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2023

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

Mathematics 9709/11 Oct/Nov 2023 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, Oct/Nov 2023: 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_w23_qp_11 ยท 9709_w23_ms_11

Grade thresholds for 9709/11 Oct/Nov 2023

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
5544342414

Topics in this paper

Which syllabus chapters 9709/11 Oct/Nov 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure216
Functions215
Differentiation214
Coordinate Geometry19
Sequences17
Trigonometry16
Binomial14
Quadratics14

Questions in 9709/11 Oct/Nov 2023

  1. Question 1Binomial ยท 4 marks

    (a) Expand 1 + 3x6 in ascending powers of x up to, and including, the term in x2. (b) Hence ๏ฌnd the coe๏ฌƒcient of x2 in the expansion of โ€ฆ

  2. Question 2Quadratics ยท 4 marks

    A line has equation y = 2cx + 3 and a curve has equation y = cx2 โ€ฆ

  3. Question 3Differentiation ยท 3 marks

    x x x The diagram shows a cubical closed container made of a thin elastic material which is ๏ฌlled with water and frozen. During the freezing process the length, xcm, of each edge of the container increases at the constant โ€ฆ

  4. Question 4Functions ยท 6 marks

    The transformation R denotes a re๏ฌ‚ection in the x-axis and the transformation T denotes a translation of โ€ฆ

  5. Question 5Trigonometry ยท 6 marks

    (a) Show that the equation 4 sin โ€ฆ

  6. Question 6Circular Measure ยท 7 marks

    A B C O r r The diagram shows a motif formed by the major arc AB of a circle with radius r and centre O, and the minor arc AOB of a circle, also with radius r but with โ€ฆ

  7. Question 7Sequences ยท 7 marks

    The sum of the ๏ฌrst two terms of a geometric progression is 15 and the sum to in๏ฌnity is โ€ฆ

  8. Question 8Circular Measure ยท 9 marks
  9. Question 9Functions ยท 9 marks

    (a) Express 4x2 โˆ’12x + 13 in the form โ€ฆ

  10. Question 10Differentiation ยท 11 marks

    A curve has a stationary point at 2, โˆ’10 and is such that d2y dx2 โ€ฆ

  11. Question 11Coordinate Geometry ยท 9 marks

Other Mathematics papers from Oct/Nov 2023

Questions students ask

Where can I get the 9709/11 Oct/Nov 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w23_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 Oct/Nov 2023?
55 marks out of 75, a C needed 34.
Which topics came up in 9709/11 Oct/Nov 2023?
Mostly Circular Measure, Functions, Differentiation. The full list is in the table above.
Do I need an account to open 9709/11 Oct/Nov 2023?
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.