Unit 1: Number and Algebra
Topic 1.12: Complex numbers: intro (HL only) Questions
Practice 11 exam-style questions for IB Math AI SL Topic 1.12. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
51 mark
2026
On an Argand diagram, the point (−2, 3) represents:
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2026
Given z₁ = 4 − 3i and z₂ = −1 + 2i, find z₁ + z₂ and z₁ − z₂.
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2026
Express (2 + 3i)² in the form a + bi.
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2026
Express (3 + i)/(1 − 2i) in the form a + bi.
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2026
z = 2 − 5i. Plot z on an Argand diagram and find |z|, giving the answer to 3 s.f.
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2026
A signal is z = (4 + 2i)(1 + 3i). Write z in the form a + bi and find its amplitude |z| to 3 s.f.
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