A Level Further Maths

A Level Further Maths Complex Numbers Exam Questions

Free A Level Further Maths exam questions on Complex Numbers, with full model answers. Covers arithmetic & Argand, modulus-argument, loci.

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 Further Maths Complex Numbers

Complex Numbers is part of Pure Maths in A Level Further Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further 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

  • Forms Cartesian, modulus-argument and exponential.
  • De Moivre (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ.
  • Roots nth roots of unity and loci.

Common mistakes in Complex Numbers

  • Wrong argument range.
  • Forgetting conjugate roots.

Try two Complex Numbers exam-style questions

1. State the conjugate of 3 − 2i. (1 mark)

Show the mark scheme answer

3 + 2i

2. How many cube roots does any non-zero number have? (1 mark)

Show the mark scheme answer

3

Complex Numbers FAQs

Which exam boards include Complex Numbers?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further 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.