1. Paper: Edexcel IGCSE Further Pure Mathematics 4PM1/01R (May 2022), 100 marks, 11 questions, 2 hours; areas tested include sequences, kinematics, geometry, inequalities, calculus, trigonometry, and vector analysis.
2. Sequences and series: arithmetic series with known nth terms, summation of first n terms using standard formulas.
3. Kinematics: velocity-time functions, acceleration derivation, integration for displacement, definite integration using initial conditions.
4. Sector geometry: calculation of angle from area, perimeter involving arc and chord lengths, partitioning with segment ratios, sector-based area derivations.
5. Algebraic inequalities: perimeter and area constraints leading to compound inequality solutions in the form a < x < b.
6. Calculus and trigonometric differentiation: chain and product rule, exponential and trigonometric functions, simplification of complex derivatives.