Study guides

Number

Pearson Edexcel·GCSE

1MA1

Master the foundation of mathematics with our comprehensive guide to Number. From BODMAS and prime factors to standard form and surds, secure the essential skills that underpin the entire GCSE specification.

Number

AQA·GCSE

8300

Master the fundamentals of Number, the bedrock of the GCSE Maths specification. From fraction conversions to index laws and prime factorisation, this topic is essential for securing marks across all three papers.

Number

Eduqas·GCSE

WJEC-GCSE-Mathematics

The Number topic is the foundational bedrock of GCSE Mathematics, covering everything from basic arithmetic and prime factorisation to standard form and surds. Mastering this topic is essential because it not only secures significant marks in its own right, but also underpins every other area of the specification, from algebra to statistics.

Number and Place Value

OCR·GCSE

Master the core of your OCR GCSE Maths exam with this guide to Number and Place Value. We break down everything from rounding and standard form to index laws, giving you the examiner's perspective on how to secure every last mark. This is not just about calculation; it is about developing the mathematical fluency that underpins the entire specification.

Number Operations and Integers

OCR·GCSE

J560

Mastering Fractions, Decimals, and Percentages is the foundation of GCSE Mathematics. This topic unlocks marks across the entire specification, from simple conversions to complex multi-step problem solving with multipliers.

Numerical Methods

WJEC·A-Level

603/1977/X

Numerical Methods turns equations and curves that resist exact algebra into well-justified approximations. For WJEC A-Level Mathematics 2.3.8, candidates must confidently bracket roots, iterate, use Newton-Raphson and estimate area with trapezia, then explain the reliability and meaning of each answer.

Overarching themes

AQA·A-Level

7357

Master the language of mathematics! This overarching theme covers how to communicate mathematically, use precise notation, construct logical arguments, and write watertight proofs—essential skills that unlock top marks across every paper.

Powers and roots

OCR·GCSE

Unlock the power of numbers! This guide demystifies powers and roots for your OCR GCSE Maths exam, showing you how to master index laws and tackle complex calculations with confidence. From basic squares to tricky fractional indices, we'll equip you with the techniques to secure every last mark.

Probability

Pearson Edexcel·GCSE

1MA1

Master the fundamentals of probability to confidently tackle combined events, tree diagrams, and Venn diagrams. This topic is essential for interpreting data and predicting outcomes, and it frequently features in high-mark exam questions.

Probability

AQA·A-Level

This guide provides a comprehensive overview of A-Level Probability, focusing on the key concepts, formulas, and exam techniques required by AQA. It breaks down complex ideas into manageable chunks, using visual aids and real-world examples to build a solid foundation for tackling exam questions with confidence.

Probability

AQA·GCSE

8300

Master probability for your GCSE Mathematics exam. This comprehensive guide covers everything from basic chance and the probability scale to complex tree diagrams, Venn diagrams, and conditional probability, ensuring you secure those vital marks.

Probability

Pearson Edexcel·A-Level

Probability is the mathematical framework for quantifying uncertainty and making predictions based on data. This topic is central to Edexcel A-Level Mathematics, testing your ability to translate real-world scenarios into precise mathematical models using set notation, conditional logic, and statistical distributions. Mastering probability is essential for success in the exam and provides a foundation for further study in STEM, finance, and the social sciences.

Probability

OCR·A-Level

This guide provides a comprehensive overview of Probability for OCR A-Level Mathematics, focusing on the core concepts of set notation, conditional probability, and independence. It is designed to help students master the exam techniques required to secure top marks by breaking down complex ideas into manageable steps and providing extensive practice.

Probability

Eduqas·GCSE

WJEC-GCSE-Mathematics

Mastering Probability is essential for securing high marks in your GCSE Mathematics exams. This guide covers everything from the basic probability scale and relative frequency to complex tree diagrams and Venn diagrams, ensuring you know exactly what examiners are looking for.

Probability

OCR·GCSE

Master OCR GCSE Probability, from tree diagrams to conditional events. This guide breaks down complex concepts into mark-scoring techniques, using worked examples and examiner insights to show you exactly how to secure top grades.

Probability

Pearson Edexcel·GCSE

601/4700/3

Conditional Probability asks 'what is the chance of this happening, given that something else already has?' It's a high-value topic that separates top-tier candidates, requiring you to master tree diagrams, Venn diagrams, and the crucial formula P(A|B) = P(A∩B)/P(B).

