Complex Numbers: A Level Past Paper Questions for Cambridge (9709)

Studying for your international maths A level?

On this page you'll find plenty of questions on complex numbers from Cambridge A level Pure 3 past papers.

Students must understand the definition of complex numbers, identify their real and imaginary parts, and work with the modulus, argument, and conjugate.

They should be able to perform arithmetic operations on complex numbers in Cartesian and polar forms, use the fact that non-real roots of polynomials occur in conjugate pairs, and represent complex numbers on an Argand diagram.

Other key skills include finding square roots of complex numbers, understanding their geometrical transformations, and illustrating equations and inequalities using loci in an Argand diagram.