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2019

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

Mathematics 9709/13 Oct/Nov 2019 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, Oct/Nov 2019: 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
63
Open the question paperMark scheme

File names: 9709_w19_qp_13 ยท 9709_w19_ms_13

Grade thresholds for 9709/13 Oct/Nov 2019

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
6356463627

Topics in this paper

Which syllabus chapters 9709/13 Oct/Nov 2019 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation429
Functions213
Coordinate Geometry19
Sequences18
Trigonometry17
Circular Measure15
Binomial14

Questions in 9709/13 Oct/Nov 2019

  1. Question 1Binomial ยท 4 marks

    (i) Expand 1 + y6 in ascending powers of y as far as the term in y2. (ii) In the expansion of 1 + px โˆ’2x26 the coe๏ฌƒcient of x2 is 48. Find the value of the positive constant p.

  2. Question 2Functions ยท 5 marks

    The function g is de๏ฌned by gx โ€ฆ

  3. Question 3Differentiation ยท 4 marks
  4. Question 4Circular Measure ยท 5 marks

    O A B C r r The diagram shows a semicircle ACB with centre O and radius r. Arc OC is part of a circle with centre A. (i) Express angle CAO in radians in terms of 0. (ii) Find โ€ฆ

  5. Question 5Differentiation ยท 7 marks

    x cm 2x cm 4x cm The dimensions of a cuboid are x cm, 2x cm and 4x cm, as shown in the diagram. (i) Show that the surface area S cm2 and the volume V cm3 are connected by โ€ฆ

  6. Question 6Differentiation ยท 7 marks

    A line has equation y = 3kx โˆ’2k and a curve has equation โ€ฆ

  7. Question 7Trigonometry ยท 7 marks

    (i) Show that the equation 3 cos41 + 4 sin21 โ€ฆ

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

    The ๏ฌrst, second and third terms of a geometric progression are โ€ฆ

  10. Question 10Coordinate Geometry ยท 9 marks

    Relative to an origin O, the position vectors of the points A, B and X are given by โˆ’โˆ’โ†’ OA โ€ฆ

  11. Question 11Differentiation ยท 11 marks

Other Mathematics papers from Oct/Nov 2019

Questions students ask

Where can I get the 9709/13 Oct/Nov 2019 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w19_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 2019?
63 marks out of 75, a C needed 46.
Which topics came up in 9709/13 Oct/Nov 2019?
Mostly Differentiation, Functions, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/13 Oct/Nov 2019?
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.