Rates of change past paper questions

Mathematics 9709 · Differentiation. Connected rates of change using the chain rule

In Cambridge A Level Mathematics 9709, Rates of change came up in 31 of the 69 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Finding a curve from its gradient, Tangents and normals, Stationary points, Area.

31 questions, newest first

9709/11/O/N/25 Question 7 parts (b(i)) (b(ii)) · 6 marks
9709/11/M/J/25 Question 7 part (a) · 4 marks
9709/12/M/J/25 Question 4 part (a) · 3 marks
9709/12/M/J/24 Question 10 part (a) · 4 marks
9709/11/O/N/23 Question 3 · 3 marks
9709/13/O/N/23 Question 9 parts (b) (c) · 5 marks
9709/11/M/J/23 Question 9 · 6 marks
9709/12/F/M/23 Question 3 · 4 marks
9709/12/O/N/22 Question 11 part (c) · 3 marks
9709/13/O/N/22 Question 4 · 5 marks
9709/11/M/J/22 Question 10 part (d) · 3 marks
9709/13/M/J/22 Question 10 part (b) · 6 marks
9709/12/O/N/21 Question 9 · 6 marks
9709/12/F/M/21 Question 6 part (a) · 3 marks
9709/11/O/N/20 Question 3 · 3 marks
9709/12/O/N/20 Question 7 part (a) · 3 marks
9709/12/M/J/20 Question 3 · 5 marks
9709/13/M/J/20 Question 6 · 7 marks
9709/12/F/M/20 Question 4 · 4 marks
9709/13/O/N/19 Question 5 part (ii) · 4 marks
9709/12/M/J/19 Question 3 part (i) · 2 marks
9709/13/M/J/19 Question 10 part (iii) · 3 marks
9709/11/O/N/18 Question 10 part (ii) · 2 marks
9709/11/M/J/18 Question 2 · 4 marks
9709/12/M/J/18 Question 9 part (ii) · 2 marks
9709/12/M/J/17 Question 5 part (ii) · 2 marks
9709/13/M/J/17 Question 10 part (b) · 4 marks
9709/12/F/M/17 Question 3 part (ii) · 4 marks
9709/12/O/N/16 Question 7 part (iv) · 2 marks
9709/11/M/J/16 Question 4 part (i) · 2 marks
9709/13/M/J/16 Question 7 · 7 marks

More in Differentiation: Differentiation techniques, Tangents and normals, Increasing and decreasing functions, Stationary points, Gradient as a limit.

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