1. Algebra and Equations | Simplifying algebraic fractions, solving inequalities using set notation, expanding expressions, proving mathematical properties, and using nth-term rules in sequences. 2. Geometry and Trigonometry | Working with circle theorems, calculating perimeters and areas of composite shapes, proving collinearity with vectors, and transformations including symmetry and reflections. 3. Statistics and Probability | Interpreting scatter plots, calculating probabilities using tree diagrams, analyzing frequency distributions, and working with cumulative frequency and histograms. 4. Graphs and Functions | Identifying equations of circles, drawing and analyzing quadratic graphs, solving quadratic equations graphically, and determining lines of symmetry. 5. Number Theory and Arithmetic | Standard form conversions, ratio calculations, working with exponential growth models, calculating financial returns, and estimating investment growth. 6. Applied Mathematics and Mechanics | Calculating machine work rates, estimating time for large-scale operations, verifying proportional relationships, and analyzing real-world optimization scenarios.