Logarithmic and exponential functions: past paper questions
Real questions on logarithmic and exponential functions
The newest 20 of 86 written questions. Open one to see it on the real paper.
- 0606/11 · May/June 2026 · Q8a[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2026 · Q8b[3]
3-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2026 · Q8c[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · May/June 2026 · Q9a[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · May/June 2026 · Q9b[5]
5-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/21 · May/June 2026 · Q4a[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/21 · May/June 2026 · Q4b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/21 · May/June 2026 · Q4c[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · February/March 2026 · Q10a[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · February/March 2026 · Q10b[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/02 · Specimen 2025 · Q2[4]
4-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · October/November 2025 · Q3a[5]
5-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · October/November 2025 · Q3b[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · October/November 2025 · Q5a[3]
3-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · October/November 2025 · Q5b[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · October/November 2025 · Q9a[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · October/November 2025 · Q9b[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · October/November 2025 · Q4a[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · October/November 2025 · Q4b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · October/November 2025 · Q9c[3]
3-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
The key to this part was correctly raising both sides of the initial equation to the power of 10, leading to a solvable equation. This then required standard substitution, rearrangement, and solving a quadratic, which most candidates did well. Sign errors were again the most common cause of mistakes. If y = 3x was substituted from the start, it led to an equation for which many candidates only gav...
— Examiner report, May/June 2025, 0606/11 Q4(b) (Cambridge)
Most candidates recognised that the argument of a logarithm must be greater than zero. Many rearranged correctly, although some provided a non-strict inequality and therefore did not receive full marks.
— Examiner report, May/June 2025, 0606/11 Q8(a) (Cambridge)
The majority of candidates understood the need for a change of base, often selecting the simpler base on the right-hand side. Those who worked on the expression outside of the equation before reintroducing it were more successful. After applying the change of base, most candidates knew the necessary logarithmic rules to form a quadratic equation, though some failed to convert the constant term (1)...
— Examiner report, May/June 2025, 0606/11 Q8(b) (Cambridge)
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