1. Pearson Edexcel IGCSE Further Pure Mathematics 4PM1/02R (2022), 2-hour paper, 100 marks, 11 multi-part questions.
2. Vectors: position vector, magnitude, unit vector calculation, vector addition and direction.
3. Differentiation applications: related rates, volume expansion, chain rule usage, practical modeling in 3D geometry (cuboid, pyramids).
4. Geometric series: term identification, solving for first term and common ratio, sum to infinity expressed with radicals.
5. Polynomials and root analysis: factor theorem, remainder theorem, cubic polynomial root nature justification using discriminant.
6. Graphical methods: function evaluation (exponential/logarithmic), transformation and inverse graph drawing, root estimation using line intersection.