Pearson Edexcel International GCSE Further Pure Mathematics
4PM1 · International GCSE · Issue 1, January 2016
Distinct international qualification, not English GCSE Further Maths. Calculator permitted on both papers.
Current official specification · Checked 2026-10-07
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Topics in the specification
The topics currently listed on the site are shown below. Use the official specification to check the full course. Questions cover selected parts of each topic.
| Topic | Strand and clause | Practice |
|---|---|---|
| Surds and rationalising denominators | core · 1C–1D | No questions yet |
| Factor theorem | core · 3B | Practice questions |
| Completing the square | core · 2A | No questions yet |
| Graphs and piecewise functions | core · 4A | No questions yet |
| Linear and quadratic equations | core · 2B | Practice questions |
| Linear and quadratic inequalities | core · 3D | No questions yet |
| Linear sequence nth terms | core · 5B | Practice questions |
| Straight line equations | core · 8C–8E | No questions yet |
| Differentiating integer powers | core · 9A | Practice questions |
| Exact trigonometric values | core · 10B | No questions yet |
| Arithmetic series sums | core · 5B | Practice questions |
| Geometric series sums | core · 5B | Practice questions |
| Two simultaneous linear equations | core · 3C | Practice questions |
| Binomial coefficients for integer powers | core · 6A | Practice questions |
| Equation of a tangent | core · 9F | Practice questions |
| Equation of a normal | core · 9F | Practice questions |
| A polynomial stationary point | core · 9D–9E | Practice questions |
| Exact polynomial definite integrals | core · 9A–9C | Practice questions |
| Polynomial division | core · 3A | Practice questions |
| A linear and nonlinear simultaneous pair | core · 3C | Practice questions |
| Trigonometric solutions in an interval | core · 10H | Practice questions |
| A line through two points | core · 8C–8E | Practice questions |
| Coefficients in completed square form | core · 2A | Practice questions |
| Rationalise a conjugate denominator | core · 1C–1D | Practice questions |
| Squared exact trigonometric values | core · 10B | Practice questions |
| Endpoints of an explicitly stated quadratic inequality interval | core · 3D | Practice questions |
| Gradient from a negative integer power | core · 9A | Practice questions |
| Exact operations on surds | core · 1C–1D | Practice questions |
| Exact rationalisation with denominator restrictions | core · 1C–1D | Practice questions |
| Solve a linear inequality as an interval | core · 3D | Practice questions |
| Solve a quadratic inequality as a union of intervals | core · 3D | Practice questions |
| Equivalent equations including horizontal and vertical lines | core · 8C–8E | Practice questions |
| Exact special-angle values with quadrant signs | core · 10B | Practice questions |
| A cubic with a rational root and complete equivalent product | core · 3B | Practice questions |