Cambridge 9709 · Paper 1 · 42 papers

A Level Maths 9709 topical past papers

Every question on 42 Cambridge 9709 Paper 1 papers from 2020 to 2025 — 775 question parts — filed under the syllabus topic it tests. The biggest is Arc length and sector area, with 44 parts on 42 of the 42 papers; next is Stationary points and sketching. Topics run biggest first, so reading down the page is also a revision order.

This is an index, not a copy. Cambridge publishes the papers and mark schemes; this page tells you where each topic’s questions are — paper code, question number and marks — and every paper links to a page where you can sit it online and have it marked.

Updated 5 October 2026

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1.6 Series

1.7 Differentiation

1.2 Functions

1.3 Coordinate geometry

1.8 Integration

1.5 Trigonometry

1.4 Circular measure

1.1 Quadratics

Arc length and sector area — 9709 past paper questions

Stationary points and sketching — 9709 past paper questions

49 question parts across 39 of the 42 papers, carrying 6.6% of all the marks counted (1.7 Differentiation). Revise it: Differentiation →

nth term and sum — 9709 past paper questions

44 question parts across 38 of the 42 papers, carrying 6.6% of all the marks counted (1.6 Series). Revise it: Arithmetic and geometric progressions →

Applications of differentiation — 9709 past paper questions

47 question parts across 36 of the 42 papers, carrying 6.6% of all the marks counted (1.7 Differentiation). Revise it: Differentiation →

PaperQuestion (marks)
9709/11/O/N/25Q7 (6), Q11 (3)
9709/13/O/N/25Q11 (6)
9709/11/M/J/25Q7 (4)
9709/12/M/J/25Q4 (3), Q9 (4)
9709/13/M/J/25Q1 (4)
9709/11/O/N/24Q7 (4), Q9 (4)
9709/12/O/N/24Q10 (3)
9709/13/O/N/24Q11 (6)
9709/11/M/J/24Q11 (8)
9709/12/M/J/24Q10 (4)
9709/13/M/J/24Q9 (5)
9709/12/F/M/24Q5 (6)
9709/11/O/N/23Q3 (3), Q10 (2)
9709/12/O/N/23Q3 (2)
9709/13/O/N/23Q9 (8)
9709/11/M/J/23Q9 (6), Q10 (6)
9709/12/M/J/23Q11 (4)
9709/13/M/J/23Q9 (6)
9709/12/F/M/23Q3 (4)
9709/11/O/N/22Q2 (2)
9709/12/O/N/22Q11 (3)
9709/13/O/N/22Q4 (5), Q7 (4)
9709/11/M/J/22Q10 (3)
9709/12/M/J/22Q10 (6)
9709/13/M/J/22Q8 (4), Q10 (6), Q11 (4)
9709/11/O/N/21Q10 (4)
9709/12/O/N/21Q9 (6), Q11 (5)
9709/13/O/N/21Q8 (4)
9709/11/M/J/21Q11 (5)
9709/13/M/J/21Q11 (4)
9709/12/F/M/21Q6 (3), Q11 (4)
9709/11/O/N/20Q3 (3)
9709/12/O/N/20Q7 (3)
9709/12/M/J/20Q3 (5), Q8 (3)
9709/13/M/J/20Q6 (7)
9709/12/F/M/20Q4 (4)

Binomial expansion — 9709 past paper questions

Graph transformations — 9709 past paper questions

Area and volume of revolution — 9709 past paper questions

33 question parts across 33 of the 42 papers, carrying 5.5% of all the marks counted (1.8 Integration). Revise it: Integration →

Solve trig equations — 9709 past paper questions

Lines and circles algebraically — 9709 past paper questions

33 question parts across 33 of the 42 papers, carrying 4.9% of all the marks counted (1.3 Coordinate geometry). Revise it: Coordinate geometry →

Constant of integration — 9709 past paper questions

Inverse functions — 9709 past paper questions

Range and composition — 9709 past paper questions

38 question parts across 36 of the 42 papers, carrying 4.2% of all the marks counted (1.2 Functions). Revise it: Functions →

Circle equation — 9709 past paper questions

31 question parts across 30 of the 42 papers, carrying 3.6% of all the marks counted (1.3 Coordinate geometry). Revise it: Coordinate geometry →

GP convergence and S∞ — 9709 past paper questions

Discriminant — 9709 past paper questions

25 question parts across 25 of the 42 papers, carrying 3% of all the marks counted (1.1 Quadratics). Revise it: Quadratics →

Basic trig identities — 9709 past paper questions

27 question parts across 27 of the 42 papers, carrying 2.8% of all the marks counted (1.5 Trigonometry). Revise it: Trigonometric identities & equations →

Complete the square — 9709 past paper questions

30 question parts across 29 of the 42 papers, carrying 2.5% of all the marks counted (1.1 Quadratics). Revise it: Quadratics →

Line forms and distance — 9709 past paper questions

16 question parts across 15 of the 42 papers, carrying 1.9% of all the marks counted (1.3 Coordinate geometry). Revise it: Coordinate geometry →

Definite integrals — 9709 past paper questions

15 question parts across 14 of the 42 papers, carrying 1.8% of all the marks counted (1.8 Integration). Revise it: Integration →

Intersections and parameters — 9709 past paper questions

11 question parts across 11 of the 42 papers, carrying 1.6% of all the marks counted (1.3 Coordinate geometry). Revise it: Coordinate geometry →

