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Modulus, argument and polar form past paper questions

Pure Maths 3 9709 · Complex numbers. Modulus and argument, polar and exponential form re^(itheta), multiplication and division in polar form, Argand diagram and geometrical effects.

In Cambridge A Level Pure Maths 3 9709, Modulus, argument and polar form came up in 21 of the 42 papers on Paperstreak, for about 5 marks a paper when it does. It last came up in October/November 2025.

Often set with Cartesian form and arithmetic, Loci in the Argand diagram.

21 questions, newest first

1. 9709/31/O/N/25 Question 5 part (b) · 3 marks
2. 9709/31/M/J/25 Question 6 · 6 marks
3. 9709/33/M/J/25 Question 4 part (a) · 3 marks
4. 9709/32/O/N/24 Question 5 · 4 marks
5. 9709/31/M/J/24 Question 4 · 4 marks
6. 9709/32/M/J/24 Question 9 parts (b) (c) (d) · 9 marks
7. 9709/33/M/J/24 Question 6 part (b) · 2 marks
8. 9709/32/F/M/24 Question 3 · 6 marks
9. 9709/31/O/N/23 Question 4 part (b) · 2 marks
10. 9709/32/M/J/23 Question 5 part (b) · 3 marks
11. 9709/33/M/J/23 Question 11 · 9 marks
12. 9709/31/O/N/22 Question 5 · 4 marks
13. 9709/32/O/N/22 Question 5 parts (b) (c) (d) · 5 marks
14. 9709/33/O/N/22 Question 5 part (b) · 2 marks
15. 9709/31/M/J/22 Question 7 parts (b) (c) · 5 marks
16. 9709/33/M/J/22 Question 5 parts (a) (c) · 5 marks
17. 9709/33/O/N/21 Question 11 parts (a) (b) · 4 marks
18. 9709/31/M/J/21 Question 5 part (c) · 3 marks
19. 9709/32/F/M/21 Question 8 parts (b) (c) (d) · 6 marks
20. 9709/32/O/N/20 Question 6 parts (b) (c) · 5 marks
21. 9709/31/M/J/20 Question 10 parts (a(ii)) (b(ii)) · 5 marks

More in Complex numbers: Cartesian form and arithmetic, Complex roots of polynomials, Loci in the Argand diagram.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.