Unit 1: Number and Algebra
Topic 1.12: Complex numbers: Cartesian (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 1.12. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Find2 marks
2026
Let z = 6 − 2i. Write down z* and find z × z*.
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2026
Given (a + bi) = (2 + 3i) + (4 − i), state a and b.
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2026
Plot z₁ = 4 + 3i and z₂ = −1 − 2i on an Argand diagram and find |z₁|.
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2026
Let z₁ = 4 − 3i and z₂ = −2 + 5i. Find z₁ + z₂ and z₁ − z₂.
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2026
The point (0, −3) on an Argand diagram represents:
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2026
A complex number z has |z| = 5 and its real part is 3 (with a positive imaginary part). Find z.
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2026
Which complex number has the LARGEST modulus?
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2026
The distance between the points 2 + 3i and 5 − i on an Argand diagram is:
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2026
If z = a + bi and z = (1 − 2i)(2 + i), what is a?
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