GCSE Mathematics Knowledge Organisers

Every unit, and the sheet that covers it

Each sheet carries the same five sections in the same places — the vocabulary a pupil must be able to define, what they must know, what they must be able to do kept in its own list, the one diagram worth remembering, and the misconceptions that actually cost marks.

Board-neutral throughout. No sheet is written to one board’s specification. The content traces to the Department for Education’s own subject content, which AQA, Pearson Edexcel, OCR and WJEC Eduqas all have to cover however each one orders or labels it — so a department can use these whichever board they teach.

1. Number: Primes, Indices, Standard Form and the Limits of Accuracy

   Year 10 · unit 1 · 2 A4 sheets

2. Algebra: Expanding, Factorising and Changing the Subject

   Year 10 · unit 2 · 2 A4 sheets

3. Equations, Inequalities and Simultaneous Equations

   Year 10 · unit 3 · 2 A4 sheets

4. Ratio, Proportion and Rates of Change

   Year 10 · unit 4 · 2 A4 sheets

5. Geometry: Similarity, Pythagoras and Trigonometry

   Year 10 · unit 5 · 2 A4 sheets

6. Graphs: Straight Lines, Quadratics and Real-Life Relationships

   Year 10 · unit 6 · 2 A4 sheets

7. Algebra Completed: Functions, Sequences, Iteration and Proof

   Year 11 · unit 1 · 2 A4 sheets

8. Probability and Statistics

   Year 11 · unit 2 · 2 A4 sheets

9. Geometry: Angles, Mensuration, Circles and Constructions

   Year 11 · unit 3 · 2 A4 sheets

10. Circle Theorems, Vectors and Transformations

    Year 11 · unit 4 · 2 A4 sheets

11. Revision by Diagnosis

    Year 11 · unit 5 · 2 A4 sheets

12. Examination Technique and the Final Fortnight

    Year 11 · unit 6 · 2 A4 sheets