NSC Mathematics Past Papers — Paper 1 and Paper 2
Mathematics is one of the most important NSC subjects for university admission. The NSC Mathematics exam consists of Paper 1 and Paper 2, each covering different topics. This guide explains what each paper covers, which topics carry the most marks, and how to prepare effectively using past papers.
Paper 1 Topics — What to Expect
Mathematics Paper 1 is a 3-hour paper worth 150 marks. It covers algebra and equations, functions and graphs, financial mathematics, and calculus.
| Topic | Approximate Marks |
|---|---|
| Algebra, equations and inequalities | 25–35 |
| Functions and graphs | 35–45 |
| Financial mathematics | 15–20 |
| Differential calculus | 35–40 |
| Probability | 15–20 |
Paper 2 Topics — What to Expect
Mathematics Paper 2 is also 3 hours and 150 marks. It covers Euclidean geometry, analytical geometry, trigonometry, and statistics.
| Topic | Approximate Marks |
|---|---|
| Statistics (data handling) | 20–25 |
| Analytical geometry | 30–40 |
| Trigonometry | 40–50 |
| Euclidean geometry | 40–50 |
Tips for Mathematics Past Paper Practice
- Attempt Paper 1 and Paper 2 separately under timed conditions (3 hours each).
- Always show all working — method marks are awarded even if the final answer is wrong.
- For calculus questions, write out each step: differentiate, equate to zero, solve, and check second derivative for maxima/minima.
- For geometry proofs, state each reason next to each statement — reasons in brackets score marks.
- Study the memorandum after each attempt and identify which topics you consistently lose marks on.
- Aim to complete past papers from at least 2019 to 2025 before writing.
Common Mistakes in Mathematics Exams
- Not reading the question carefully — for example, confusing 'simplify' with 'solve'.
- Skipping steps in algebraic manipulation — examiners need to see working.
- Losing marks on geometry by omitting reasons for statements.
- Incorrectly applying the chain rule or product rule in calculus.
- Confusing trigonometric identities — practise deriving them from scratch.
- Running out of time on the last question — manage your time and attempt all sections.
Where to Download Mathematics Past Papers
- education.gov.za — official DBE site, all years from 2014 onwards.
- mathsexcellence.co.za — curated papers with worked solutions.
- stanmorephysics.com — includes video explanations for past paper questions.
- Your Mathematics teacher can provide printed copies if needed.
