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Cartesian form and arithmetic past paper questions

Pure Maths 3 9709 · Complex numbers. Real and imaginary parts, conjugate, equality; add, subtract, multiply and divide in the form x + iy; square roots of a complex number.

In Cambridge A Level Pure Maths 3 9709, Cartesian form and arithmetic came up in 32 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 Modulus, argument and polar form, Loci in the Argand diagram.

32 questions, newest first

  1. 9709/31/O/N/25 Question 6 · 5 marks
  2. 9709/33/O/N/25 Question 7 · 6 marks
  3. 9709/31/M/J/25 Question 3 · 6 marks
  4. 9709/32/M/J/25 Question 5 · 5 marks
  5. 9709/33/M/J/25 Question 6 · 6 marks
  6. 9709/32/F/M/25 Question 5 · 5 marks
  7. 9709/31/O/N/24 Question 8 parts (a) (b) · 5 marks
  8. 9709/32/O/N/24 Question 3 · 5 marks
  9. 9709/33/O/N/24 Question 4 · 5 marks
  10. 9709/32/M/J/24 Question 9 part (a) · 1 mark
  11. 9709/33/M/J/24 Question 3 · 5 marks
  12. 9709/31/O/N/23 Question 4 part (a) · 3 marks
  13. 9709/32/O/N/23 Question 8 · 7 marks
  14. 9709/33/O/N/23 Question 4 · 5 marks
  15. 9709/31/M/J/23 Question 10 parts (b) (c) · 10 marks
  16. 9709/32/M/J/23 Question 5 part (a) · 3 marks
  17. 9709/32/F/M/23 Question 4 · 5 marks
  18. 9709/32/O/N/22 Question 5 part (a) · 3 marks
  19. 9709/33/O/N/22 Question 6 · 6 marks
  20. 9709/31/M/J/22 Question 7 part (a) · 3 marks
  21. 9709/33/M/J/22 Question 5 part (b) · 3 marks
  22. 9709/32/F/M/22 Question 6 · 6 marks
  23. 9709/32/O/N/21 Question 3 · 6 marks
  24. 9709/31/M/J/21 Question 5 parts (a) (b) · 4 marks
  25. 9709/32/M/J/21 Question 5 · 5 marks
  26. 9709/33/M/J/21 Question 10 part (a) · 3 marks
  27. 9709/32/F/M/21 Question 8 part (a) · 3 marks
  28. 9709/32/O/N/20 Question 6 part (a) · 3 marks
  29. 9709/31/M/J/20 Question 10 part (a(i)) · 3 marks
  30. 9709/32/M/J/20 Question 8 part (a) · 4 marks
  31. 9709/33/M/J/20 Question 9 part (a) · 5 marks
  32. 9709/32/F/M/20 Question 10 part (a) · 6 marks

More in Complex numbers: Complex roots of polynomials, Modulus, argument and polar form, Loci in the Argand diagram.

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