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2021

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

Mathematics 9709/13 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, 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
55
Open the question paperMark scheme

File names: 9709_s21_qp_13 ยท 9709_s21_ms_13

Grade thresholds for 9709/13 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
5546372818

Topics in this paper

Which syllabus chapters 9709/13 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure217
Coordinate Geometry213
Functions213
Differentiation210
Sequences19
Binomial17
Trigonometry16

Questions in 9709/13 May/June 2021

  1. Question 1Coordinate Geometry ยท 3 marks

    A curve with equation y = fx is such that โ€ฆ

  2. Question 2Differentiation ยท 4 marks

    The function f is de๏ฌned by fx โ€ฆ

  3. Question 3Differentiation ยท 6 marks

    A line with equation y = mx โˆ’6 is a tangent to the curve with equation โ€ฆ

  4. Question 4Trigonometry ยท 6 marks

    (a) Show that the equation tan x + sin x tan x โˆ’sin โ€ฆ

  5. Question 5Circular Measure ยท 6 marks

    A B C D 4 cm The diagram shows a triangle ABC, in which angle ABC = 90ร… and AB = 4 cm. The sector ABD is part of a circle with centre A. The area of the sector is โ€ฆ

  6. Question 6Functions ยท 6 marks

    Functions f and g are both de๏ฌned for x โˆˆ> and are given by fx โ€ฆ

  7. Question 7Binomial ยท 7 marks

    (a) Write down the ๏ฌrst four terms of the expansion, in ascending powers of x, of โ€ฆ

  8. Question 8Functions ยท 7 marks

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

  9. Question 9Sequences ยท 9 marks

    (a) A geometric progression is such that the second term is equal to 24% of the sum to in๏ฌnity. Find the possible values of the common ratio. (b) An arithmetic progression P has ๏ฌrst term a and common di๏ฌ€erence d. โ€ฆ

  10. Question 10Coordinate Geometry ยท 10 marks
  11. Question 11Circular Measure ยท 11 marks

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/13 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_ms_13), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/13 May/June 2021?
55 marks out of 75, a C needed 37.
Which topics came up in 9709/13 May/June 2021?
Mostly Circular Measure, Coordinate Geometry, Functions. The full list is in the table above.
Do I need an account to open 9709/13 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.