1. Algebra and Functions: Solving quadratic and simultaneous equations, completing the square, finding inverse functions, and function compositions.

2. Geometry and Trigonometry: Angle properties in polygons, transformations, coordinate geometry, sine and cosine rules, and circle theorems.

3. Statistics and Probability: Constructing and interpreting cumulative frequency graphs, probability trees, Venn diagrams, histogram analysis, and probability distributions.

4. Graphs and Inequalities: Sketching quadratic and exponential graphs, solving inequalities graphically, transformations of functions, and estimating roots.

5. Ratio, Proportion, and Percentages: Direct and inverse proportion, compound interest and depreciation, financial applications, and percentage change problems.

6. Mensuration and Proofs: Surface area and volume calculations, algebraic proofs, vector geometry, coordinate geometry proofs, and real-world problem-solving applications.