Hidden quadratic (substitution) — 9709 past paper questions

12 question parts across 12 of the 42 papers, carrying 1.6% of all the marks counted (1.1 Quadratics). Revise it: Quadratics →

Differentiation rules and chain rule — 9709 past paper questions

13 question parts across 12 of the 42 papers, carrying 1.4% of all the marks counted (1.7 Differentiation). Revise it: Differentiation →

Simultaneous linear–quadratic — 9709 past paper questions

10 question parts across 10 of the 42 papers, carrying 1.3% of all the marks counted (1.1 Quadratics). Revise it: Quadratics →

Inverse trig notation — 9709 past paper questions

11 question parts across 10 of the 42 papers, carrying 1% of all the marks counted (1.5 Trigonometry). Revise it: Trigonometric identities & equations →

Trig graphs — 9709 past paper questions

11 question parts across 11 of the 42 papers, carrying 0.9% of all the marks counted (1.5 Trigonometry). Revise it: Trigonometric identities & equations →

Recognise AP and GP — 9709 past paper questions

8 question parts across 8 of the 42 papers, carrying 0.8% of all the marks counted (1.6 Series). Revise it: Arithmetic and geometric progressions →

Exact trig values — 9709 past paper questions

10 question parts across 10 of the 42 papers, carrying 0.7% of all the marks counted (1.5 Trigonometry). Revise it: Trigonometric identities & equations →

Gradient and derivative notation — 9709 past paper questions

8 question parts across 8 of the 42 papers, carrying 0.6% of all the marks counted (1.7 Differentiation). Revise it: Differentiation →

Solve quadratics and inequalities — 9709 past paper questions

6 question parts across 6 of the 42 papers, carrying 0.5% of all the marks counted (1.1 Quadratics). Revise it: Quadratics →

PaperQuestion (marks)
9709/12/O/N/25Q1 (2)
9709/13/O/N/25Q10 (5)
9709/12/O/N/23Q7 (1)
9709/11/O/N/22Q1 (3)
9709/11/M/J/22Q1 (2)
9709/12/F/M/21Q11 (2)

Equation of a straight line — 9709 past paper questions

4 question parts across 4 of the 42 papers, carrying 0.4% of all the marks counted (1.3 Coordinate geometry). Revise it: Coordinate geometry →

PaperQuestion (marks)
9709/12/O/N/25Q7 (4)
9709/12/F/M/23Q11 (2)
9709/13/M/J/22Q7 (2)
9709/13/O/N/20Q11 (4)

Inverse graphically — 9709 past paper questions

5 question parts across 5 of the 42 papers, carrying 0.3% of all the marks counted (1.2 Functions). Revise it: Functions →

PaperQuestion (marks)
9709/11/M/J/25Q10 (2)
9709/12/O/N/24Q5 (2)
9709/11/M/J/24Q6 (2)
9709/12/M/J/23Q8 (2)
9709/13/O/N/21Q6 (1)

Radians and degrees — 9709 past paper questions

5 question parts across 5 of the 42 papers, carrying 0.3% of all the marks counted (1.4 Circular measure). Revise it: Circular measure →

PaperQuestion (marks)
9709/12/M/J/25Q8 (2)
9709/12/F/M/24Q10 (3)
9709/11/O/N/23Q6 (1)
9709/13/O/N/23Q10 (1)
9709/12/M/J/21Q12 (2)

Integration as reverse differentiation — 9709 past paper questions

2 question parts across 2 of the 42 papers, carrying 0.2% of all the marks counted (1.8 Integration). Revise it: Integration →

PaperQuestion (marks)
9709/12/M/J/25Q9 (3)
9709/11/O/N/23Q10 (3)

Function terminology — 9709 past paper questions

3 question parts across 3 of the 42 papers, carrying 0.1% of all the marks counted (1.2 Functions). Revise it: Functions →

PaperQuestion (marks)
9709/12/O/N/24Q5 (1)
9709/12/M/J/21Q3 (1)
9709/13/O/N/20Q6 (2)

How the questions were sorted

Each question part was read against its published mark scheme and filed under the one syllabus topic it mainly tests, using the topic list in Cambridge’s own syllabus. A part that also draws on a second topic is listed once, under the first. The marks shown are each part’s full tariff; “choice” marks an essay candidates may pick instead of another. The 9709 syllabus, topic by topic → The same topics ranked by share of the marks →

Practise Mathematics against real mark schemes

Quanta has real Cambridge A Level Maths 9709 past-paper questions, broken into skill checkpoints, marked criterion by criterion the way examiners mark — and it tracks which skills you’re missing. Free for individual students.

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Common questions

Where can I find 9709 topical past papers?

This page is a free topical index: every question on 42 9709 Paper 1 papers, sorted by syllabus topic, with the paper code and question number to find it. Each paper links to a Quanta page where you can answer it online and have it marked against the published scheme.

Are these Cambridge's official topics?

The topics are Cambridge’s — the numbered topics of the 9709 syllabus. Which question tests which topic is Quanta’s reading of each question and its mark scheme; Cambridge does not publish that.

Which 9709 topic has the most questions?

Arc length and sector area: 44 question parts on 42 of 42 papers, 8.9% of the marks. Stationary points and sketching is next.