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Completing the square past paper questions

Mathematics 9709 · Quadratics. Express in the form a(x+b)^2+c; vertex of a parabola

It came up in 40 of 69 papers, for about 3 marks a paper when it does. It last came up in October/November 2025.

Often set with Inverse functions, Domain, range and composite functions, Quadratic equations and inequalities, Transformations of graphs.

41 questions, newest first

1. 9709/11/O/N/25 Question 4 part (a) · 3 marks
2. 9709/12/O/N/25 Question 1 part (a) · 2 marks
3. 9709/13/O/N/25 Question 10 part (a(i)) · 3 marks
4. 9709/12/M/J/25 Question 11 part (a) · 2 marks
5. 9709/11/O/N/24 Question 11 part (a) · 3 marks
6. 9709/12/O/N/24 Question 7 part (a) · 3 marks
7. 9709/13/O/N/24 Question 8 part (a) · 2 marks
8. 9709/11/M/J/24 Question 1 part (a) · 2 marks
9. 9709/11/O/N/23 Question 9 part (a) · 2 marks
10. 9709/12/O/N/23 Question 6 part (a) · 2 marks
11. 9709/12/M/J/23 Question 3 part (a) · 2 marks
12. 9709/11/O/N/22 Question 9 parts (a) (b) · 3 marks
13. 9709/12/O/N/22 Question 6 parts (a) (c) · 6 marks
14. 9709/12/O/N/22 Question 11 part (a) · 3 marks
15. 9709/13/O/N/22 Question 2 part (a) · 2 marks
16. 9709/11/M/J/22 Question 1 part (a) · 2 marks
17. 9709/13/M/J/22 Question 6 part (a) · 2 marks
18. 9709/12/F/M/22 Question 5 part (a) · 2 marks
19. 9709/11/O/N/21 Question 8 part (a) · 2 marks
20. 9709/13/O/N/21 Question 3 part (a) · 2 marks
21. 9709/12/M/J/21 Question 1 part (a) · 2 marks
22. 9709/12/F/M/21 Question 7 part (a) · 3 marks
23. 9709/13/O/N/20 Question 1 part (a) · 2 marks
24. 9709/12/M/J/20 Question 6 part (b) · 3 marks
25. 9709/13/M/J/20 Question 9 part (a) · 2 marks
26. 9709/12/F/M/20 Question 9 part (a) · 2 marks
27. 9709/11/O/N/19 Question 11 part (i) · 4 marks
28. 9709/12/O/N/19 Question 9 part (iv) · 3 marks
29. 9709/11/M/J/19 Question 5 parts (i) (ii) · 3 marks
30. 9709/13/M/J/19 Question 1 part (i) · 2 marks
31. 9709/12/F/M/19 Question 8 part (i) · 2 marks
32. 9709/12/O/N/18 Question 9 part (i) · 2 marks
33. 9709/13/O/N/18 Question 11 part (i) · 3 marks
34. 9709/12/M/J/18 Question 7 part (i) · 2 marks
35. 9709/13/M/J/18 Question 1 · 3 marks
36. 9709/11/M/J/17 Question 7 part (ii) · 2 marks
37. 9709/13/M/J/17 Question 9 part (i) · 3 marks
38. 9709/11/O/N/16 Question 1 part (i) · 2 marks
39. 9709/13/O/N/16 Question 8 part (i) · 3 marks
40. 9709/11/M/J/16 Question 6 part (b(ii)) · 2 marks
41. 9709/12/M/J/16 Question 11 part (iii) · 2 marks

More in Quadratics: Discriminant, Quadratic equations and inequalities, Simultaneous equations, Equations quadratic in a function of x.

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