1. Algebra and Equations: Expanding and simplifying expressions, solving simultaneous and quadratic equations, rearranging formulas, and inequalities.

2. Geometry and Trigonometry: Solving angle problems, using sine and cosine rules, coordinate geometry, properties of polygons, and vector calculations.

3. Statistics and Probability: Cumulative frequency tables and graphs, probability tree diagrams, mean and median calculations, interpreting histograms, and probability distributions.

4. Graphs and Functions: Sketching and transforming functions, solving equations graphically, quadratic and trigonometric functions, and inverse functions.

5. Ratio, Proportion, and Percentages: Solving percentage-based problems, compound interest, depreciation, direct and inverse proportion, and financial applications.

6. Mensuration and Proofs: Volume and surface area calculations, circle theorems, vector proofs, algebraic proofs, and coordinate geometry problems.