1. Algebra & Equations | Solving simultaneous equations, quadratic and polynomial equations, logarithmic and exponential equations. 2. Differentiation & Applications | Finding derivatives, using differentiation for small changes, determining stationary points. 3. Graphical & Inequality Solutions | Solving inequalities graphically, quadratic inequalities, interpreting solution sets. 4. Complex Numbers & Surds | Expressing surds in the form \\( a + b\\sqrt{3} \\), polynomial roots, non-calculator numerical simplifications. 5. Combinatorics & Probability | Selecting groups with restrictions, arranging students in a line with fixed gaps. 6. Trigonometry & Equations | Solving trigonometric equations involving cotangent and cosecant functions within a given range. 7. Kinematics & Motion Graphs | Sketching velocity-time graphs, interpreting acceleration and deceleration scenarios. 8. Coordinate Geometry & Calculus | Finding intersection points, perpendicular distances, and angles between curves and lines. 9. Vectors & Collision Problems | Determining position vectors, verifying particle collisions using vector equations. 10. Optimization & Calculus | Minimizing the surface area of a tank with a given volume, using differentiation for real-world applications.