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.