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Challenging GCSE Maths Problems: Grade 7 - 9 Exam Preparation : 120 Advanced Questions with Step-by-Step Solutions for Algebra, Geometry, Statistics & More – Master AQA, Edexcel, OCR exam boards
Master Your GCSE Achieve Grades 8 & 9 with 120 Challenging Problems & Step-by-Step Solutions
Are you a determined GCSE Maths student aiming for top grades? Do you crave the challenge of advanced problems that truly test your understanding and prepare you for exam success?
Look no further. This comprehensive Kindle book, "GCSE MATHS PROBLEMS", is meticulously crafted by experienced educators to help you conquer the most demanding questions and secure those elusive Grade 8 and 9 marks.
What makes this book your essential study companion?
120 Hand-Picked, Challenging Dive deep into a curated collection of advanced questions spanning Algebra, Geometry, Statistics, Number, and Ratio & Proportion. Each problem is designed to push your boundaries and deepen your conceptual understanding, mimicking the toughest questions you'll face in the actual GCSE exam.
Step-by-Step, Detailed No more getting stuck! Every single problem comes with a clear, easy-to-follow, fully worked solution. Understand not just what the answer is, but how to get there, gaining invaluable insights into problem-solving strategies and common pitfalls.
Targeted for Grades 8 & 9: This book focuses specifically on the higher-tier content required for top grades, making it perfect for students who have mastered the basics and are ready to excel.
Aligned with All Major UK Exam Whether you're studying for AQA, Edexcel, OCR, or any other UK or Commonwealth examination board, the topics and question styles in this book are universally relevant and will strengthen your preparation.
Build Confidence & Exam Regular practice with challenging problems is the key to success. This book provides the rigorous training needed to approach your GCSE Maths exam with confidence and a mastery mindset.
Inside, you'll
Complex equations, functions, inequalities, and graphical problems.
Advanced trigonometry, circle theorems, vectors, and 3D shapes.
Statistics & Interpreting complex data, probability trees, and advanced statistical measures.
Number & High-level problem-solving involving standard form, surds, and proportional reasoning.Here are some
E.g.1
Evaluate 11998² - 11988² without a calculator.
Using the difference of two squares,
11998² - 11988² = (11998 + 11988)(11998 - 11988)
= 23986 x 10
= 239860
E.g.2
Solve x - 7√x = -12
Exploring the hidden quadratic nature,
Let y = √x
y² - 7y + 12 = 0
(y - 4)(y - 3) = 0
y = 4 or y = 3
√x = 4 or √x = 3
x = 16 or x = 9
E.g.3
a) Verify Pythagoras' Theorem using the cosine rule.
b) The three sides of a triangle are 8 cm, 7 cm and 13 cm in length. Show that the largest angle of the triangle is obtuse.
Are you a determined GCSE Maths student aiming for top grades? Do you crave the challenge of advanced problems that truly test your understanding and prepare you for exam success?
Look no further. This comprehensive Kindle book, "GCSE MATHS PROBLEMS", is meticulously crafted by experienced educators to help you conquer the most demanding questions and secure those elusive Grade 8 and 9 marks.
What makes this book your essential study companion?
120 Hand-Picked, Challenging Dive deep into a curated collection of advanced questions spanning Algebra, Geometry, Statistics, Number, and Ratio & Proportion. Each problem is designed to push your boundaries and deepen your conceptual understanding, mimicking the toughest questions you'll face in the actual GCSE exam.
Step-by-Step, Detailed No more getting stuck! Every single problem comes with a clear, easy-to-follow, fully worked solution. Understand not just what the answer is, but how to get there, gaining invaluable insights into problem-solving strategies and common pitfalls.
Targeted for Grades 8 & 9: This book focuses specifically on the higher-tier content required for top grades, making it perfect for students who have mastered the basics and are ready to excel.
Aligned with All Major UK Exam Whether you're studying for AQA, Edexcel, OCR, or any other UK or Commonwealth examination board, the topics and question styles in this book are universally relevant and will strengthen your preparation.
Build Confidence & Exam Regular practice with challenging problems is the key to success. This book provides the rigorous training needed to approach your GCSE Maths exam with confidence and a mastery mindset.
Inside, you'll
Complex equations, functions, inequalities, and graphical problems.
Advanced trigonometry, circle theorems, vectors, and 3D shapes.
Statistics & Interpreting complex data, probability trees, and advanced statistical measures.
Number & High-level problem-solving involving standard form, surds, and proportional reasoning.Here are some
E.g.1
Evaluate 11998² - 11988² without a calculator.
Using the difference of two squares,
11998² - 11988² = (11998 + 11988)(11998 - 11988)
= 23986 x 10
= 239860
E.g.2
Solve x - 7√x = -12
Exploring the hidden quadratic nature,
Let y = √x
y² - 7y + 12 = 0
(y - 4)(y - 3) = 0
y = 4 or y = 3
√x = 4 or √x = 3
x = 16 or x = 9
E.g.3
a) Verify Pythagoras' Theorem using the cosine rule.
b) The three sides of a triangle are 8 cm, 7 cm and 13 cm in length. Show that the largest angle of the triangle is obtuse.
160 pages, Kindle Edition
Published July 30, 2025
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