Trigonometry: past paper questions
Real questions on trigonometry
The newest 20 of 124 written questions. Open one to see it on the real paper.
- 4037/12 · October/November 2025 · Q13[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 · Q6a[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q6b[4]
4-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q2a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q8b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q11a[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q11b[6]
6-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q4b[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q7[6]
6-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q5b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q10a[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q10b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q4a[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q4b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q8a[3]
3-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q8b[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2025 · Q4a[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2025 · Q4b[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2025 · Q9a[5]
5-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2025 · Q9b[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
Although many candidates obtained the correct period, it was evident that some were unable to calculate the period correctly. This did not appear to cause a problem with part (c) as most candidates ‘plotted’ points.
— Examiner report, October/November 2023, 4037/12 Q2(b) (Cambridge)
Many candidates were able to identify two of the solutions, but very few were able to obtain all three. There π 3 π 1 were two possible options, either working with cos 2θ + = ( ± ) or tan 2θ + = ( ± ) . It was not 6 2 6 3 essential to see ± for the first mark, but omission of this resulted in only 2 solutions in the range being found. It was pleasing to see the most candidates appreciated the ord...
— Examiner report, October/November 2023, 4037/12 Q5 (Cambridge)
In this question, candidates needed to prove a trigonometric identity. Candidates needed to work to show that the left-hand side of the identity was equal to the right-hand side. Most candidates attempted to do this, although a small number still worked as if they were manipulating an equation, moving terms from side to side and assuming the right-hand side was valid, which was not permitted. Ther...
— Examiner report, October/November 2023, 4037/22 Q10(a) (Cambridge)
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