Loci in the Argand diagram past paper questions

Pure Maths 3 9709 · Complex numbers. Sketch loci such as |z - a| < k, |z - a| = |z - b| and arg(z - a) = alpha, and shade regions.

In Cambridge A Level Pure Maths 3 9709, Loci in the Argand diagram came up in 30 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, Cartesian form and arithmetic, Complex roots of polynomials.

30 questions, newest first

9709/31/O/N/25 Question 5 part (a) · 3 marks
9709/32/O/N/25 Question 3 · 5 marks
9709/33/O/N/25 Question 4 · 5 marks
9709/32/M/J/25 Question 3 · 5 marks
9709/32/F/M/25 Question 3 · 6 marks
9709/31/O/N/24 Question 8 parts (c) (d) · 4 marks
9709/33/O/N/24 Question 1 · 4 marks
9709/31/M/J/24 Question 7 · 6 marks
9709/33/M/J/24 Question 6 part (a) · 5 marks
9709/32/F/M/24 Question 5 · 6 marks
9709/31/O/N/23 Question 2 · 4 marks
9709/32/O/N/23 Question 4 · 6 marks
9709/33/O/N/23 Question 2 · 5 marks
9709/32/M/J/23 Question 3 · 4 marks
9709/33/M/J/23 Question 3 · 4 marks
9709/32/F/M/23 Question 2 · 5 marks
9709/31/O/N/22 Question 2 · 4 marks
9709/33/O/N/22 Question 5 part (a) · 4 marks
9709/32/M/J/22 Question 10 parts (c) (d) · 4 marks
9709/32/F/M/22 Question 2 · 4 marks
9709/31/O/N/21 Question 10 parts (d(i)) (d(ii)) · 5 marks
9709/32/O/N/21 Question 5 · 7 marks
9709/33/O/N/21 Question 11 parts (c(i)) (c(ii)) · 6 marks
9709/32/M/J/21 Question 2 · 4 marks
9709/31/O/N/20 Question 2 · 4 marks
9709/33/O/N/20 Question 2 · 4 marks
9709/31/M/J/20 Question 10 part (b(i)) · 4 marks
9709/32/M/J/20 Question 8 parts (b(i)) (b(ii)) · 6 marks
9709/33/M/J/20 Question 9 part (b) · 5 marks
9709/32/F/M/20 Question 10 parts (b(i)) (b(ii)) · 4 marks

More in Complex numbers: Cartesian form and arithmetic, Complex roots of polynomials, Modulus, argument and polar form.

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