GCSE Maths Revision Notes

15 free revision notes covering every main GCSE Maths topic. No account needed.

Maths is the subject where revision technique matters most, because it is almost entirely a doing subject. Reading a worked solution feels productive and teaches you very little; the understanding arrives when you attempt a question and get stuck.

The syllabus splits into number, algebra, geometry, probability and statistics, and they are not equally weighted in your revision time. Algebra underpins almost everything else — weak algebra shows up later as lost marks in geometry, in graphs and in anything involving rearranging a formula. If your algebra is shaky, start there whatever else is on the list.

Method marks are the most commonly forfeited marks in the subject, and they are free. An answer with no working scores nothing if it is wrong, where the same wrong answer with clear working can score most of the marks. Write every line down.

These notes explain each topic with worked examples, then set out the mistakes examiners see most often. Work through a topic, then attempt questions without looking back at the notes.

Algebra

Solving Linear Equations Expanding and Factorising Quadratic Equations Simultaneous Equations Straight-Line Graphs (y = mx + c) Sequences and the nth Term

Geometry

Pythagoras' Theorem Trigonometry (SOHCAHTOA) Area, Perimeter, Volume and Surface Area

Number

Factors, Multiples and Primes (HCF & LCM) Fractions, Decimals and Percentages Indices and Standard Form Ratio and Proportion

Probability

Probability and Tree Diagrams

Statistics

Averages, Spread and Charts

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