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2021

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

Mathematics 9709/11 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, May/June 2021: 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_s21_qp_11 ยท 9709_s21_ms_11

Grade thresholds for 9709/11 May/June 2021

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
4941322313

Topics in this paper

Which syllabus chapters 9709/11 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation219
Coordinate Geometry212
Functions111
Circular Measure110
Sequences29
Trigonometry28
Binomial16

Questions in 9709/11 May/June 2021

  1. Question 1Coordinate Geometry ยท 4 marks

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

  2. Question 2Sequences ยท 5 marks

    The sum of the ๏ฌrst 20 terms of an arithmetic progression is 405 and the sum of the ๏ฌrst 40 terms is 1410. Find the 60th term of the progression.

  3. Question 3Binomial ยท 6 marks

    (a) Find the ๏ฌrst three terms in the expansion of 3 โˆ’2x5 in ascending powers of x. (b) Hence ๏ฌnd the coe๏ฌƒcient of x2 in the expansion of โ€ฆ

  4. Question 4Trigonometry ยท 3 marks
  5. Question 5Sequences ยท 4 marks

    The ๏ฌfth, sixth and seventh terms of a geometric progression are 8k, โˆ’12 and 2k respectively. Given that k is negative, ๏ฌnd the sum to in๏ฌnity of the progression.

  6. Question 6Differentiation ยท 5 marks
  7. Question 7Trigonometry ยท 5 marks

    (a) Prove the identity 1 โˆ’2 sin21 1 โˆ’sin21 ย 1 โˆ’tan21. (b) Hence solve the equation 1 โˆ’2 sin21 1 โˆ’sin21 = 2 tan41 for โ€ฆ

  8. Question 8Circular Measure ยท 10 marks

    C P Q R S The diagram shows a symmetrical metal plate. The plate is made by removing two identical pieces from a circular disc with centre C. The boundary of the plate consists of two arcs PS and QR โ€ฆ

  9. Question 9Functions ยท 11 marks

    Functions f and g are de๏ฌned as follows: fx โ€ฆ

  10. Question 10Coordinate Geometry ยท 8 marks
  11. Question 11Differentiation ยท 14 marks

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/11 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_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 2021?
49 marks out of 75, a C needed 32.
Which topics came up in 9709/11 May/June 2021?
Mostly Differentiation, Coordinate Geometry, Functions. The full list is in the table above.
Do I need an account to open 9709/11 May/June 2021?
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.