1. Vector geometry: position vectors, scalar product, perpendicular vectors, area of parallelogram via cross product 2. Algebraic equations: simultaneous equations with rational expressions, prime factor analysis 3. Trigonometry: Cosine and Sine Rules, angle bisector intersection, non-right triangle area calculation 4. Graph sketching: exponential table completion, curve plotting, intersection point estimation 5. Polynomial algebra: factor and remainder theorems, solving cubic equations 6. Calculus: definite integration, area under curve bounded by axes and graph