Study guide

H2 Maths Complex Numbers | Free Notes & Worked Examples

In one line

H2 Maths complex numbers notes: key formulas for Argand diagrams, modulus-argument form, loci, and step-by-step exam solutions.

Download printable cheat-sheet (CC-BY 4.0)
Marcus Pang
Reviewed by
Marcus Pang·Managing Director (Maths)
Join our Telegram study group

Want small-group support? Browse our A-Level Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.

Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.

Read in layers

1 second

Read the summary above.

10 seconds

Scan the first few sections below.

100 seconds

Jump into the section that matches your decision.

  1. Quick complex-number map
  2. 4.1 | Core Concepts and Forms
  3. 4.2 | Operations and Quadratic Roots
  4. 4.3 | Loci on the Argand Plane
Q: What does H2 Maths Notes (JC 1-2): 4) Complex Numbers cover?
A: Complex numbers in Cartesian form, modulus/argument loci, conjugates, quadratic roots, and Argand-diagram geometry for H2 Maths Topic 4.
Before you begin
Review your Additional Maths introduction to complex arithmetic so operations with a+bi a + bi feel fluent. For the 2026 syllabus, focus on Cartesian form and Argand geometry (polar/exponential representations and De Moivre workflows are excluded).

Quick complex-number map

If you have...Walk away with thisFirst action
1 secondComplex numbers pair algebra with geometry.Separate real and imaginary parts.
10 secondsConjugates make denominators real and reflect points.Use zˉ\bar{z}