1. Algebra and Quadratics | Simplifying algebraic fractions, solving equations involving quadratics, completing the square, discriminant conditions for real roots. 2. Coordinate Geometry and Circles | Finding equations of straight lines and circles, using perpendicular gradients, identifying center and radius from general form. 3. Calculus – Differentiation | Differentiating from first principles, finding equations of tangents and normals, determining stationary points and their nature. 4. Calculus – Integration | Indefinite and definite integration, calculating areas under curves, applying limits, integrating polynomial expressions. 5. Logarithms and Exponentials | Applying laws of logarithms, solving exponential equations, converting between exponential and logarithmic forms. 6. Binomial Expansion and Trigonometry | Expanding expressions using binomial theorem for rational powers, simplifying trig expressions, solving equations using identities.