1. Algebra & Equations | Solving simultaneous equations, polynomials, inequalities, logarithmic and exponential equations.

2. Calculus & Differentiation | Derivatives, stationary points, rate of change approximations.

3. Geometry & Graphing | Graphical methods for inequalities, curve analysis, tangent slopes.

4. Probability & Combinatorics | Selection arrangements, group counting with restrictions.

5. Vectors & Kinematics | Position vectors, velocity components, motion graphs.

6. Optimization & Applications | Minimum area calculations, function optimization problems.