Edexcel A Level · Free tool
Edexcel A Level Further Mathematics (9FM0) Test Generator
Make a free Edexcel A Level Further Mathematics (9FM0) practice test from real past-paper questions across 58 syllabus topics. Choose topics, papers and a mark target, then download the question paper and mark scheme as PDFs.
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Pick topics and a mark target, then generate. You get a printable question paper and a matching mark scheme, both as PDFs.
9FM0 topics you can include
Every topic below has real past-paper questions with official mark schemes.
- Proof4 questions
- Complex numbers15 questions
- Matrices6 questions
- Further algebra and functions9 questions
- Further calculus10 questions
- Further vectors4 questions
- Polar coordinates6 questions
- Hyperbolic functions6 questions
- Differential equations10 questions
- Derivation and use of Taylor series7 questions
- Use of Taylor series method for series solution of differential equations5 questions
- Cartesian and parametric equations for the parabola and rectangular hyperbola, ellipse and hyperbola5 questions
- The vector product a × b of two vectors3 questions
- Numerical solution of first order and second order differential equations3 questions
- Algebraic inequalities and inequations2 questions
- The Axioms of a group3 questions
- Further calculus: reduction formulae (FP2)5 questions
- Eigenvalues and eigenvectors of 2 × 2 and 3 × 3 matrices3 questions
- Further loci and regions in the Argand diagram5 questions
- An understanding of the division theorem and its application to the Euclidean Algorithm and congruences5 questions
- First and second order recurrence relations4 questions
- Calculation of the mean and variance of discrete probability distributions3 questions
- The Poisson distribution2 questions
- Geometric and negative binomial distributions6 questions
- Extend ideas of hypothesis tests to test for the mean of a Poisson distribution4 questions
- Applications of the Central Limit Theorem to other distributions2 questions
- Goodness of fit tests and Contingency Tables4 questions
- Probability generating functions (FS1)4 questions
- Type I and Type II errors3 questions
- Least squares linear regression4 questions
- The concept of a continuous random variable7 questions
- Use of formulae to calculate the product moment correlation coefficient2 questions
- Distribution of linear combinations of independent Normal random variables4 questions
- Concepts of standard error, estimator, bias6 questions
- Hypothesis test and confidence interval for the variance of a Normal distribution4 questions
- Hypothesis test and confidence interval for the mean of a Normal distribution with unknown variance5 questions
- Momentum and impulse. The impulse-momentum principle5 questions
- Kinetic and potential energy, work and power5 questions
- Elastic strings and springs (FM1)3 questions
- Direct impact of elastic spheres3 questions
- Oblique impact of smooth elastic spheres and a smooth sphere with a fixed surface6 questions
- Motion in a circle (FM2)8 questions
- Moment of a force. Centre of mass of a discrete mass distribution in one and two dimensions7 questions
- Centre of mass of uniform and non-uniform rigid bodies and composite bodies7 questions
- Newton's laws of motion, for a particle moving in one dimension, when the applied force is variable6 questions
- Kinematics of a particle moving in a straight line when the acceleration is a function of the displacement (x), or time (t) or velocity (v)2 questions
- The general ideas of algorithms and the implementation of an algorithm given by a flow chart or text5 questions
- The minimum spanning tree (minimum connector) problem. Prim's and Kruskal's algorithm4 questions
- Algorithm for finding the shortest route around a network, travelling along every edge at least once and ending at the start vertex (The Route Inspection Algorithm)1 questions
- Modelling of a project by an activity network, from a precedence table4 questions
- Formulation of problems as linear programs including the meaning and use of slack, surplus and artificial variables4 questions
- The north-west corner method for finding an initial basic feasible solution4 questions
- Cost matrix reduction. Use of the Hungarian algorithm to find a least cost allocation4 questions
- Cuts and their capacity4 questions
- Principles of dynamic programming. Bellman's principle of optimality4 questions
- Two person zero-sum games and the pay-off matrix4 questions
- Use of recurrence relations to model appropriate problems7 questions
- Use, construct and interpret decision trees4 questions