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2021

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

Mathematics 9709/33 Oct/Nov 2021 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2021: 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
52
Open the question paperMark scheme

File names: 9709_w21_qp_33 ยท 9709_w21_ms_33

Grade thresholds for 9709/33 Oct/Nov 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
5244362819

Topics in this paper

Which syllabus chapters 9709/33 Oct/Nov 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry217
Differential Equations111
Complex Numbers110
Vectors19
Differentiation17
Integration15
Trigonometry15
Graphs14
Indices, Surds and Logs14
Polynomials13

Questions in 9709/33 Oct/Nov 2021

  1. Question 1Polynomials ยท 3 marks

    Find the quotient and remainder when โ€ฆ

  2. Question 2Graphs ยท 4 marks
  3. Question 3Indices, Surds and Logs ยท 4 marks
  4. Question 4Integration ยท 5 marks
  5. Question 5Trigonometry ยท 5 marks
  6. Question 6Trigonometry ยท 7 marks

    (a) By ๏ฌrst expanding cosx โˆ’60ร…, show that the expression 2 cosx โˆ’60ร… + cosx can be written in the form R cosx โˆ’!, where โ€ฆ

  7. Question 7Differentiation ยท 7 marks

    The equation of a curve is lnx โ€ฆ

  8. Question 8Vectors ยท 9 marks
  9. Question 9Trigonometry ยท 10 marks
  10. Question 10Differential Equations ยท 11 marks

    A large plantation of area 20 km2 is becoming infected with a plant disease. At time t years the area infected is x km2 and the rate of increase of x is proportional to the ratio of the area infected โ€ฆ

  11. Question 11Complex Numbers ยท 10 marks

Other Mathematics papers from Oct/Nov 2021

Questions students ask

Where can I get the 9709/33 Oct/Nov 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w21_ms_33), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/33 Oct/Nov 2021?
52 marks out of 75, a C needed 36.
Which topics came up in 9709/33 Oct/Nov 2021?
Mostly Trigonometry, Differential Equations, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/33 Oct/Nov 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.