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Further Mathematics

Cambridge AS & A Level · 9231

Cambridge International AS & A Level Further Mathematics (9231)

Develop advanced pure mathematics alongside further mechanics and further probability and statistics.

2026–2027 examinations

Course structure and assessment routes

  • AS: Paper 1 plus either Paper 3 or Paper 4.
  • A Level: all four papers, together or in an eligible staged route. The AS and A Level routes are not interchangeable with Mathematics 9709.

Main syllabus content

  • Further Pure 1: polynomials, matrices, polar coordinates, vectors and induction
  • Further Pure 2: hyperbolic functions, calculus, complex numbers and differential equations
  • Further Mechanics
  • Further Probability & Statistics

Use Syllabus for the topic checklist. Where the qualification offers options, follow your chosen route rather than treating every option as compulsory.

9231 assessment structure

Use the route above to identify which components you take. Marks below are raw marks; the stated weightings determine their contribution to the award.

Paper 1

Further Pure Mathematics 1

Duration
2 hours
Marks
75
Weighting
60% AS / 30% A Level

Paper 2

Further Pure Mathematics 2

Duration
2 hours
Marks
75
Weighting
30% A Level only

Paper 3

Further Mechanics

Duration
1 hour 30 minutes
Marks
50
Weighting
40% AS when selected / 20% A Level

Paper 4

Further Probability & Statistics

Duration
1 hour 30 minutes
Marks
50
Weighting
40% AS when selected / 20% A Level

Key assessment information

  • All questions are compulsory within the selected papers and externally assessed. AS grades a–e; A Level A*–E.
  • A scientific calculator is expected; graphical and symbolic-manipulation calculators are prohibited. MF19 is supplied. Check prior-learning requirements when choosing the accompanying Mathematics route.

Official sources and verification

Checked 2026-09-04 against the official 9231 syllabus/specification (PDF). 2026–2027 examinations.

Source PDF pages: 9, 10, 11, 12, 30. PDF page positions may differ from printed page numbers.

IGCSEfy is an independent study aid. Check the full official document and your exam-paper instructions, especially exam-year options, equipment and centre arrangements. Older archive papers may follow an earlier syllabus.

Your progress on IGCSEfy

Use Syllabus to track the existing topics and Profile → Add Subject to track this exact board and qualification. Your saved syllabus and available past-paper progress stay connected to the same subject.

The assessment cards are reference information, not downloadable papers or new completion items. Switching tabs does not reset progress.

Past-paper availability

156 trackable paper variants across 2020–2025. Series: May/June, Oct/Nov, Specimen.

Open Past Papers to browse available question papers and matching resources, and record completion with the existing tracker.

Open this paper archive