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2023

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

Mathematics 9709/12 Oct/Nov 2023 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, Oct/Nov 2023: 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
55
Open the question paperMark scheme

File names: 9709_w23_qp_12 ยท 9709_w23_ms_12

Grade thresholds for 9709/12 Oct/Nov 2023

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
5546352413

Topics in this paper

Which syllabus chapters 9709/12 Oct/Nov 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Coordinate Geometry216
Circular Measure215
Differentiation215
Trigonometry211
Sequences210
Functions18

Questions in 9709/12 Oct/Nov 2023

  1. Question 1Sequences ยท 4 marks

    The coe๏ฌƒcient of x3 in the expansion of 3 + 2ax5 is six times the coe๏ฌƒcient of x2 in the expansion of 2 + ax6. Find the value of the constant a.

  2. Question 2Trigonometry ยท 2 marks

    Find the exact solution of the equation โ€ฆ

  3. Question 3Coordinate Geometry ยท 6 marks

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

  4. Question 4Circular Measure ยท 6 marks

    A B C 2 cm The diagram shows the shape of a coin. The three arcs AB, BC and CA are parts of circles with centres C, A and B respectively. ABC is an equilateral triangle with sides of length โ€ฆ

  5. Question 5Sequences ยท 6 marks

    The ๏ฌrst, second and third terms of a geometric progression are sin 1, cos 1 and 2 โˆ’sin 1 respectively, where 1 radians is an acute angle. (a) Find the value of 1. (b) Using this value of 1, ๏ฌnd โ€ฆ

  6. Question 6Differentiation ยท 8 marks
  7. Question 7Trigonometry ยท 9 marks
  8. Question 8Functions ยท 8 marks

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

  9. Question 9Circular Measure ยท 9 marks
  10. Question 10Differentiation ยท 7 marks

    The equation of a curve is y = fx, where fx โ€ฆ

  11. Question 11Coordinate Geometry ยท 10 marks

    The coordinates of points A, B and C are โ€ฆ

Other Mathematics papers from Oct/Nov 2023

Questions students ask

Where can I get the 9709/12 Oct/Nov 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w23_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 2023?
55 marks out of 75, a C needed 35.
Which topics came up in 9709/12 Oct/Nov 2023?
Mostly Coordinate Geometry, Circular Measure, Differentiation. The full list is in the table above.
Do I need an account to open 9709/12 Oct/Nov 2023?
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.