A Level Maths

A Level Maths Complex Numbers Exam Questions

Free A Level Maths exam questions on Complex Numbers, with full model answers. Covers intro, arithmetic, Argand, modulus-argument, complex roots (incl. loci, square roots, polar form).

Complex Numbers exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Maths Complex Numbers

Complex Numbers is part of Pure Maths in A Level Maths. These questions suit Cambridge International A Level Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Form a + bi, i² = −1.
  • Operations Adding, multiplying and dividing using conjugates.
  • Argand diagrams Modulus and argument.

Common mistakes in Complex Numbers

  • Forgetting i² = −1.
  • Wrong argument quadrant.

Try two Complex Numbers exam-style questions

1. Find (2 + 3i)(1 − i). (2 marks)

Show the mark scheme answer

5 + i

2. Find (3 marks)

Show the mark scheme answer

.

Complex Numbers FAQs

Which exam boards include Complex Numbers?

These questions suit Cambridge International A Level Maths.

Is Complex Numbers pure, mechanics or statistics?

Complex Numbers is part of Pure Maths.

How should I use these Complex Numbers questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.