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.