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2023

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

Mathematics 9709/11 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, May/June 2023: the question paper and its official mark scheme, 12 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
12
Marks
75
Grade A from
50
Open the question paperMark scheme

File names: 9709_s23_qp_11 ยท 9709_s23_ms_11

Grade thresholds for 9709/11 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
5043332314

Topics in this paper

Which syllabus chapters 9709/11 May/June 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation431
Functions212
Coordinate Geometry19
Trigonometry28
Binomial16
Sequences15
Circular Measure14

Questions in 9709/11 May/June 2023

  1. Question 1Trigonometry ยท 3 marks

    Solve the equation 4 sin 1 + tan โ€ฆ

  2. Question 2Binomial ยท 6 marks

    (a) Find the ๏ฌrst three terms in the expansion, in ascending powers of x, of โ€ฆ

  3. Question 3Functions ยท 4 marks
  4. Question 4Circular Measure ยท 4 marks

    1 A B C D 8 cm The diagram shows a sector ABC of a circle with centre A and radius 8cm. The area of the sector is 16 3 ฯ€cm2. The point D lies on the arc BC. Find โ€ฆ

  5. Question 5Differentiation ยท 5 marks

    The line with equation y = kx โˆ’k, where k is a positive constant, is a tangent to the curve with equation โ€ฆ

  6. Question 6Sequences ยท 5 marks

    The ๏ฌrst three terms of an arithmetic progression are โ€ฆ

  7. Question 7Trigonometry ยท 5 marks
  8. Question 8Functions ยท 8 marks

    The functions f and g are de๏ฌned as follows, where a and b are constants. fx โ€ฆ

  9. Question 9Differentiation ยท 6 marks

    Water is poured into a tank at a constant rate of 500cm3 per second. The depth of water in the tank, t seconds after ๏ฌlling starts, is hcm. When the depth of water in the tank is hcm, the volume, โ€ฆ

  10. Question 10Differentiation ยท 11 marks
  11. Question 11Differentiation ยท 9 marks

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

  12. Question 12Coordinate Geometry ยท 9 marks

    x y O P Q A The diagram shows a circle P with centre 0, 2 and radius 10 and the tangent to the circle at the point A with coordinates 6, 10. It also shows a second circle Q โ€ฆ

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/11 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_ms_11), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/11 May/June 2023?
50 marks out of 75, a C needed 33.
Which topics came up in 9709/11 May/June 2023?
Mostly Differentiation, Functions, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/11 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.