AQA A-level Further Maths (7367): papers, options and grade boundaries
A-level Further Maths
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AQA A-level Further Maths papers at a glance
| Paper | Content | Length | Marks | Share of A-level |
|---|---|---|---|---|
| Paper 1 | Compulsory content, sections A to J | 2 hours | 100 | 33⅓% |
| Paper 2 | Compulsory content, sections A to J | 2 hours | 100 | 33⅓% |
| Paper 3 | Two answer booklets, from Discrete and Statistics, Statistics and Mechanics, or Mechanics and Discrete | 2 hours | 100 | 33⅓% |
The specification is AQA A-level Further Mathematics 7367, which is linear. Each paper is a mix of question styles, from short, single-mark questions to multi-step problems. A calculator is required, and AQA's further maths minimum includes an iterative function, calculations with matrices up to 3 × 3, and summary statistics and probabilities from standard distributions. The qualification builds on the whole GCSE content and on the AS and A-level Mathematics content, so you need that first.
The compulsory content
- A Proof, B Complex numbers, C Matrices, D Further algebra and functions, E Further calculus.
- F Further vectors, G Polar coordinates, H Hyperbolic functions, I Differential equations, J Numerical methods.
The optional applications are mechanics, statistics and discrete mathematics. You study two, and the pair decides the booklets in Paper 3. Check with your teacher which pair you take, because the boundaries below are reported separately for each.
Worked examples in AQA style
Complex numbers: a quadratic with complex roots
Solve z² − 4z + 13 = 0. The discriminant is negative, so the roots are a complex conjugate pair:
Complex numbers: de Moivre
Find (1 + i)⁸. Write 1 + i = √2 (cos π/4 + i sin π/4), then apply de Moivre's theorem:
Series: a Maclaurin expansion
The Maclaurin series of e^{2x} up to x³ comes from f(0) = 1, f′(0) = 2, f″(0) = 4 and f‴(0) = 8:
Check complex number work in the Complex Numbers Calculator. Try one on the page:
AQA A-level Further Maths grade boundaries
These are AQA's subject grade boundaries from its document "Grade boundaries, June 2026 exams: A-level", published on 13 August 2026. Each figure is the lowest total mark, out of 300, that earns that grade, reported by Paper 3 option pair.
| June 2026 | A* | A | B | C | D | E |
|---|---|---|---|---|---|---|
| Option DS (Discrete and Statistics), out of 300 | 240 | 203 | 169 | 135 | 101 | 67 |
| Option MD (Mechanics and Discrete), out of 300 | 239 | 202 | 168 | 135 | 102 | 69 |
| Option SM (Statistics and Mechanics), out of 300 | 236 | 199 | 165 | 132 | 99 | 66 |
The three option pairs are within 4 marks of each other at every grade, so the choice of options changes the boundary very little.
How AQA Further Maths differs from Edexcel
Pearson Edexcel A level Further Mathematics (9FM0) has four papers, not three: two 1 hour 30 minute Core Pure papers of 75 marks each and two optional papers of 75 marks each, worth 25% each. Edexcel offers eight option papers, giving ten permitted pairs, including Decision Mathematics. AQA's Paper 3 is one 2 hour, 100 mark paper with two booklets. See theEdexcel A-level Further Maths guide.
Use the daily paper as a short timed mock
Uni-Sine publishes a free daily paper on theA-level Further Mathstrack. It is a short timed paper of 8 questions worth 25 to 35 marks, not a full AQA paper, and it is not written by AQA. It covers complex numbers and Argand diagrams, roots of polynomials, Maclaurin series, proof by induction, hyperbolic functions, matrices, polar coordinates, second-order differential equations and volumes of revolution, which is mostly the compulsory content. It does not cover the optional mechanics, statistics or discrete topics.
Common mistakes in AQA A-level Further Maths
- Dropping the conjugate root when the coefficients are real.
- Mixing degrees and radians in complex number arguments.
- Weak induction write-ups. State the base case, the assumption and the conclusion.
Exam answers
The answers and a worked mark scheme come with today's paper once it is marked. We do not publish official or past paper answers. Every question on the daily paper is our own.
Common questions
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Do I need A-level Maths for Further Maths?
What were the AQA Further Maths grade boundaries in June 2026?
Revision cards
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Where to go next
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