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2021

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

Mathematics 9709/12 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, May/June 2021: the question paper and its official mark scheme, 12 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
12
Marks
75
Grade A from
51
Open the question paperMark scheme

File names: 9709_s21_qp_12 ยท 9709_s21_ms_12

Grade thresholds for 9709/12 May/June 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
5142312110

Topics in this paper

Which syllabus chapters 9709/12 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure217
Coordinate Geometry313
Sequences213
Trigonometry213
Differentiation110
Functions15
Quadratics14

Questions in 9709/12 May/June 2021

  1. Question 1Quadratics ยท 4 marks

    (a) Express 16x2 โˆ’24x + 10 in the form โ€ฆ

  2. Question 2Functions ยท 5 marks

    (a) The graph of y = fx is transformed to the graph of y = 2fx โˆ’1. Describe fully the two single transformations which have been combined to give the resulting transformation. (b) The curve y = sin 2x โˆ’5x โ€ฆ

  3. Question 3Coordinate Geometry ยท 4 marks
  4. Question 4Sequences ยท 5 marks

    The coe๏ฌƒcient of x in the expansion of โ€ฆ

  5. Question 5Trigonometry ยท 6 marks

    The function f is de๏ฌned by fx โ€ฆ

  6. Question 6Coordinate Geometry ยท 4 marks

    Points A and B have coordinates 8, 3 and p, q respectively. The equation of the perpendicular bisector of AB is โ€ฆ

  7. Question 7Coordinate Geometry ยท 5 marks

    The point A has coordinates 1, 5 and the line l has gradient โˆ’2 3 and passes through A. A circle has centre 5, 11 and radius 52. (a) Show that l is the tangent to the circle at A. โ€ฆ

  8. Question 8Sequences ยท 8 marks

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

  9. Question 9Circular Measure ยท 6 marks
  10. Question 10Trigonometry ยท 7 marks

    (a) Prove the identity 1 + sin x 1 โˆ’sin x โˆ’1 โˆ’sin โ€ฆ

  11. Question 11Differentiation ยท 10 marks

    The gradient of a curve is given by dy dx โ€ฆ

  12. Question 12Circular Measure ยท 11 marks

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/12 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_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 May/June 2021?
51 marks out of 75, a C needed 31.
Which topics came up in 9709/12 May/June 2021?
Mostly Circular Measure, Coordinate Geometry, Sequences. The full list is in the table above.
Do I need an account to open 9709/12 May/June 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.