IB Maths AI HL AI 1.4 Complex numbers questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1 Paper 2

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Question 1

Paper 1Easy6 marks

A point $P$ on an Argand diagram is represented by $z=1+2i$

(a)

Write down the real part and the imaginary part of $z$

[2]

(b)

Write down the complex conjugate of $z$

[1]

(c)

Determine the distance of $P$ from the origin, in units.

[1]

(d)

Use your GDC to calculate $z^3$ giving your answer in Cartesian form.

[2]

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