Functions: past paper questions
Real questions on functions
The newest 20 of 112 written questions. Open one to see it on the real paper.
- 4037/12 · October/November 2025 · Q2b[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2025 · Q4a[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2025 · Q4b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2025 · Q4c(i)[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2025 · Q6[5]
5-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2025 · Q9a[11]
11-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q7b[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q12a[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q12b[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q9b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q2a(ii)[1]
1-mark “Describe” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q2b(i)[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q2b(ii)[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q2b(iii)[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q3a(i)[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q3a(ii)[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q3b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q3c[2]
2-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q10a[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q10b(i)[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
A variety of responses were seen. It was expected that some reference be made to the square root of a negative number. Some candidates just stated that the curve was undefined. Candidates should be aware of the meaning of the command word ‘Explain’.
— Examiner report, October/November 2023, 4037/12 Q12(a) (Cambridge)
This part proved to be the most straightforward, with two different approaches seen. In the first approach, candidates evaluated g(0) and used their answer to evaluate fg(0). It was rare to see an error when this approach was adopted, with just a very small number of candidates making an error evaluating 2sin0 + 3cos0. In the second approach, candidates began by finding the composite function fg(x...
— Examiner report, October/November 2023, 4037/23 Q1(a) (Cambridge)
Most candidates were able to find gg(x) correctly. The most common error was the omission of –1 from the end of the expression or the –1 appearing as part of the power. As in part (a), a small number of candidates multiplied the functions.
— Examiner report, October/November 2023, 4037/23 Q1(b) (Cambridge)
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