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Solving Quadratic Equations including using the Formula and or Completing

the Square, with Solutions, KS4 Higher (accessible to accelerated KS3

students) Non-Calculator. * means “may be challenging”

A. Solve the following Equations:

1.

2. 13.

= 0

15.

= 0 16.

17.

* 18. * 19. = 0 *20.

B. Solve the following equations:

1.

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B. Continued:

7.

10.

13. 14.

16.

19.

22. 23.

25. 27.

28.

31.

*33.

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B. Continued:

35.

38.

41.

44.

47.

*49. * 50.

C. Miscellaneous including completing the square (or use of the Formula )

Solve the following equations, leaving your answer in surd form where necessary:

(* means “may be challenging” ** means leave answer in surd form)

**3.

* *5. 4 ** 6.

7.

*9. *10.

Beyond GCSE (for the most able)

* 11. * 12.

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Answers/Solutions (solutions are not unique):

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Please see the next page

for Q18, 19 and 20.

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Section B, continued

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I hope you find this useful and challenging for the most able students.

Please check answers and let me know if you find any errors.