Further Mathematics / Past papers

Past papers

Every Further Mathematics question paper, mark scheme and solved paper by session, plus the same questions sorted by topic.

Two ways to use these. Topical papers group every past question on a single topic together — the right tool while you're still learning something. Yearly papers are whole exams under timed conditions, which is what you want in the last few weeks.

Work topically first, then yearly. Doing it the other way round usually means sitting a full paper before you're ready for one, which teaches you very little except how to feel bad.

Past papers by topic topicals

Every past question on a single topic, collected into one file. Open a paper to see its topics.

Paper 1 — Further Pure Mathematics 17 of 7 ready
TopicQuestionsMark schemeWorked solutions
1.1 Roots of polynomial equationsView PDFView PDFSoon
1.2 Rational functions and graphsView PDFView PDFSoon
1.3 Summation of seriesView PDFView PDFSoon
1.4 MatricesView PDFView PDFSoon
1.5 Polar coordinatesView PDFView PDFSoon
1.6 VectorsView PDFView PDFSoon
1.7 Proof by inductionView PDFView PDFSoon
Paper 2 — Further Pure Mathematics 26 of 6 ready
TopicQuestionsMark schemeWorked solutions
2.1 Hyperbolic functionsView PDFView PDFSoon
2.2 MatricesView PDFView PDFSoon
2.3 DifferentiationView PDFView PDFSoon
2.4 IntegrationView PDFView PDFSoon
2.5 Complex numbersView PDFView PDFSoon
2.6 Differential equationsView PDFView PDFSoon
Paper 3 — Further Mechanics6 of 6 ready
TopicQuestionsMark schemeWorked solutions
3.1 Motion of a projectileView PDFView PDFSoon
3.2 Equilibrium of a rigid bodyView PDFView PDFSoon
3.3 Circular motionView PDFView PDFSoon
3.4 Hooke's lawView PDFView PDFSoon
3.5 Linear motion under a variable forceView PDFView PDFSoon
3.6 MomentumView PDFView PDFSoon
Paper 4 — Further Probability & Statistics5 of 5 ready
TopicQuestionsMark schemeWorked solutions
4.1 Continuous random variablesView PDFView PDFSoon
4.2 Inference using normal and t-distributionsView PDFView PDFSoon
4.3 Chi-squared testsView PDFView PDFSoon
4.4 Non-parametric testsView PDFView PDFSoon
4.5 Probability generating functionsView PDFView PDFSoon

Past papers by session whole papers

Whole papers under timed conditions. Open a session to see its variants.

Oct/Nov 202516 of 16 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 14View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 24View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
Paper 32View PDFView PDFComing soon
Paper 33View PDFView PDFComing soon
Paper 34View PDFView PDFComing soon
Paper 41View PDFView PDFComing soon
Paper 42View PDFView PDFComing soon
Paper 43View PDFView PDFComing soon
Paper 44View PDFView PDFComing soon
May/June 202516 of 16 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 14View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 24View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
Paper 32View PDFView PDFComing soon
Paper 33View PDFView PDFComing soon
Paper 34View PDFView PDFComing soon
Paper 41View PDFView PDFComing soon
Paper 42View PDFView PDFComing soon
Paper 43View PDFView PDFComing soon
Paper 44View PDFView PDFComing soon
Oct/Nov 202412 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
Paper 32View PDFView PDFComing soon
Paper 33View PDFView PDFComing soon
Paper 41View PDFView PDFComing soon
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May/June 202412 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
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Paper 31View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
Oct/Nov 202312 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
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May/June 202312 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
Oct/Nov 202212 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
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Paper 41View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
May/June 202212 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
Oct/Nov 202112 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
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Paper 31View PDFView PDFComing soon
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Paper 33View PDFView PDFComing soon
Paper 41View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
May/June 202112 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
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Paper 41View PDFView PDFComing soon
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Paper 43View PDFView PDFComing soon
Oct/Nov 202012 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
Paper 32View PDFView PDFComing soon
Paper 33View PDFView PDFComing soon
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May/June 202012 of 12 papers
PaperQuestion paperMark schemeSolved paper
Paper 11View PDFView PDFComing soon
Paper 12View PDFView PDFComing soon
Paper 13View PDFView PDFComing soon
Paper 21View PDFView PDFComing soon
Paper 22View PDFView PDFComing soon
Paper 23View PDFView PDFComing soon
Paper 31View PDFView PDFComing soon
Paper 32View PDFView PDFComing soon
Paper 33View PDFView PDFComing soon
Paper 41View PDFView PDFComing soon
Paper 42View PDFView PDFComing soon
Paper 43View PDFView PDFComing soon