AQA Further Mathematics
7367 · A level · 1.1, October 2017
Each selected application booklet is 50 marks. Numerical methods belong to compulsory pure.
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 |
|---|---|---|
| Composite functions | core · Assumed A-level Mathematics knowledge | Practice questions |
| Factor theorem | core · Assumed A-level Mathematics knowledge | Practice questions |
| Linear and quadratic equations | core · Assumed A-level Mathematics knowledge | Practice questions |
| Linear sequence nth terms | core · Assumed A-level Mathematics knowledge | Practice questions |
| Differentiating integer powers | core · Assumed A-level Mathematics knowledge | Practice questions |
| Matrix multiplication | core · Matrices | Practice questions |
| Complex number arithmetic | core · B Complex numbers | Practice questions |
| Modulus and argument | core · B Complex numbers | No questions yet |
| De Moivre and roots | core · B Complex numbers | Practice questions |
| Complex loci | core · B Complex numbers | Practice questions |
| Determinants | core · C Matrices | Practice questions |
| Inverse matrices | core · C Matrices | Practice questions |
| Proof by induction | core · A Proof | Practice questions |
| Sums of powers | core · D Further algebra and functions | No questions yet |
| Integration methods | core · E Further calculus | Practice questions |
| Areas in polar coordinates | core · G Polar coordinates | Practice questions |
| Hyperbolic functions | core · H Hyperbolic functions | Practice questions |
| First order differential equations | core · I Differential equations | Practice questions |
| Scalar products and vector geometry | core · F Further vectors | Practice questions |
| Arithmetic series sums | core · Assumed A-level Mathematics knowledge | Practice questions |
| Geometric series sums | core · Assumed A-level Mathematics knowledge | Practice questions |
| Binomial probabilities | statistics · Discrete random variables | Practice questions |
| Shortest paths | discrete · Graphs and algorithms | Practice questions |
| Momentum and impulse | mechanics · Momentum and collisions | Practice questions |
| Solving linear equations | core · Assumed A-level Mathematics knowledge | Practice questions |
| Two simultaneous linear equations | core · Assumed A-level Mathematics knowledge | Practice questions |
| Binomial coefficients for integer powers | core · Assumed A-level Mathematics knowledge | Practice questions |
| Inverting a linear function | core · Assumed A-level Mathematics knowledge | Practice questions |
| Inverting a restricted quadratic | core · Assumed A-level Mathematics knowledge | Practice questions |
| Equation of a tangent | core · Assumed A-level Mathematics knowledge | Practice questions |
| Equation of a normal | core · Assumed A-level Mathematics knowledge | Practice questions |
| A polynomial stationary point | core · Assumed A-level Mathematics knowledge | Practice questions |
| Exact polynomial definite integrals | core · E Further calculus | Practice questions |
| Dividing complex numbers | core · B Complex numbers | Practice questions |
| Conjugate roots of a real quadratic | core · B Complex numbers | Practice questions |
| Vector scalar product | core · F Further vectors | Practice questions |
| A point on a vector line | core · F Further vectors | Practice questions |
| Hyperbolic functions at logarithmic arguments | core · H Hyperbolic functions | Practice questions |
| An exponential growth differential equation | core · I Differential equations | Practice questions |
| Area swept by constant polar radius | core · G Polar coordinates | Practice questions |
| The algebra in an induction step | core · A Proof | Practice questions |
| Expected value of a discrete variable | statistics · Discrete random variables | Practice questions |
| Constant acceleration | mechanics · Assumed A-level Mathematics mechanics knowledge | Practice questions |
| Partial fractions | core · E Further calculus | Practice questions |
| One Newton-Raphson iteration | core · J Numerical methods | Practice questions |
| Polynomial division | core · D Further algebra and functions | Practice questions |
| A linear and nonlinear simultaneous pair | core · Assumed A-level Mathematics knowledge | Practice questions |
| Trigonometric solutions in an interval | core · Assumed A-level Mathematics knowledge | Practice questions |
| Second order differential equations | core · I Differential equations | Practice questions |
| Maclaurin expansions | core · E Further calculus | Practice questions |
| Eigenvalues of a 2 × 2 matrix | core · C10 | Practice questions |
| An eigenvector of a 2 × 2 matrix | core · C10 | Practice questions |
| An area swept by a limaçon | core · G Polar coordinates | Practice questions |
| A one-sided binomial critical region | statistics · Hypothesis tests | Practice questions |
| Conditional probability | statistics · Probability | Practice questions |
| Bisection interval refinement | core · J Numerical methods | Practice questions |
| Gradient from a negative integer power | core · Assumed A-level Mathematics knowledge | Practice questions |
| A cubic with a rational root and complete equivalent product | core · Assumed A-level Mathematics knowledge | Practice questions |
| Powers of a complex number | core · B Complex numbers | Practice questions |
| All arguments of complex roots | core · B Complex numbers | Practice questions |
| An Argand perpendicular bisector | core · B Complex numbers | Practice questions |
| Intersecting an Argand circle and line | core · B Complex numbers | Practice questions |
| Eigenvalues of a non-triangular matrix | core · C10 | Practice questions |
| An eigenvector of a non-triangular matrix | core · C10 | Practice questions |
| A matrix power acting on a vector | core · C10 | Practice questions |
| A parameter that makes a matrix singular | core · C Matrices | Practice questions |
| The algebra in a telescoping induction step | core · A Proof | Practice questions |
| A logarithm Maclaurin expansion | core · E Further calculus | Practice questions |
| A negative-power binomial expansion | core · E Further calculus | Practice questions |
| A differential equation with a repeated root | core · I Differential equations | Practice questions |
| A polynomial particular integral | core · I Differential equations | Practice questions |
| A first-order equation with a forcing term | core · I Differential equations | Practice questions |
| Recovering e^x from a hyperbolic value | core · H Hyperbolic functions | Practice questions |
| Hyperbolic double angles | core · H Hyperbolic functions | Practice questions |
| Area of one polar rose petal | core · G Polar coordinates | Practice questions |
| Area swept by a polar spiral | core · G Polar coordinates | Practice questions |
| An exact integral of an even sine power | core · E Further calculus | Practice questions |
| Intersecting a line and a plane | core · F Further vectors | Practice questions |
| The closest point on a line | core · F Further vectors | Practice questions |
| A one-dimensional collision with restitution | mechanics · Momentum and collisions | Practice questions |