PrepWithTee owl logo PrepWithTee
2023

Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3

Mathematics 9709/32 Feb/March 2023 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Feb/March 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
58
Open the question paperMark scheme

File names: 9709_m23_qp_32 ยท 9709_m23_ms_32

Grade thresholds for 9709/32 Feb/March 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
5851423324

Topics in this paper

Which syllabus chapters 9709/32 Feb/March 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry213
Indices, Surds and Logs212
Complex Numbers210
Partial Fractions110
Iteration19
Vectors19
Linear Law17
Polynomials15

Questions in 9709/32 Feb/March 2023

  1. Question 1Indices, Surds and Logs ยท 3 marks

    It is given that x = ln2y โˆ’3 โˆ’lny + 4. Express y in terms of x.

  2. Question 2Complex Numbers ยท 5 marks

    (a) On an Argand diagram, shade the region whose points represent complex numbers z satisfying the inequalities โˆ’1 3ฯ€ โ‰คargz โ€ฆ

  3. Question 3Polynomials ยท 5 marks

    The polynomial 2x4 + ax3 + bx โˆ’1, where a and b are constants, is denoted by px. When px is divided by โ€ฆ

  4. Question 4Complex Numbers ยท 5 marks
  5. Question 5Trigonometry ยท 6 marks

    The parametric equations of a curve are x = te2t, โ€ฆ

  6. Question 6Trigonometry ยท 7 marks
  7. Question 7Iteration ยท 9 marks

    x rad O A B r The diagram shows a circle with centre O and radius r. The angle of the minor sector AOB of the circle is x radians. The area of the major sector of the circle is โ€ฆ

  8. Question 8Indices, Surds and Logs ยท 9 marks

    x y O 1 2 M The diagram shows the curve โ€ฆ

  9. Question 9Linear Law ยท 7 marks

    The variables x and y satisfy the di๏ฌ€erential equation dy dx = e3y sin2 2x. It is given that โ€ฆ

  10. Question 10Vectors ยท 9 marks

    With respect to the origin O, the points โ€ฆ

  11. Question 11Partial Fractions ยท 10 marks

Other Mathematics papers from Feb/March 2023

Questions students ask

Where can I get the 9709/32 Feb/March 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_m23_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 Feb/March 2023?
58 marks out of 75, a C needed 42.
Which topics came up in 9709/32 Feb/March 2023?
Mostly Trigonometry, Indices, Surds and Logs, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/32 Feb/March 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.