1. Algebra & Functions | Quadratic equations, function transformations, inverse functions, domain and range determination. 2. Trigonometry & Geometry | Trigonometric identities, solving equations, sector properties, perimeter and area calculations. 3. Calculus | Differentiation for stationary points, rate of change, integration for area and displacement. 4. Sequences & Series | Arithmetic and geometric progressions, sum calculations, term evaluations. 5. Probability & Combinatorics | Permutations, group selections, arrangements with restrictions. 6. Vectors & Kinematics | Position vectors, velocity components, collision determination, optimization problems in geometry.