1. Pure Mathematics 1

Complex Numbers — Quiz

Test your understanding of complex numbers with 5 practice questions.

Practice Questions

Question 1

Which expression gives the square of the modulus of a complex number $z$?

Question 2

Express $8e^{i7\pi/6}$ in the form $a+bi$.

Question 3

According to De Moivre's theorem, which identity holds for $\sin3\theta$?

Question 4

Solve the equation $z^4=16$ for all complex solutions.

Question 5

Compute $(1+i)^6$.