CAPS Maths Topics

Free guides for South African learners. Worked examples, exam tips, and the AI coach when you get stuck.

Grade 8 & 9 — Foundations

Fix the holes in your foundations now — before high school maths exposes them.

Variables, expressions, and the algebra moves you'll use for the next three years.

SOH-CAH-TOA, the special angles, and how to use trig in right-angled triangles.

Sketch them, read them, and tackle the Functions and Graphs work in Paper 1.

The 6 identities you actually need and the 3-move trick for proofs.

Learn the rules, not the magic: first principles, derivatives, tangents and cubic graphs.

Paper 1 finance formulas you actually need, plus a trick for spotting which one to use.

Sketch sin, cos and tan with the correct periods, shifts and restrictions.