Grade 12 Fundamentals (Assumed You Know)

This page is your pre-flight checklist before serious matric problem-solving.

Use this order:

1. Fix Grade 12-ready core skills below.
2. Use the shared Appendix when you need cross-grade reference material.
3. If needed, step down to Grade 11/10 pages for full rebuild.

Why This Section Exists

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Every year, markers report the same patterns:

• Students who understand the calculus concept but lose marks because they can’t simplify $\frac{3x^2}{6x}$ correctly.
• Students who set up the trig identity proof perfectly but then fail to factorise $\cos^2\theta - \sin^2\theta$.
• Students who know the annuity formula but get the wrong answer because they entered $\frac{0.12}{12}$ incorrectly on their calculator.

Grade 12 content assumes you can do these things flawlessly. If you can’t, the marks bleed from every section.

Fix Your Gaps (Start Here)

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• Fractions & Algebraic Fractions Toolkit (Shared Appendix): One shared fractions page used across Grade 10, 11 and 12.
• Factoring & When You Can Cancel: The rules for when you CAN and CANNOT cancel terms — and how to factor properly.
• Exponents & Exponential Form: Laws of exponents, converting roots to powers, and simplifying — critical for Calculus and Functions.
• Other Skills That Trip You Up: Solving equations, substitution, negative signs, calculator use, and reading exam questions.

Go Deeper: Lower Grade Content

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These topics are covered in full detail at the grade level where they’re first introduced. If a quick recap here isn’t enough, work through the full lessons:

Grade 10:

• Algebraic Expressions — Expanding brackets, factoring, DOTS, trinomials
• Equations & Inequalities — Linear equations, literal equations, simultaneous equations
• Exponents — Laws of exponents from scratch
• Number Patterns — Linear patterns and finding the general term

Grade 11:

• Equations & Inequalities — Quadratic formula, discriminant, quadratic inequalities
• Exponents & Surds — Surd equations, rationalising denominators
• Number Patterns — Quadratic patterns and second differences

🏠 Back to Grade 12 | ⏭️ Algebra, Equations & Inequalities