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2023

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

Mathematics 9709/12 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, May/June 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
49
Open the question paperMark scheme

File names: 9709_s23_qp_12 ยท 9709_s23_ms_12

Grade thresholds for 9709/12 May/June 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
4940302010

Topics in this paper

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

ChapterQuestionsMarks
Coordinate Geometry216
Sequences212
Functions112
Trigonometry111
Circular Measure210
Differentiation18
Quadratics26

Questions in 9709/12 May/June 2023

  1. Question 1Coordinate Geometry ยท 3 marks

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

  2. Question 2Sequences ยท 4 marks

    The coe๏ฌƒcient of x4 in the expansion of โ€ฆ

  3. Question 3Quadratics ยท 3 marks

    (a) Express 4x2 โˆ’24x + p in the form ax โ€ฆ

  4. Question 4Quadratics ยท 3 marks
  5. Question 5Circular Measure ยท 4 marks
  6. Question 6Circular Measure ยท 6 marks
  7. Question 7Trigonometry ยท 11 marks

    (a) (i) By ๏ฌrst expanding cos 1 + sin 12, ๏ฌnd the three solutions of the equation cos 1 + sin โ€ฆ

  8. Question 8Functions ยท 12 marks
  9. Question 9Sequences ยท 8 marks

    The second term of a geometric progression is 16 and the sum to in๏ฌnity is 100. (a) Find the two possible values of the ๏ฌrst term. (b) Show that the nth term of one of the two possible geometric progressions โ€ฆ

  10. Question 10Coordinate Geometry ยท 13 marks
  11. Question 11Differentiation ยท 8 marks

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/12 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_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 May/June 2023?
49 marks out of 75, a C needed 30.
Which topics came up in 9709/12 May/June 2023?
Mostly Coordinate Geometry, Sequences, Functions. The full list is in the table above.
Do I need an account to open 9709/12 May/June 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.