Quadratic functions: past paper questions
Real questions on quadratic functions
The newest 20 of 55 written questions. Open one to see it on the real paper.
- 4037/13 · October/November 2025 · Q10a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q10b[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q8a[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q9a[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q2[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q7a[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q7b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q2[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q6a[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q6b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2025 · Q10[9]
9-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2024 · Q10a(i)[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2024 · Q10a(ii)[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2024 · Q10b(ii)[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2024 · Q10c[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2024 · Q2a[3]
3-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2024 · Q2b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2024 · Q3[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2024 · Q8a[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2024 · Q8b[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
Many candidates were unable to obtain the correct value of a. For the inverse function to exist, the function has to be a 1 to 1 function. The largest domain is when x is greater than or equal to the value of x at the stationary point on the curve, As the function is in completed square form, this is when 3 x + 1 0.
— Examiner report, October/November 2023, 4037/12 Q8(a)(i) (Cambridge)
More candidates were successful at finding the range of the function, Again, the fact that the function was given in completed square form should have helped candidates write down the answer of – 4. The use of the phrase ‘Write down’ implies that the answer can just be written straight down with no extra working involved.
— Examiner report, October/November 2023, 4037/12 Q8(a)(ii) (Cambridge)
Strong candidates used long division to find the quadratic factor and went on to find the discriminant correctly, although their reasoning was not always correct. Those who did not score full marks in this part still managed to divide out successfully, but did not know what to do next. Some relied on a simple statement for the final mark but they did not show that the discriminant is less than zer...
— Examiner report, October/November 2023, 4037/13 Q4(b) (Cambridge)
Past papers, syllabus and examiner reports © UCLES (Cambridge University Press & Assessment). Questions are matched to topics from the official syllabus. AssessPro is independent and not endorsed by Cambridge.