IEB Mathematics practice
Grade 12 IEB practice: 10 topic booklets and 6 full mock papers, 209 questions covering all 98 topics the IEB examines, every one with a worked answer. Free to download.
Where these questions come from
Not from a past paper. Every question in these booklets and papers was generated for this site. The IEB is a private examining board and its papers belong to it; none of them is reproduced here, in whole or in part.
What was taken from the real examination is its shape. 415 past IEB questions were labelled by topic, paper, section and mark value, and that measurement decides what appears here: which topics, how much of the paper each is worth, and how the 150 marks divide between the easier Section A and the harder Section B. The questions themselves are new: before publication each one is held to 554 real IEB questions, and none repeats their wording.
Every answer was produced by one method and then checked by a different one before it was published — a quadratic’s roots substituted back, a tangent length re-measured from coordinates, a counting answer re-counted by listing the arrangements. A question whose two methods disagreed was discarded and redrawn, so nothing here is published on the strength of the code that produced it.
The IEB does not endorse this site and has no connection to it. See Independence.
The booklets
One page per subject: every question with its worked answer, and the same set as a booklet to print, with the memorandum as a separate file.
140 questions · 1742 marks · 10 booklets, each in English and Afrikaans
| Subject | Paper | Topics | Questions | Marks |
|---|---|---|---|---|
| Differential calculus | Paper I | 11 | 21 | 259 |
| Functions and graphs | Paper I | 10 | 12 | 136 |
| Algebra | Paper I | 8 | 9 | 131 |
| Sequences and series | Paper I | 7 | 13 | 182 |
| Finance, growth and decay | Paper I | 12 | 17 | 172 |
| Probability and counting | Paper I | 9 | 12 | 165 |
| Trigonometry | Paper II | 5 | 15 | 202 |
| Euclidean geometry | Paper II | 14 | 19 | 219 |
| Analytical geometry | Paper II | 13 | 12 | 156 |
| Statistics | Paper II | 13 | 10 | 120 |
Full mock papers
A whole paper, in the IEB’s two-section shape, with a memorandum. Give yourself three hours.
Sit one under time, and have it marked
- IEB mock Paper I150 marks, 11 questions in 49 partsSection A 73 · Section B 77
- IEB mock Paper I (second paper)150 marks, 11 questions in 52 partsSection A 73 · Section B 77
- IEB mock Paper I (third paper)150 marks, 12 questions in 56 partsSection A 76 · Section B 74
- IEB mock Paper II150 marks, 11 questions in 56 partsSection A 70 · Section B 80
- IEB mock Paper II (second paper)150 marks, 12 questions in 58 partsSection A 72 · Section B 78
- IEB mock Paper II (third paper)150 marks, 12 questions in 51 partsSection A 77 · Section B 73
Every paper and its memorandum can also be downloaded as a PDF from the paper's page.