1. Algebra and Sequences: Simplifying expressions, solving quadratic and simultaneous equations, working with inequalities, and nth-term sequence calculations.

2. Geometry and Trigonometry: Circle theorems, coordinate geometry, transformations, calculating angles and side lengths in polygons, and vector applications.

3. Statistics and Probability: Probability tree diagrams, interpreting histograms, cumulative frequency analysis, mean and median calculations, and Venn diagrams.

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

5. Ratio, Proportion, and Percentages: Compound interest and depreciation, direct and inverse proportion, solving real-life percentage problems, and financial applications.

6. Mensuration and Proofs: Volume and surface area calculations, algebraic and vector proofs, coordinate geometry, and real-world mathematical problem-solving.