1. Paper: Edexcel International GCSE Further Pure Mathematics 4PM1/01R (Jan 2022), 100 marks, 11 questions, 2 hours; topics: linear programming, arithmetic series, coordinate geometry, circle geometry, binomial expansion.
2. Linear programming: graphing lines, finding feasible regions from inequalities involving x, y, and boundaries.
3. Coordinate geometry: perpendicular bisectors, midpoints, slope calculation, area of triangles using coordinate methods.
4. Circle geometry and radians: arc length, sector area, ratio divisions, use of π in radian measures.
5. Binomial expansion: general term coefficients in terms of $n$ and $a$, solving equations from known coefficients, coefficient extraction for specific powers.