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
The book is brilliantly organised into four main sections that mirror your IGCSE syllabus structure. You'll work through Number topics (like decimals, percentages, and standard form), then move into Algebra (covering everything from basic manipulation to calculus).
The Shape, Space and Measures section tackles geometry, transformations, and trigonometry - often the areas students find most challenging. Finally, Handling Data covers statistics and probability, plus there's a dedicated section for advanced problem-solving.
Each topic builds logically on the previous ones, so you can work through systematically or jump to specific areas where you need extra practice. The variety means you'll never get bored with just one type of maths.
Study Smart: Use the contents page to identify your weak spots and focus your revision time where it matters most.
This structured approach means you're not just learning isolated skills - you're building a complete mathematical toolkit.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Quadratic equations are absolutely crucial for your IGCSE - they appear in multiple contexts and connect algebra with real-world problems. This section throws you straight into solving various types, from simple factoring to using the quadratic formula.
You'll tackle everything from basic equations like x² - 4x = 0 to more complex ones requiring 3 significant figures in your answers. The beauty here is the variety - some questions ask you to solve 2x² - 5x - 3 = 0, while others embed quadratics within simultaneous equations or word problems.
The real-world applications are brilliant for understanding why quadratics matter. You'll work with rectangle problems where you need to show that 2x² + 5x - 16 = 0, connecting geometry with algebra naturally.
Exam Success: Always show clear algebraic working - the mark scheme rewards your method even if your final answer isn't perfect.
Completing the square appears too, which is essential for both solving equations and understanding function transformations later.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This section really pushes your quadratic equation skills by mixing them with other mathematical concepts. You'll solve simultaneous equations where one is linear and the other involves squares .
The geometric applications are particularly engaging - you'll work with squares and triangles where areas must be equal, leading to equations like 2x² - 4x - 7 = 0. These problems show how quadratics pop up everywhere in mathematics.
Completing the square gets special attention here, with questions asking you to express x² - 4x + 1 in the form ² + b. This technique is absolutely vital for advanced topics and shows up repeatedly in A-level mathematics.
Top Tip: When solving simultaneous equations with circles and lines, you'll often get two solutions - both are usually valid unless the context suggests otherwise.
The mark allocations (ranging from 2 to 7 marks) show you exactly how much detail examiners expect in your working.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Construction questions test your practical mathematical skills using only ruler and compasses - no measuring allowed! You'll construct everything from rhombuses with 4.6 cm sides to complex parallelograms using given measurements.
The key constructions you'll master include angle bisectors and perpendicular bisectors. For triangle ABC with sides 6.1 cm, 6.9 cm, and 5.4 cm, you'll construct the triangle accurately then add the angle bisector of angle BAC.
Scale drawings bring real-world applications into your maths. You'll work with scenarios like a 4.8m ladder against a wall, using scales like 1:50 to find distances and angles practically.
Construction Success: Always leave your construction lines visible - they're part of the marks and show your mathematical thinking process.
These skills connect beautifully with trigonometry and Pythagoras' theorem, giving you multiple ways to solve the same problems.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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.
5
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
MathsExplore essential trigonometric concepts including the Sine and Cosine rules, solving general triangles, and trigonometric equations. This study resource is tailored for GCSE Maths, Further Maths, and FSMQ students, providing clear examples and formulas to enhance understanding and problem-solving skills.
MathsExplore the Pythagorean theorem with practical examples and calculations. This summary covers finding lengths in right triangles, including step-by-step solutions for BC and AC, and demonstrates the theorem's application in various scenarios. Ideal for students needing clarity on right triangles and hypotenuse calculations.
MathsExplore the principles of geometric similarity with a focus on triangular prisms. This study note covers key concepts such as scale factors, area and volume relationships, and includes solved exam-style questions to reinforce understanding. Ideal for GCSE students preparing for geometry assessments.
MathsThis comprehensive booklet provides essential practice and answers for students aiming for a Grade 5 in GCSE Maths. Covering key topics such as trigonometry, percentages, probability, and geometry, it includes worked examples and practice questions to enhance understanding and exam readiness.
MathsPrepare for your GCSE Maths exam with this comprehensive non-calculator paper. This resource covers key concepts such as probability, ratios, area and perimeter, operations on fractions, and properties of exponents. Ideal for students looking to practice and improve their mathematical skills in a structured format. Includes a variety of question types to enhance understanding and exam readiness.
MathsApp 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 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
Sociology