Pearson Edexcel International Advanced Level Further Mathematics (YFM01) exam questions and past papers

Free Edexcel International A Level Further Maths past papers, with mark schemes and model answers for every paper.

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How to use the past papers

Sit each paper under timed conditions, then mark it yourself with the mark scheme. Compare your answers with our model answers to see exactly what a full-mark answer looks like, and note the questions where you lost marks so you know what to revise next.

Edexcel International A Level Further Maths exam questions by topic

Every topic on the Pearson Edexcel International Advanced Level Further Mathematics (YFM01) specification, grouped by paper. Each pack has full model answers.

FP1: Further Pure Mathematics 1 (AS)

1.1 Complex NumbersArithmetic & Argand, modulus-argument (incl. roots of cubics and quartics) Questions Model answers

1.2 Further Algebra and FunctionsRoots & coefficients (quadratics), transformed roots, summation of series Questions Model answers

1.3 Numerical MethodsSign change, Newton-Raphson (incl. interval bisection, linear interpolation) Questions Model answers

1.4 Further Coordinate GeometryParabola, hyperbola (rectangular), parametric, loci (focus-directrix, tangents and normals) Questions Model answers

1.5 MatricesMatrix arithmetic, 2D/3D transformations (2D), determinants & inverses (2x2) Questions Model answers

1.6 Proof and Mathematical InductionSeries, divisibility, matrices Questions Model answers

FP2: Further Pure Mathematics 2 (A2)

2.1 Further Algebra and FunctionsInequalities/modulus, method of differences, Maclaurin/Taylor (incl. series solutions of DEs) Questions Model answers

2.2 Complex NumbersLoci, exponential form (Euler relation), de Moivre, roots of unity, transformations Questions Model answers

2.3 Differential EquationsFirst order linear (incl. substitution), second order homogeneous, second order non-homogeneous, modelling Questions Model answers

2.4 Polar CoordinatesConversion, sketching, area Questions Model answers

FP3: Further Pure Mathematics 3 (A2)

3.1 Hyperbolic FunctionsDefinitions & graphs, identities & equations, inverse hyperbolic functions, differentiation & integration Questions Model answers

3.2 Further Coordinate GeometryEllipse, hyperbola, parametric, loci (eccentricity, focus-directrix) Questions Model answers

3.3 Further CalculusReduction formulae, arc length, surface area, further trig integration (hyperbolic and trig substitutions, quadratic surds) Questions Model answers

3.4 Further Vectors and 3D GeometryScalar product, vector product, lines, planes, intersections, angles, shortest distances (incl. triple scalar product) Questions Model answers

3.5 MatricesMatrix arithmetic (3x3, transpose), 2D/3D transformations, determinants & inverses, eigenvalues/eigenvectors, diagonalisation (symmetric matrices) Questions Model answers

StemUp Extreme Papers

Our hardest Further Maths questions, for students aiming for an A*. Every paper comes with full model answers.

Extreme Further Pure Mathematics120 marks · StemUp Further Maths Question paper Model answers

Extreme Further Mechanics90 marks · StemUp Further Maths Question paper Model answers

Extreme Further Statistics90 marks · StemUp Further Maths Question paper Model answers

Extreme Further Decision Mathematics80 marks · StemUp Further Maths Question paper Model answers

AS Level papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

June 2025 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2023 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2022 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2022 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2021 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2021 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

October 2020 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2019 FP1: Further Pure Mathematics 1Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

A Level papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

June 2025 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2025 FP2A: Further Pure Mathematics 2 (alternative paper A)Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2025 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2025 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2024 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2024 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2023 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2023 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2022 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2022 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2022 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2022 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

October 2021 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2021 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2021 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2021 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

January 2021 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

October 2020 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

October 2020 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2019 FP2: Further Pure Mathematics 2Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

June 2019 FP3: Further Pure Mathematics 3Pearson Edexcel International Advanced Level Further Mathematics (YFM01) Question paper Mark scheme

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