AQA · A-level7367 A-level Further Mathematics
5 components39 topics39 with lessons
Source: AQA 7367 specification · Confirm the syllabus year with your school.
Exam infoExam structure, syllabus and formula booklet2 official documents
First teaching 2017
| Paper | Time | Marks | Weighting |
|---|
| Paper 1 Compulsory content | 2 h | 100 | 33⅓% |
| Paper 2 Compulsory content | 2 h | 100 | 33⅓% |
| Paper 3 Two options | 2 h | 100 | 33⅓% |
- For Paper 3, choose two of Mechanics, Statistics and Discrete. Each is answered in its own booklet.
Summarised from the official specification, checked 16 Oct 2026. The board's document is the final word.
PDFVersion 1.1 (October 2017)
A-level Further Mathematics 7367 — specification
Three 2-hour, 100-mark papers. Papers 1 and 2 cover the compulsory content. For Paper 3, choose two of the three options: Mechanics, Statistics or Discrete. Each option is answered in its own booklet.
PDF
Formulae and statistical tables for A-level Further Mathematics
The booklet provided in AS and A-level Further Mathematics exams.
All AQA documents: exam rules, key dates and grade thresholds →
Paper 1Compulsory content10 topics
- Proof
Proof by induction1 lessons - Complex numbers
Arithmetic and conjugates · The Argand diagram, modulus and argument · Polynomial equations and square roots · Polar and exponential forms · Loci and regions in the Argand diagram5 lessons - Matrices
Matrix algebra and inverses · Transformations, invariant points and lines · Eigenvalues and diagonalisation3 lessons - Further algebra and functions
Roots of polynomial equations · Summation of series · Rational functions and asymptotes · Rational inequalities4 lessons - Further calculus
Volumes, mean values and improper integrals · Inverse trig and hyperbolic functions in calculus · Maclaurin series3 lessons - Further vectors
The scalar product and angles · The vector equation of a line · Intersecting, parallel and skew lines · Foot of the perpendicular and shortest distances4 lessons - Polar coordinates
Polar curves and areas1 lessons - Hyperbolic functions
Hyperbolic functions and their inverses1 lessons - Differential equations
First-order equations: integrating factors · Second-order equations: auxiliary equation2 lessons - Numerical methods
Newton–Raphson, bisection and interpolation1 lessons
Paper 2Compulsory content10 topics
- Proof
Proof by induction1 lessons - Complex numbers
Arithmetic and conjugates · The Argand diagram, modulus and argument · Polynomial equations and square roots · Polar and exponential forms · Loci and regions in the Argand diagram5 lessons - Matrices
Matrix algebra and inverses · Transformations, invariant points and lines · Eigenvalues and diagonalisation3 lessons - Further algebra and functions
Roots of polynomial equations · Summation of series · Rational functions and asymptotes · Rational inequalities4 lessons - Further calculus
Volumes, mean values and improper integrals · Inverse trig and hyperbolic functions in calculus · Maclaurin series3 lessons - Further vectors
Vector product and planes · Shortest distances and triple products2 lessons - Polar coordinates
Polar curves and areas1 lessons - Hyperbolic functions
Hyperbolic functions and their inverses1 lessons - Differential equations
First-order equations: integrating factors · Second-order equations: auxiliary equation2 lessons - Numerical methods
Newton–Raphson, bisection and interpolation1 lessons
Paper 3Mechanics option5 topics
- Dimensional analysis
SI units, prefixes and estimates1 lessons - Momentum
Momentum and impulse · Momentum and its conservation · Coalescing and loss of kinetic energy · Directions, rebounds and several collisions4 lessons - Work, energy and power
Work done · Kinetic and potential energy · The work–energy principle · Power4 lessons - Circular motion
Kinematics of circular motion · Centripetal acceleration and force2 lessons - Centres of mass and moments
Centres of mass of laminas1 lessons
Paper 3Statistics option7 topics
- Discrete random variables
Probability distributions · Expectation and variance · Expectation, variance and the discrete uniform distribution3 lessons - Poisson distribution
Poisson probabilities · Scaling rates and sums · Poisson and normal approximations3 lessons - Type I and Type II errors
Type I and Type II errors1 lessons - Continuous random variables
The continuous uniform distribution · Probability density functions · Mean and variance · Median and percentiles4 lessons - Exponential distribution
Exponential distribution1 lessons - Inference
The sample mean and the Central Limit Theorem · Confidence intervals2 lessons - Chi-squared tests
Goodness of fit and contingency tables1 lessons
Paper 3Discrete option7 topics
- Graphs
Graphs and their properties1 lessons - Networks
Kruskal's and Prim's algorithms · Dijkstra's and Floyd's algorithms · Route inspection and TSP3 lessons - Network flows
Maximum flow and minimum cut1 lessons - Linear programming
Formulating and solving linear programmes1 lessons - Critical path analysis
Activity networks and critical paths1 lessons - Game theory
Zero-sum games1 lessons - Binary operations and group theory
Groups and subgroups1 lessons