PrepWithTee owl logo PrepWithTee
2021

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

Mathematics 9709/13 Oct/Nov 2021 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, Oct/Nov 2021: the question paper and its official mark scheme, 10 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
52
Open the question paperMark scheme

File names: 9709_w21_qp_13 ยท 9709_w21_ms_13

Grade thresholds for 9709/13 Oct/Nov 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
5243342515

Topics in this paper

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

ChapterQuestionsMarks
Differentiation326
Coordinate Geometry219
Functions212
Trigonometry18
Binomial15
Sequences15

Questions in 9709/13 Oct/Nov 2021

  1. Question 1Functions ยท 4 marks

    The graph of y = fx is transformed to the graph of โ€ฆ

  2. Question 2Binomial ยท 5 marks

    (a) Find the ๏ฌrst three terms, in ascending powers of x, in the expansion of 1 + ax6. (b) Given that the coe๏ฌƒcient of x2 in the expansion of โ€ฆ

  3. Question 3Differentiation ยท 5 marks

    (a) Express 5y2 โˆ’30y + 50 in the form โ€ฆ

  4. Question 4Sequences ยท 5 marks

    The ๏ฌrst term of an arithmetic progression is 84 and the common di๏ฌ€erence is โˆ’3. (a) Find the smallest value of n for which the nth term is negative. It is given that the sum of the ๏ฌrst 2k terms โ€ฆ

  5. Question 5Coordinate Geometry ยท 7 marks

    A B C X Y 11 cm 9 cm In the diagram, X and Y are points on the line AB such that BX = 9 cm and AY = 11 cm. Arc BC is part of a circle with โ€ฆ

  6. Question 6Functions ยท 8 marks

    x y O y = fx The diagram shows the graph of y = fx. (a) On this diagram sketch the graph of โ€ฆ

  7. Question 7Trigonometry ยท 8 marks

    (a) Show that the equation tan x + cosx tan x โˆ’cosx = k, where k is a constant, can be expressed as โ€ฆ

  8. Question 8Differentiation ยท 10 marks
  9. Question 9Coordinate Geometry ยท 12 marks
  10. Question 10Differentiation ยท 11 marks

    A curve has equation y = fx and it is given that โ€ฆ

Other Mathematics papers from Oct/Nov 2021

Questions students ask

Where can I get the 9709/13 Oct/Nov 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w21_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 Oct/Nov 2021?
52 marks out of 75, a C needed 34.
Which topics came up in 9709/13 Oct/Nov 2021?
Mostly Differentiation, Coordinate Geometry, Functions. The full list is in the table above.
Do I need an account to open 9709/13 Oct/Nov 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.