1. Algebra and Equations: Solving quadratic and simultaneous equations, expanding expressions, factorization, simplifying indices, and working with inequalities.

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

3. Statistics and Probability: Constructing and interpreting cumulative frequency graphs, probability tree diagrams, interquartile range analysis, histograms, and probability distributions.

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

5. Ratio, Proportion, and Percentages: Solving percentage problems, compound interest and depreciation, proportional relationships, financial calculations, and scaling in geometry.

6. Mensuration and Proofs: Calculating volume and surface area, algebraic proofs, vector proofs, coordinate geometry, and solving three-dimensional transformation problems.