Numerical solution of equations: past paper questions
Real questions on numerical solution of equations
The newest 20 of 56 written questions. Open one to see it on the real paper.
- 9709/21 · October/November 2025 · Q7d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/23 · October/November 2025 · Q7d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/31 · October/November 2025 · Q9c[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/31 · October/November 2025 · Q9d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · October/November 2025 · Q6b[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · October/November 2025 · Q6c[3]
3-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/23 · May/June 2025 · Q4b[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · May/June 2025 · Q6c[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · May/June 2025 · Q11b[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · May/June 2025 · Q11c[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · May/June 2025 · Q11d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/22 · February/March 2025 · Q5c[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · February/March 2025 · Q7c[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/21 · October/November 2024 · Q5b[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/22 · October/November 2024 · Q4c[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/23 · October/November 2024 · Q5b[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · October/November 2024 · Q2a[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · October/November 2024 · Q2b[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/22 · May/June 2024 · Q6d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/23 · May/June 2024 · Q6d[3]
3-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
This question was extremely well attempted, and candidates usually gained full marks. However, some candidates used an incorrect iterative formula, were working in degrees rather than radians or did not give the required number of decimal places in their solutions.
— Examiner report, February/March 2025, 9709/32 Q7(c) (Cambridge)
The relationship between the terms of a geometric progression appeared to be well understood. Calculation of the common ratio in terms of the first term and substitution into the formula for the sum to infinity was the most frequently used method with accurate algebraic manipulation often leading to a correct quadratic or cubic equation. A visible method of solution for these equations was require...
— Examiner report, May/June 2023, 9709/13 Q8(a) (Cambridge)
The process of obtaining the common difference from the first two terms appeared to be well understood as did the use of the formulae for the sum to n terms of an arithmetic progression. Here it was more usual for candidates to work with an equality rather than an inequality. Whilst most solutions showed the algebra used to reach a quadratic expression very few showed how this expression was solve...
— Examiner report, May/June 2023, 9709/13 Q8(b) (Cambridge)
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