Matric past papers · DBE (CAPS) · Paper 1
DBE Grade 12 Functions and graphs
Every functions and graphs question from the DBE NSC Paper 1 papers of November 2021–2024 and May/June 2021, 2022, 2024, 2025, in one booklet — 22 questions, 277 marks, with the official marking guideline for every one of them. Free to download, in English and Afrikaans.
Download
- Questions (English) 28 pages, 0.8 MB
- Solutions (English) 27 pages, 1.9 MB
- Vrae (Afrikaans) 28 pages, 0.8 MB
- Oplossings (Afrikaans) 27 pages, 1.9 MB
Each question is a clip of the original DBE page: the wording, the mark allocations and the diagrams are exactly as they were printed. Only the blank answer space has been removed, so work in a separate book. The solutions booklet is the board’s own marking guideline, not a rewritten one.
What is in it
22 questions in 3 chapters, ordered so you can work through one skill at a time.
| # | Question | Skills | Marks | From |
|---|---|---|---|---|
| 1 | The inverse of 3 to the x, and where a translated point lands | Exponential graphs, Inverses, and reflection in y = x, Translations and reflections | 8 | May/June 2021 Q6 |
| 2 | Log base 4: find k, then write down the inverse | Logarithmic graphs, Inverses, and reflection in y = x, Reading an inequality off the graph | 8 | November 2021 Q6 |
| 3 | Find a, then describe the translation from g to h | Exponential graphs, Translations and reflections, Intercepts with the axes | 9 | May/June 2022 Q4 |
| 4 | A logarithm and its reflection in the line y = x | Logarithmic graphs, Inverses, and reflection in y = x, Intercepts with the axes | 9 | May/June 2024 Q5 |
| 5 | An exponential shifted down one, and the range that gives it | Exponential graphs, Domain and range, Asymptotes | 9 | November 2024 Q4 |
| 6 | An exponential and a straight line meeting at (3 ; 4) | Exponential graphs, Where two graphs meet, Intercepts with the axes | 11 | May/June 2025 Q6 |
| 7 | A straight line and its inverse, and where the two cross | Inverses, and reflection in y = x, Where two graphs meet, Intercepts with the axes | 13 | November 2022 Q5 |
| 8 | 2 to the x minus 4, on a closed interval | Exponential graphs, Domain and range, Asymptotes | 14 | November 2023 Q4 |
| 9 | Show that p = 4 and q = -3, then sketch the hyperbola | The hyperbola, Asymptotes, Intercepts with the axes | 10 | May/June 2021 Q4 |
| 10 | Asymptotes, domain, and both intercepts | The hyperbola, Asymptotes, Domain and range, Intercepts with the axes | 10 | November 2021 Q5 |
| 11 | Asymptotes, a sketch, and where the graph is positive | The hyperbola, Asymptotes, Reading an inequality off the graph | 10 | May/June 2024 Q4 |
| 12 | A line of symmetry is given - find p and q from it | The hyperbola, Asymptotes, Translations and reflections | 10 | November 2024 Q5 |
| 13 | Build the equation back from its domain and one intercept | The hyperbola, Domain and range, Asymptotes | 12 | May/June 2022 Q5 |
| 14 | Where the asymptotes meet, and the point on f closest to it | The hyperbola, Asymptotes, Translations and reflections | 15 | May/June 2025 Q4 |
| 15 | Asymptotes at (1 ; 2), and everything that follows from them | The hyperbola, Asymptotes, Intercepts with the axes, Reading an inequality off the graph | 20 | November 2022 Q4 |
| 16 | From a turning point and one other point to the equation | The parabola, The turning point, Translations and reflections | 9 | May/June 2025 Q5 |
| 17 | The turning point, then a vertical distance on the parabola | The parabola, The turning point, Intercepts with the axes | 14 | May/June 2022 Q6 |
| 18 | A parabola and a line, and the gap EH between them | The parabola, Where two graphs meet, Reading an inequality off the graph | 15 | November 2024 Q6 |
| 19 | A parabola, and a line whose angle of inclination is given | The parabola, Intercepts with the axes, Where two graphs meet | 17 | November 2021 Q7 |
| 20 | A parabola meeting a straight line, and the distance between them | The parabola, Where two graphs meet, The turning point | 18 | May/June 2021 Q5 |
| 21 | A turning point that is also a point of intersection | The parabola, The turning point, Where two graphs meet | 18 | November 2023 Q5 |
| 22 | Range, both intersections, and the line drawn through them | The parabola, Domain and range, Where two graphs meet | 18 | May/June 2024 Q6 |