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2020

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

Mathematics 9709/13 May/June 2020 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, May/June 2020: the question paper and its official mark scheme, 11 questions worth 75 marks. Free to open, no account needed.

Questions
11
Marks
75
Open the question paperMark scheme

File names: 9709_s20_qp_13 ยท 9709_s20_ms_13

Topics in this paper

Which syllabus chapters 9709/13 May/June 2020 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation218
Functions213
Sequences19
Coordinate Geometry19
Trigonometry18
Circular Measure16
Quadratics14
Integration14
Binomial14

Questions in 9709/13 May/June 2020

  1. Question 1Quadratics ยท 4 marks

    Find the set of values of m for which the line with equation y = mx + 1 and the curve with equation โ€ฆ

  2. Question 2Integration ยท 4 marks

    The equation of a curve is such that dy dx โ€ฆ

  3. Question 3Functions ยท 4 marks

    In each of parts (a), (b) and (c), the graph shown with solid lines has equation y = fx. The graph shown with broken lines is a transformation of y = fx. โ€ฆ

  4. Question 4Binomial ยท 4 marks

    (a) Expand 1 + a5 in ascending powers of a up to and including the term in a3. (b) Hence expand โ€ฆ

  5. Question 5Circular Measure ยท 6 marks

    A B O P 5 13 The diagram shows a cord going around a pulley and a pin. The pulley is modelled as a circle with centre O and radius 5 cm. The thickness of the cord and the size โ€ฆ

  6. Question 6Differentiation ยท 7 marks

    A point P is moving along a curve in such a way that the x-coordinate of P is increasing at a constant rate of 2 units per minute. The equation of the curve is โ€ฆ

  7. Question 7Trigonometry ยท 8 marks
  8. Question 8Sequences ยท 9 marks

    The ๏ฌrst term of a progression is sin2 1, where โ€ฆ

  9. Question 9Functions ยท 9 marks

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

  10. Question 10Coordinate Geometry ยท 9 marks

    (a) The coordinates of two points A and B are โˆ’7, 3 and 5, 11 respectively. Show that the equation of the perpendicular bisector of AB is โ€ฆ

  11. Question 11Differentiation ยท 11 marks

Other Mathematics papers from May/June 2020

Questions students ask

Where can I get the 9709/13 May/June 2020 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s20_ms_13), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/13 May/June 2020?
Mostly Differentiation, Functions, Sequences. The full list is in the table above.
Do I need an account to open 9709/13 May/June 2020?
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.