1. Algebra & Functions | Quadratic equations, binomial theorem, function transformations, inverse functions, and range determination.

2. Trigonometry & Geometry | Trigonometric identities, solving equations, sector properties, perimeter and area optimizations.

3. Calculus | Differentiation for stationary points, tangents, integration for area calculations, velocity and acceleration functions.

4. Sequences & Series | Arithmetic and geometric progressions, summation formulas, and term calculations.

5. Probability & Combinatorics | Permutations, arrangements with restrictions, group selection problems.

6. Kinematics & Motion | Particle motion equations, velocity and acceleration analysis, displacement and change in direction determination.