Proof

WJEC·A-Level

603/1977/X

Proof turns mathematical patterns into certainty: candidates learn how to build a logical chain from assumptions to conclusion, or destroy an over-confident claim with one valid counterexample. For WJEC A-Level Mathematics, it is a compact, high-leverage topic because the same disciplined reasoning powers algebra, indices and the compulsory proofs of the logarithm laws.

Pythagoras' Theorem and Trigonometry

OCR·GCSE

Master right-angled triangles with this essential guide to Pythagoras' Theorem and Trigonometry for OCR GCSE Maths. This guide breaks down complex concepts into easy-to-understand steps, packed with exam-style questions, memory aids, and examiner insights to help you secure top marks.

Ratio and proportion

OCR·GCSE

Master OCR GCSE Maths Topic 1.4: Ratio and Proportion. This guide breaks down simplifying ratios, sharing quantities, and tackling direct and inverse proportion to help you secure top marks in your exam.

Ratio, proportion and rates of change

Eduqas·GCSE

WJEC-GCSE-Mathematics

Master Ratio, Proportion, and Rates of Change to unlock significant marks across your GCSE Mathematics papers. This topic connects deeply with geometry, algebra, and real-world problem-solving, making it essential for achieving top grades.

Ratio, proportion and rates of change

Pearson Edexcel·GCSE

1MA1

Master the essential principles of Ratio, Proportion, and Rates of Change. This topic is heavily tested in GCSE Mathematics, offering significant marks for students who can accurately apply multipliers, interpret compound measures, and distinguish between direct and inverse proportion.

Ratio, proportion and rates of change

AQA·GCSE

8300

Master Ratio, Proportion, and Rates of Change to unlock some of the most practical and heavily tested concepts in GCSE Mathematics. This topic connects directly to algebra, geometry, and real-world problem-solving, making it essential for securing top grades.

Ratio, proportion and rates of change

Pearson Edexcel·GCSE

601/4700/3

Master the mathematics of change! This topic covers calculating gradients from straight lines, applying compound interest to financial problems, and solving compound measure calculations like speed, density, and pressure — all essential skills that carry significant marks across Foundation and Higher tiers.

Ratio, Proportion and Rates Of Change

OCR·GCSE

J560

Mastering fractions, decimals, and percentages is the key to unlocking higher grades in GCSE Mathematics. This topic is heavily examined across all boards and forms the foundation for solving complex multi-step problems in finance, geometry, and probability.

Sequences and Series - The Binomial Theorem

WJEC·A-Level

603/1977/X

The WJEC binomial theorem turns long-looking bracket powers into an organised sequence of coefficients, falling first powers and rising second powers. Mastering the general term lets candidates expand confidently, isolate a required coefficient without wasted work, and explain the same counting logic used in binomial probability. Every mark is protected by one disciplined routine: choose r, keep brackets intact, simplify powers, and answer the command word.

Statistics

AQA·GCSE

8300

Statistics is the science of collecting, analysing, and interpreting data. It is a highly practical and mark-friendly topic that appears in every single GCSE and A-Level Mathematics paper.

Statistics

Pearson Edexcel·GCSE

1MA1

Master the art of data with this comprehensive guide to GCSE Statistics. From calculating averages to interpreting complex scatter graphs and cumulative frequency curves, this topic is packed with highly predictable, winnable marks that appear in every single exam series.

Statistics

Pearson Edexcel·GCSE

601/4700/3

Mastering data representation is your key to unlocking major marks in GCSE Mathematics. This guide covers everything from constructing basic charts to interpreting complex histograms and cumulative frequency graphs, ensuring you have the precise techniques examiners demand.

Statistics

OCR·GCSE

J560

Master the essential trio of Fractions, Decimals, and Percentages (FDP) — a fundamental topic that underpins almost every GCSE Maths paper. This guide breaks down conversions, percentage multipliers, and ordering mixed types, ensuring you can fluently switch between forms to secure maximum marks.

Statistics

Eduqas·GCSE

WJEC-GCSE-Mathematics

Statistics is the mathematics of collecting, analysing, and interpreting data to make informed decisions. Mastering this topic is essential for your exams, as it appears heavily on both calculator and non-calculator papers and rewards methodical working.