Cambridge A-Level Further Mechanics (9231 Paper 3) Past Papers
Every year of Further Mechanics in one place. This page collects the 9231 Paper 3 question papers and mark schemes for all variants, from 2020 to 2025 — so you can work through one component start to finish instead of hunting session by session.
Further Mechanics is one of the two applied options; it can count toward either the AS Level or the full A Level.
What's on 9231 Paper 3: Further Mechanics?
Further Mechanics is a 1h 30min paper worth 50 marks, made up of the 6 syllabus areas below. Further Mechanics is one of the two applied options; it can count toward either the AS Level or the full A Level.
Motion of a projectile
Modelling projectile motion and finding range, greatest height and the equation of the path.
Equilibrium of a rigid body
Moments, the centre of mass, and a rigid body resting in equilibrium.
Circular motion
Motion in a horizontal or vertical circle and the forces involved.
Hooke's law
Elastic strings and springs, tension, and elastic potential energy.
Linear motion under a variable force
Using calculus when the force, and so the acceleration, varies with time or position.
Momentum
Impulse, and the direct and oblique impact of particles, including the coefficient of restitution.
AS Level or A Level? AS & A Level
Further Mechanics is one of the two applied options. With Further Pure Mathematics 1 it forms an AS Level, and it can also count toward the full A Level.
Centres choose the component combination - if you are unsure which papers your route needs, check with your school's exams officer.
When is this paper next sat?
Cambridge examines A-Level Mathematics in the June and October/November series each year (with a February/March series in some countries). The next sitting is the October/November 2026 series.
Further Mechanics (9231/3) past papers by year
2025
2024
2023
2022
2021
2020
How to revise with Further Mechanics past papers
Work through one component at a time
Doing five years of Further Mechanics back-to-back trains the specific question styles and topic weighting of this one paper far better than jumping between components. Patterns repeat - you will start to recognise them.
Time yourself at 1h 30min
Sit each paper at the real duration. Pacing is a skill in itself, and Further Mechanics rewards finishing every question with time to check.
Mark with the matching scheme
Self-mark with the mark scheme for the same session and variant. Note where you lost method marks versus accuracy marks - they need different fixes.
Practise across variants
Variants 1, 2 and 3 test the same syllabus at equivalent difficulty. Working all three for a year gives you three fresh sittings of the same paper.
Tip: open a question paper and its mark scheme side-by-side in our free Exam Hub.
Other Further Mathematics 9231 papers
9231 Paper 3 — Frequently asked questions
What topics are on 9231 Paper 3 (Further Mechanics)?
What is the difference between the 9231/31, /32 and /33 variants?
Where can I get the mark schemes for Further Mechanics?
Copyright & Educational Use
All examination materials including question papers and mark schemes are the intellectual property of Cambridge Assessment International Education.
We share these materials freely for educational purposes to help students prepare for their examinations. This platform is an independent study resource and is not affiliated with or endorsed by Cambridge International.
For official examination resources, registration, and support, please visit cambridgeinternational.org.