Study guides

Trigonometry

AQA·A-Level

Master AQA A-Level Trigonometry, from reciprocal functions and compound angles to harmonic form and proofs. This guide provides everything you need to solve complex problems, secure top marks, and understand the maths of waves and oscillations."

Trigonometry

Pearson Edexcel·A-Level

Master Edexcel A-Level Trigonometry with this comprehensive guide. We break down complex identities, radians, and reciprocal functions into manageable chunks, providing examiner insights and worked examples to help you secure top marks.

Trigonometry

OCR·A-Level

Master OCR A-Level Trigonometry (4.9) with this comprehensive guide. We cover everything from reciprocal functions and compound angles to exam technique and common pitfalls, helping you secure top marks.

Understand and use the laws of indices for all rational exponents

Pearson Edexcel·A-Level

9MA0

Mastering the Laws of Indices is essential for unlocking algebra and higher-level mathematics. This guide breaks down the five core rules—from multiplication to fractional indices—giving you the tools to simplify complex expressions and secure vital marks in your GCSE exams.

Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including: Proof by deduction, Proof by exhaustion, Disproof by counter example, Proof by contradiction (including proof of the irrationality of √2 and the infinity of primes, and application to unfamiliar proofs)

Pearson Edexcel·A-Level

9MA0

Mathematical Proof is the art of demonstrating that a statement is true beyond any doubt, using logical steps rather than just examples. Mastering proof methods—like deduction, exhaustion, counter-example, and contradiction—will not only secure you top marks in the exam but also sharpen your logical thinking skills.

Use and manipulate surds, including rationalising the denominator

Pearson Edexcel·A-Level

9MA0

Master the art of manipulating exact values with surds. This topic is essential for securing high marks on the Higher tier paper, teaching you how to simplify expressions and rationalise denominators to achieve perfect precision in your calculations.

Vectors

WJEC·A-Level

603/1977/X

Vectors turn movement into precise algebra: every answer combines a horizontal i-component with a vertical j-component. For WJEC A-Level Mathematics 2.1.9, candidates who consistently use end minus start, visible brackets and a quick diagram can secure method marks on displacement, distance, parallelism and ratio questions.

Vectors

AQA·A-Level

Master AQA A-Level Mathematics Vectors (3.12) with this comprehensive guide. We break down 3D space, geometric proofs, and magnitude calculations to show you how to secure every mark. This guide is packed with examiner insights, worked examples, and memory aids to turn this challenging topic into one of your strengths."

Vectors

OCR·A-Level

Master the geometry and algebra of 3D space with this guide to A-Level Vectors. We will break down complex proofs and mechanics problems into manageable steps, ensuring you can secure every mark available for this crucial topic."

Vectors

Pearson Edexcel·A-Level

Master Edexcel A-Level Vectors with this comprehensive guide. We break down everything from basic notation to complex 3D geometric proofs, giving you the tools to secure top marks. This guide is packed with examiner insights, worked examples, and memory aids to make your revision effective and engaging.

Vectors

OCR·GCSE

Master OCR GCSE Vectors with this guide, packed with examiner tips and interactive content. We'll break down everything from basic column vectors to complex geometric proofs, showing you how to secure every mark and turn a tricky topic into one of your strengths.

Volume

OCR·GCSE

Master the essential OCR GCSE Mathematics topic of Volume (3.3) with this comprehensive study guide. We break down everything from basic prisms to complex composite solids, giving you the examiner's perspective on how to secure every mark. This guide is packed with worked examples, memory hooks, and exam-style questions to build your confidence for both Foundation and Higher tiers.