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2019

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

Mathematics 9709/12 Oct/Nov 2019 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, Oct/Nov 2019: 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
66
Open the question paperMark scheme

File names: 9709_w19_qp_12 ยท 9709_w19_ms_12

Grade thresholds for 9709/12 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
6661483523

Topics in this paper

Which syllabus chapters 9709/12 Oct/Nov 2019 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation219
Coordinate Geometry213
Trigonometry112
Sequences19
Circular Measure17
Functions17
Binomial14
Integration14

Questions in 9709/12 Oct/Nov 2019

  1. Question 1Binomial ยท 4 marks

    The coe๏ฌƒcient of x2 in the expansion of 4 + ax โ€ฆ

  2. Question 2Coordinate Geometry ยท 4 marks

    The point M is the mid-point of the line joining the points 3, 7 and โˆ’1, 1. Find the equation of the line through M which is parallel to the line โ€ฆ

  3. Question 3Integration ยท 4 marks
  4. Question 4Circular Measure ยท 7 marks

    O A B T r cm 21 rad The diagram shows a circle with centre O and radius r cm. Points A and B lie on the circle and angle AOB = 21 radians. The tangents to the circle at โ€ฆ

  5. Question 5Differentiation ยท 7 marks

    15 cm h cm The diagram shows a solid cone which has a slant height of 15 cm and a vertical height of h cm. (i) Show that the volume, V cm3, of the cone is given by โ€ฆ

  6. Question 6Functions ยท 7 marks

    (a) Given that x > 0, ๏ฌnd the two smallest values of x, in radians, for which 3 tan2x โ€ฆ

  7. Question 7Coordinate Geometry ยท 9 marks
  8. Question 8Sequences ยท 9 marks

    (a) Over a 21-day period an athlete prepares for a marathon by increasing the distance she runs each day by 1.2 km. On the ๏ฌrst day she runs 13 km. (i) Find the distance she runs on the last day โ€ฆ

  9. Question 9Trigonometry ยท 12 marks

    Functions f and g are de๏ฌned by fx โ€ฆ

  10. Question 10Differentiation ยท 12 marks

Other Mathematics papers from Oct/Nov 2019

Questions students ask

Where can I get the 9709/12 Oct/Nov 2019 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w19_ms_12), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/12 Oct/Nov 2019?
66 marks out of 75, a C needed 48.
Which topics came up in 9709/12 Oct/Nov 2019?
Mostly Differentiation, Coordinate Geometry, Trigonometry. The full list is in the table above.
Do I need an account to open 9709/12 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.