2018

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

Mathematics 9709/11 May/June 2018 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, May/June 2018: 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
62

File names: 9709_s18_qp_11 ยท 9709_s18_ms_11

Grade thresholds for 9709/11 May/June 2018

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
6254443424

Topics in this paper

Which syllabus chapters 9709/11 May/June 2018 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation216
Coordinate Geometry215
Functions111
Sequences19
Circular Measure17
Integration16
Trigonometry16
Binomial15

Questions in 9709/11 May/June 2018

  1. Question 1Binomial ยท 5 marks

    (i) Find the ๏ฌrst three terms in the expansion, in ascending powers of x, of 1 โˆ’2x5. (ii) Given that the coe๏ฌƒcient of x2 in the expansion of 1 + ax โ€ฆ

  2. Question 2Differentiation ยท 4 marks

    A point is moving along the curve โ€ฆ

  3. Question 3Integration ยท 6 marks
  4. Question 4Trigonometry ยท 6 marks

    (i) Prove the identity sin 1 + cos 11 โˆ’sin 1 cos 1 ย sin31 + cos31. (ii) Hence solve the equation sin 1 + cos 11 โˆ’sin 1 cos โ€ฆ

  5. Question 5Coordinate Geometry ยท 7 marks
  6. Question 6Circular Measure ยท 7 marks

    O A T B r cm 1 rad The diagram shows a circle with centre O and radius r cm. The points A and B lie on the circle and AT is a tangent to the circle. Angle AOB = โ€ฆ

  7. Question 7Coordinate Geometry ยท 8 marks

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

  8. Question 8Sequences ยท 9 marks

    (a) A geometric progression has a second term of 12 and a sum to in๏ฌnity of 54. Find the possible values of the ๏ฌrst term of the progression. (b) The nth term of a progression is p + qn, where โ€ฆ

  9. Question 9Functions ยท 11 marks

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

  10. Question 10Differentiation ยท 12 marks

Other Mathematics papers from May/June 2018

Questions students ask

Where can I get the 9709/11 May/June 2018 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s18_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 2018?
62 marks out of 75, a C needed 44.
Which topics came up in 9709/11 May/June 2018?
Mostly Differentiation, Coordinate Geometry, Functions. The full list is in the table above.
Do I need an account to open 9709/11 May/June 2018?
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.