Set 4 — 2026 past papers

1. 4.01: Stationary points and exact distance0606/12/F/M/26 — Question 5 · 7 marks
2. 4.02: Approximate change using differentiation0606/12/F/M/26 — Question 7 · 4 marks
3. 4.03: Tangent to a logarithmic curve0606/12/M/J/26 — Question 5 · 4 marks
4. 4.04: Approximate change in a rational function0606/12/M/J/26 — Question 8 · 5 marks
5. 4.05: Normal to an exponential curve0606/13/M/J/26 — Question 12 · 7 marks
6. 4.06: Differentiating a trigonometric power0606/21/M/J/26 — Question 5 · 9 marks
7. 4.07: Normal and coordinate triangle0606/21/M/J/26 — Question 10 · 10 marks

Set 3 — 2021–2025 past papers

1. 3.65: Normal cutting a cubic again0606/13/O/N/25 — Question 5 · 8 marks
2. 3.90: Small change for $y = \sin 5x$0606/13/O/N/25 — Question 3 · 4 marks
3. 3.43: Related rates for a sphere0606/22/M/J/25 — Question 5 · 4 marks
4. 3.58: Derivative, small change and stationary point0606/22/O/N/24 — Question 2 · 8 marks
5. 3.59: Intersection of a tangent and a line0606/23/O/N/24 — Question 5 · 8 marks
6. 3.35: Quotient/product derivative and stationary points0606/12/M/J/24 — Question 8 · 8 marks
7. 3.94: Derivative of tan at π/30606/12/M/J/24 — Question 3 · 4 marks
8. 3.93: Normal to a curve; find k0606/13/M/J/24 — Question 8 · 7 marks
9. 3.75: Differential identity for $y=mx^{2}+n/x^{2}$0606/21/M/J/24 — Question 7 · 4 marks
10. 3.39: Polynomial factors and second-derivative test0606/23/M/J/24 — Question 6 · 11 marks
11. 3.74: Line, curve and tangent intersection0606/11/O/N/23 — Question 8 · 10 marks
12. 3.52: Domain and derivative of a rational power curve0606/12/O/N/23 — Question 12 · 6 marks
13. 3.53: Normal determining constants p and q0606/21/O/N/23 — Question 5 · 6 marks
14. 3.54: Non-zero k for a tangent condition0606/22/O/N/23 — Question 2 · 5 marks
15. 3.55: Normal to a cubic curve0606/22/O/N/23 — Question 4 · 5 marks
16. 3.29: Completing the square, stationary point and sketch0606/11/M/J/23 — Question 1 · 10 marks
17. 3.30: Tangent line to a curve from a linear condition0606/21/M/J/23 — Question 11 · 9 marks
18. 3.91: Normal to $y = 4\cos x$ meeting the $x$-axis0606/22/M/J/23 — Question 8 · 7 marks
19. 3.48: Normal gradient and normal equation0606/21/O/N/22 — Question 3 · 8 marks
20. 3.51: Tangent condition determining constants0606/23/O/N/22 — Question 2 · 5 marks
21. 3.22: Product rule, no stationary points, and rates0606/13/M/J/22 — Question 7 · 9 marks
22. 3.24: Related rates in a triangular prism water container0606/21/M/J/22 — Question 9 · 8 marks
23. 3.92: Approximate change using differentiation0606/21/M/J/22 — Question 7 · 6 marks
24. 3.25: Small change relating x and y0606/22/M/J/22 — Question 4 · 5 marks
25. 3.6: Differentiation, small increments and connected rates0606/12/F/M/22 — Question 5 · 7 marks
26. 3.44: Gradient condition and finding f(x)0606/13/O/N/21 — Question 10 · 9 marks
27. 3.45: Derivative of a composite power and stationary point0606/13/O/N/21 — Question 11 · 10 marks
28. 3.122: Eliminate parameter; tangent when $\theta=\pi/3$0606/23/O/N/21 — Question 6 · 7 marks
29. 3.13: Surd point on a curve and stationary point0606/11/M/J/21 — Question 8 · 8 marks
30. 3.16: Stationary point involving surds0606/12/M/J/21 — Question 6 · 7 marks
31. 3.19: Values of k for a tangent line to a curve0606/21/M/J/21 — Question 7 · 6 marks
32. 3.20: Minimum surface area of hemisphere–cylinder solid0606/22/M/J/21 — Question 9 · 8 marks
33. 3.2: Quotient rule and unique stationary point0606/12/F/M/21 — Question 10 · 9 marks
34. 3.3: Distance between intersection of a curve and a line0606/22/F/M/21 — Question 4 · 6 marks
35. 3.4: Related rates for an expanding cube0606/22/F/M/21 — Question 5 · 6 marks
36. 3.5: Tangent to a cubic and inverse-function gradient0606/22/F/M/21 — Question 7 · 8 marks