This is AQA's Level 2 Certificate in Further Mathematics (8365) — often called "GCSE Further Maths" in conversation, though it's officially a separate qualification, additional to GCSE Maths rather than a replacement for it. Designed for students already at or projected for grades 7–9, it bridges the gap to A-Level.
We want to be precise here, because the colloquial name can be misleading. AQA's own specification calls this the "Level 2 Certificate in Further Mathematics" — explicitly described as "intended as an additional qualification to GCSE Mathematics, rather than as a replacement." Your child still sits GCSE Maths as normal. This sits alongside it, not instead of it.
Students who already have, or are expected to achieve, grades 7, 8 or 9 in GCSE Mathematics, and who are likely to progress to A-Level Maths or Further Maths.
Algebra and geometry beyond GCSE Higher tier, an introduction to calculus and matrices, and further trigonometry, functions and graphs — a genuine bridge toward A-Level content.
5 to 9 only. A near-miss on grade 5 becomes an "allowed grade 4." There's no path to grades 1–3 — this qualification isn't designed to award them.
Capped at 15 students. Every facilitator works specifically with the algebra, calculus-introduction and matrices content this qualification actually tests.
Boundaries vary by series — always verify current thresholds at the official AQA site before relying on these for a live decision. This qualification's boundaries are not comparable to GCSE Maths boundaries — they're a different specification entirely.
| Session | 9 | 8 | 7 | 6 | 5 | 4 |
|---|---|---|---|---|---|---|
| Jun 2024 | 136 | 119 | 103 | 86 | 69 | 60 |
Out of 160 (Papers 1+2, 80 marks each). Source: AQA official grade boundary documents, published 22 August 2024. A student scoring below the grade-4 threshold shown is recorded as U (unclassified) — there is no grade 3, 2, or 1 on this qualification.
This qualification places more weight on proof and rigorous argument than GCSE Maths does. The command words below carry more demand here than they typically do at GCSE level, even when the wording looks identical.
| Command Word | What It Requires | Where Marks Are Commonly Lost |
|---|---|---|
| Prove | Provide a complete, logically ordered chain of algebraic steps that establishes the given result for all cases, not just a specific example. | The standard expectation throughout this qualification, since proof is a core skill being assessed — unlike GCSE Maths, where most questions ask for a numeric answer rather than a general argument. |
| Show that | Demonstrate the given result using a method an examiner can follow line by line, typically involving algebraic manipulation rather than a single substitution. | Questions at this level often chain two or three algebraic techniques together — e.g. factorising before applying the factor theorem — before reaching the result to be shown. |
| Hence | Use a previously established result or earlier part of the question directly, rather than starting the next step from scratch. | Marks are typically lost when a student re-derives something from first principles instead of using the earlier result the question is explicitly pointing them toward. |
| Solve | Find all values that satisfy a given equation or system, showing full method. | At this level, frequently involves simultaneous equations with one linear and one quadratic, or equations requiring the use of matrices — both genuinely new techniques beyond GCSE Higher content. |
✓ No card required · ✓ Cancel anytime · ✓ Capped at 15 students