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.