1. Algebra and Sequences: Expanding and simplifying expressions, solving simultaneous and quadratic equations, factorization, working with indices, and arithmetic series. 2. Geometry and Trigonometry: Angle calculations in polygons, sine and cosine rules, coordinate geometry, circle theorems, and vector transformations. 3. Statistics and Probability: Constructing cumulative frequency graphs, probability tree diagrams, calculating mean and interquartile range, interpreting histograms. 4. Graphs and Functions: Sketching quadratic, reciprocal, and trigonometric graphs, solving equations graphically, transformations of functions, and inverse functions. 5. Ratio, Proportion, and Percentages: Solving problems with percentage changes, compound interest and depreciation, proportional relationships, financial calculations. 6. Mensuration and Proofs: Volume and surface area calculations, algebraic proofs, vector proofs, coordinate geometry, and working with transformations in three-dimensional space.