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.