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Equations and inequalities with unknown indices past paper questions

Pure Maths 3 9709 · Logarithmic and exponential functions. Use logarithms to solve equations and inequalities where the unknown is in an index.

In Cambridge A Level Pure Maths 3 9709, Equations and inequalities with unknown indices came up in 19 of the 42 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

20 questions, newest first

1. 9709/32/O/N/25 Question 2 · 4 marks
2. 9709/33/O/N/25 Question 3 · 4 marks
3. 9709/32/M/J/25 Question 1 · 5 marks
4. 9709/32/F/M/25 Question 1 · 3 marks
5. 9709/32/O/N/24 Question 4 · 3 marks
6. 9709/33/M/J/24 Question 1 · 4 marks
7. 9709/31/M/J/23 Question 1 · 3 marks
8. 9709/31/O/N/22 Question 3 · 4 marks
9. 9709/32/O/N/22 Question 1 · 4 marks
10. 9709/31/M/J/22 Question 1 · 4 marks
11. 9709/32/M/J/22 Question 1 · 4 marks
12. 9709/31/O/N/21 Question 1 · 4 marks
13. 9709/32/O/N/21 Question 1 · 4 marks
14. 9709/33/O/N/21 Question 3 · 4 marks
15. 9709/31/M/J/21 Question 2 · 5 marks
16. 9709/33/M/J/21 Question 2 · 5 marks
17. 9709/32/O/N/20 Question 1 · 3 marks
18. 9709/32/O/N/20 Question 3 part (b) · 2 marks
19. 9709/31/M/J/20 Question 1 · 4 marks
20. 9709/33/M/J/20 Question 3 part (b) · 4 marks

More in Logarithmic and exponential functions: Laws of logarithms, e^x and ln x, Reducing to linear form.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.