1. Algebra and Formulae | Rearranging formulas, solving equations and inequalities, simplifying algebraic expressions, expanding brackets, interpreting standard form, and forming nth term rules. 2. Geometry and Trigonometry | Calculating angles using cyclic quadrilaterals, trigonometric ratios, surface area and volume of compound shapes, similarity and congruence, coordinate geometry, vector proof, transformations. 3. Probability and Statistics | Tree diagrams, interpreting box plots and stem-and-leaf, identifying histogram errors, cumulative frequency analysis, calculating averages from data, interpreting statistical comparisons. 4. Ratio, Proportion, and Real-life Applications | Unit conversion, mixture problems, reverse percentages, compound units (speed, density), financial maths (best buy, savings), ratio scaling and efficiency problems. 5. Graphs and Functions | Completing square to find turning points, sketching transformations of graphs, interpreting travel graphs, solving graphically, interpreting function reflections and translations. 6. Problem Solving and Reasoning | Proofs involving vectors, algebra, and geometric identities; multistep reasoning problems involving volume, density, ratio combinations, probability estimates, and sequence logic.