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2022

Cambridge A Level ยท 9709 ยท Paper 1 ยท Pure Mathematics 1

Mathematics 9709/12 Oct/Nov 2022 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, Oct/Nov 2022: the question paper and its official mark scheme, 11 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
11
Marks
75
Grade A from
61
Open the question paperMark scheme

File names: 9709_w22_qp_12 ยท 9709_w22_ms_12

Grade thresholds for 9709/12 Oct/Nov 2022

The minimum raw marks Cambridge set for each grade on this component (out of 75). Thresholds change every session and variant, so always compare your score with the paper you actually sat.

ABCDE
6154422916

Topics in this paper

Which syllabus chapters 9709/12 Oct/Nov 2022 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure219
Trigonometry216
Coordinate Geometry213
Sequences29
Differentiation18
Quadratics15
Functions15

Questions in 9709/12 Oct/Nov 2022

  1. Question 1Coordinate Geometry ยท 6 marks

    Points A and B have coordinates 5, 2 and 10, โˆ’1 respectively. (a) Find the equation of the perpendicular bisector of AB. (b) Find the equation of the circle with centre A which passes through B.

  2. Question 2Sequences ยท 5 marks

    The ๏ฌrst, second and third terms of an arithmetic progression are a, 2a and a2 respectively, where a is a positive constant. Find the sum of the ๏ฌrst 50 terms of the progression.

  3. Question 3Quadratics ยท 5 marks

    (a) Find the set of values of k for which the equation 8x2 + kx โ€ฆ

  4. Question 4Sequences ยท 4 marks

    A geometric progression is such that the third term is 1764 and the sum of the second and third terms is 3444. Find the 50th term.

  5. Question 5Functions ยท 5 marks

    The graph with equation y = fx is transformed to the graph with equation y = gx by a stretch in the x-direction with factor 0.5, followed by a translation of โ€ฆ

  6. Question 6Trigonometry ยท 9 marks
  7. Question 7Trigonometry ยท 7 marks

    (a) Prove the identity sin 1 sin 1 + cos 1 + cos 1 sin 1 โˆ’cos 1 ย tan21 + 1 tan21 โˆ’1. (b) Hence ๏ฌnd the exact solutions of the equation sin 1 sin 1 + cos 1 โ€ฆ

  8. Question 8Coordinate Geometry ยท 7 marks

    The equation of a curve is such that dy dx โ€ฆ

  9. Question 9Differentiation ยท 8 marks

    Functions f and g are de๏ฌned by fx โ€ฆ

  10. Question 10Circular Measure ยท 8 marks
  11. Question 11Circular Measure ยท 11 marks

    (a) Find the coordinates of the minimum point of the curve โ€ฆ

Other Mathematics papers from Oct/Nov 2022

Questions students ask

Where can I get the 9709/12 Oct/Nov 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w22_ms_12), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/12 Oct/Nov 2022?
61 marks out of 75, a C needed 42.
Which topics came up in 9709/12 Oct/Nov 2022?
Mostly Circular Measure, Trigonometry, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/12 Oct/Nov 2022?
No. Every paper opens for free without signing in. A free account also saves your pen marks and records your score against the grade thresholds.