GCSE guide · checked October 2026
GCSE Level 2 Further Maths, explained simply
A stretch qualification for students aiming for top grades in GCSE Maths, taken alongside it and graded 9 to 4. This page shows how the two AQA papers are set, the marks needed for each grade in June 2026, and how to prepare for A-Level Maths. There is one version of the paper, so there is no tier to pick.
- 2 exams
- One calculator paper, one without
- No coursework
- Grades 9 to 4
Exam board
Not sure which board? Ask your child's school, or check the front of a mockA practice exam, usually set by school a few months before the real thing. paper. How to find your exam board
The exams at a glance
AQA GCSE Level 2 Further Maths (8365). 2 papers, 3 hours 30 minutes of exams and 160 marks in total. Each paper is worth 50% of the grade.
Specification: AQA GCSE Level 2 Further Maths (8365)
What's in the exams
AQA lists six areas of content and does not give a percentage for each, so there are no bars here. Questions can range across all of them: number, algebra, coordinate geometry (in two dimensions), calculus, matrix transformations and geometry.
How the grading works
One paper for everyone
There is no Foundation or Higher tier. AQA designs the qualification for students who already have, or are expected to achieve, grades 7, 8 or 9 in GCSE Maths, and the questions get harder through each paper.
An extra, not a replacement
AQA describes it as an additional qualification to GCSE Maths, not a replacement. It can be taught alongside GCSE Maths or after it, and it prepares students for A-Level Maths and possibly Further Maths.
The marks you really need for each grade
You do not need 90% for a top grade. Grade boundaries are set after the exams are marked, so a grade stays the same standard even when the papers are harder. These are the real AQA boundaries from June 2026:
Source: AQA, Level 2 Certificate in Further Mathematics grade boundaries June 2026. Boundaries change slightly every year. See grade boundaries for every subject
Your target score in practice papers
Sit a full set of past papers under timed conditions every few weeks. Work out the percentage for each set, ignore your single worst result (everyone has an off day) and average the rest. Aim for:
89%
to secure a grade 9
67%
to secure a grade 7
45%
to secure a grade 5
40%
to secure a grade 4
We add 5 percentage points to last year's boundary, because boundaries move a little each year and exam nerves cost marks.
Past paper mock builder
Pick an exam series and we'll set out the full AQA mock: which papers to sit, how long to allow and where to download them. Then type in your marks to see the grade they would have earned.
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Paper 1, June 2026 · No calculator · 1 hour 45 minutes
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Paper 2, June 2026 · Calculator allowed · 1 hour 45 minutes
Download the papers and mark schemes: AQA official past papers or Save My Exams past papers. Exam boards keep the most recent series for schools only for a while, so if the newest one isn't there, take the one before.
Enter your marks for each paper to see the grade they would have earned.
What Level 2 Further Maths is really about
Where the word comes from
"Further" comes from the Old English furthra, "more distant". Here it simply means the maths that goes further than the GCSE course, such as an introduction to calculus and matrices.
Where it comes from
Calculus, the newest big idea in this course, was developed independently in the late 1600s by Isaac Newton in England and Gottfried Leibniz in Germany. It lets you describe how fast something is changing, from a falling stone to a growing population. Matrices, grids of numbers that can move and stretch shapes, became central to maths in the 1800s and now sit behind computer graphics and data science.
Why it's still taught
This qualification gives strong GCSE Maths students a head start on A-Level topics such as algebra, calculus and proof, and it develops the rigorous reasoning that A-Level Maths and Further Maths reward. It is not needed for A-Level Maths, and not every school teaches it, so ask yours first.
How to do well in GCSE Level 2 Further Maths
Secure GCSE Maths first
The course assumes secure Key Stage 4 maths. Gaps in algebra and geometry cost marks here too.
Learn the formulae you must know
AQA lists formulae students must learn, such as the quadratic formula and the trigonometry rules. Check its specification for the exact list.
Practise proof and justification
A good share of marks reward clear reasoning, not just an answer, so write each step.
Master the non-calculator paper
Paper 1 has no calculator. Practise algebra and exact answers (surds and fractions) by hand.
Use the past papers
AQA publishes past papers and mark schemes for this qualification, so work through them under timed conditions.
Mark it, then redo it
After each paper, mark it with the mark scheme and redo every question you dropped a week later.
Swipe for more tips →
The three best places to revise
Our teachers' picks. We have no connection with these sites.
AQA: Level 2 Further Maths
The official page with the specification, past papers and mark schemes.
Maths Genie
A free explanation of how the grade boundaries work for this qualification.
Corbettmaths
Free videos and worksheets to secure the GCSE Maths topics the course builds on.
Online GCSE Level 2 Further Maths tutors
A tutor who knows your exam boardThe organisation that sets and marks the exam, such as AQA, Edexcel or OCR. Each has its own syllabus., live one-to-one on Zoom, Meet or Teams. It starts with a free 45-minute assessment.
From about £30 an hour for one-to-one online lessons. Your exact price depends on the tutor and how many hours a week: use our price calculator.
Questions parents ask
Is Level 2 Further Maths a GCSE?
Not quite. It is an AQA Level 2 Certificate, which sits at the same level as a GCSE and is graded on the same 9 to 1 scale, but it is a separate qualification taken in addition to GCSE Maths.
Who is it for?
AQA designs it for students who already have, or are expected to get, grades 7, 8 or 9 in GCSE Maths, as a stretch towards A-Level study.
Is it the same as GCSE Further Maths?
The names get mixed up, but there is no separate "GCSE Further Maths". This is the AQA Level 2 Certificate in Further Mathematics, code 8365.
Do I need it for A-Level Maths?
No. A-Level Maths is open to students with a strong GCSE Maths grade, and many sixth forms set their own entry grade. The certificate is a helpful extra.
How are the grades set?
In June 2026 a grade 9 needed 133 out of 160 (about 83%), a grade 7 needed 98 (about 61%) and a grade 4 needed 55 (about 34%). The marks are set after marking, so they change each year.
When should Level 2 Further Maths tutoring start?
Year 10 or early Year 11, once GCSE Maths is secure. A tutor can teach the calculus and matrices content step by step, with exam-style practice.
Not sure where your child stands?
Our free 45-minute assessment often uses a real past paperA real exam from a previous year, used for practice., so you'll know their likely grade and exactly what to work on. Lessons online across the UK, or at our seven London hubs.