Subject Guides

How to Study Maths Grade 12

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Grade 12 Mathematics is one of the most feared and most rewarding subjects in the South African curriculum. The difference between students who struggle and students who pass well almost always comes down to how they study, not how smart they are.

The Grade 12 Maths Exam Structure

Paper 1 Mark Distribution (150 marks)
Algebra
25%
Calculus
35%
Number Patterns
15%
Finance
15%
Probability
10%
Source: DBE CAPS Assessment Guidelines
Key Takeaway

Calculus + Trigonometry + Analytical Geometry account for roughly 60% of your total maths mark. Master these three and you are already passing.

The 4-Step Study Method

1

Learn the theory (20% of your time)

Read your textbook. Understand why formulas work. Write each formula on a flashcard.

2

Work through examples (30%)

Do worked examples. Cover the solution, try it yourself, then check.

3

Practice exercises (30%)

Start easy, progress harder. Mark your work immediately.

4

Past paper drills (20%)

Do past paper questions by topic. Time yourself: 1 minute per mark.

Topic Tips

Calculus (35% of Paper 1)

  • First principles – the limit definition of a derivative
  • Differentiation rules – power rule, chain rule
  • Cubic graphs – sketching, turning points, inflection
  • Optimisation – maximising/minimising real scenarios
Pro Tip

Examiners love optimisation questions at the end of calculus (8-10 marks). Most students skip them. Learn to set up the equation from a word problem.

Trigonometry (33% of Paper 2)

  • Compound and double angles
  • Trig identities and proofs
  • General solutions
  • Sine and cosine rules for 2D/3D
70%of questions follow predictable patterns
5+years of papers is ideal
1 minper mark target pace

Common Mistakes

  • Reading notes instead of doing problems – if your pen is not moving, you are not studying maths
  • Skipping steps – show every step for method marks
  • Not checking answers – substitute back into the original equation

Need maths study resources?

Grade 12 Maths past papers, study guides, and worksheets – created by SA teachers, aligned to CAPS.

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