1. Algebra and Functions | Solving quadratic and quartic equations, simplifying algebraic fractions, factorizing polynomials, interpreting cubic graph transformations. 2. Coordinate Geometry and Circles | Finding line intersections, perpendicular slopes, center and radius of circles from general equation, tangent conditions to a circle. 3. Calculus – Differentiation and Integration | Differentiating algebraic functions, finding tangents, solving definite integrals, calculating area under curves using integration. 4. Binomial Expansion and Logarithms | Expanding expressions using binomial theorem, estimating function values, applying log laws to solve exponential models. 5. Trigonometry and Geometry | Solving trigonometric equations, proving identities, calculating triangle side lengths and angles using cosine/sine rule, analyzing trigonometric functions. 6. Vectors and Proof | Vector angle calculations, interpreting vector relationships geometrically, algebraic proof involving cube expressions and divisibility.