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ZIMSEC A-Level Pure Mathematics

6.7.1Complex numbers: parts, operations and the Argand diagram

Complex numbers: parts, operations and the Argand diagram in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic40 practice questions2 lessons
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Overview

Form 5.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.7.1.1Form 5: find the conjugate, modulus and argument of a complex number.
  2. 6.7.1.2Form 5: add, subtract, multiply and divide complex numbers.
  3. 6.7.1.3Form 5: represent complex numbers on an Argand diagram.
  4. 6.7.1.4Form 5: interpret the geometric effects of conjugating, adding, subtracting, multiplying and dividing complex numbers.

Lessons

  • Complex numbers in Cartesian form

    45 min

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  • The Argand diagram, modulus–argument and polar form

    50 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Complex numbers: parts, operations and the Argand diagram: sample question

1 mark

What is the principal argument of −1−i-1 - \mathrm{i}?

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