1. Algebra and Expressions | Simplifying powers and products, expanding brackets, solving linear and quadratic equations, rearranging and factorising algebraic expressions, nth term of sequences, standard form conversion. 2. Geometry and Measures | Angle properties in polygons, Pythagoras and trigonometry, transformation including enlargement with negative scale factor, sector and frustum surface area, density and mass calculation. 3. Graphs and Coordinates | Plotting and interpreting quadratic and exponential graphs, identifying turning points and roots, estimating gradient of a curve, interpreting real-world graphs like travel and distance-time. 4. Ratio, Proportion, and Real-life Applications | Coffee quantity estimation, pump-time problems, compound units (speed, density), reverse percentage, best-buy analysis, probability with ratios and dependent events. 5. Statistics and Data | Drawing and interpreting box plots, comparing distributions using quartiles, calculating median, range, and identifying misrepresentations in data visualisation. 6. Proof and Advanced Reasoning | Algebraic proof of expressions and identities, triangular number sum proof, coordinate geometry involving tangents to circles, vector ratio relationships, algebraic probability models.