specification overview
AQA A-Level Further Mathematics (7367) is a two-year linear qualification extending A-Level Maths. Students sit three 2-hour papers of 100 marks each (33.3% weight): two compulsory Further Pure papers, plus Paper 3, which combines two of three optional applications (Mechanics, Statistics, Discrete) in a single paper with two answer booklets. The three valid Paper 3 combinations are Discrete+Statistics, Statistics+Mechanics, or Mechanics+Discrete.
subject content
1. Further Pure Mathematics
Papers 1, 2- Complex numbers, matrices, further vectors
- Series and induction; polar coordinates; hyperbolic functions
- Further calculus (further integration, differential equations)
2. Mechanics (optional application)
Paper 3- Dimensional analysis, momentum and collisions, centres of mass and moments
- Work, energy and power; circular motion
3. Statistics (optional application)
Paper 3- Discrete random variables and expectation; Poisson distribution; continuous random variables; exponential distribution
- Type I and Type II errors; chi-squared tests for association; inference using the one-sample t-distribution; confidence intervals
4. Discrete Mathematics (optional application)
Paper 3- Graphs, networks, network flows, critical path analysis
- Linear programming, game theory for zero-sum games, binary operations
assessment structure
| Paper | What's assessed | Length | Marks | Weight | Question types |
|---|---|---|---|---|---|
| Paper 1 | Any of the compulsory Further Pure content: proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors, polar coordinates, hyperbolic functions, differential equations, numerical methods | 2h | 100 | 33.3% | Short and long answer questions |
| Paper 2 | Any of the compulsory Further Pure content: proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors, polar coordinates, hyperbolic functions, differential equations, numerical methods | 2h | 100 | 33.3% | Short and long answer questions |
| Paper 3 (Optional applications) | Two of three optional applications, combined in one paper with two answer booklets. Valid combinations: Discrete+Statistics, Statistics+Mechanics, or Mechanics+Discrete. | 2h | 100 | 33.3% | Two answer booklets, one for each chosen optional application, with a mix of short and multi-step questions |
Papers 1 and 2 are compulsory Further Pure. For Paper 3, students study two of the three optional applications and sit a single 2-hour, 100-mark paper containing two answer booklets, one for each chosen option. The three valid combinations are Discrete+Statistics, Statistics+Mechanics, or Mechanics+Discrete.
assessment objectives
| AO | What it means | Overall |
|---|---|---|
| AO1 | Use and apply standard techniques. | 50% |
| AO2 | Reason, interpret and communicate mathematically. | 25% |
| AO3 | Solve problems within mathematics and in other contexts. | 25% |
key tips for success
Take A-Level Maths alongside
Further Maths assumes A-Level Maths content. Ideally sit both together, revising A-Level Maths topics as they underpin Further Pure work.
Pick your two Paper 3 options carefully
Paper 3 combines two of three optional applications. Pick the pair that fits your target degree: Mechanics+Statistics for physics/engineering, Statistics+Discrete for economics/computer science, Mechanics+Discrete for engineering with a computing lean. The valid combinations are Discrete+Statistics, Statistics+Mechanics, or Mechanics+Discrete.
Master complex numbers early
Complex numbers thread through Further Pure. Learn De Moivre's theorem, roots of unity, exponential form and geometric interpretation until automatic.
Practise matrices and linear algebra
Matrices, determinants, eigenvalues and eigenvectors come up regularly. Practise 2×2 and 3×3 matrix operations under time pressure.
Learn to solve differential equations
First and second-order linear differential equations are core Further Pure. Practise integrating factor, complementary function + particular integral, and modelling.
Use formula booklet strategically
AQA provides a formula booklet in the exam. Know what's in it so you don't waste time deriving standard results.
Where to next
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