St. Stephen’s Girls’ College Form 4 Maths Final Exam 2018-19

試題答案:

Section A

1. A
2. D
3. C
4. A
5. B
6. C
7. A
8. D
9. D
10. C
11. A
12. B
13. D
14. B
15. A
16. A
17. B
18. B
19. C
20. C
21. D
22. C
23. D
24. B

Section B

25. \(k = \dfrac{4h}{2h-1}\)
26. \(dfrac{y^{16}{x^{3}}\)
27. a) (3a + 2)(3a – 2)
    b) b (3a – 2)(a + 5)
    c) (3a – 2) (3a + 2 -ab – 5b)
28. \(dfrac{9 – x}{(x – 3)(x + 3)}\)
29. h = -1/4, k = -3
30. x = 180° – θ
    y = 2θ – 180°
31. 2 sin θ
32. θ = 60° or 300°
33. a) y = 5  or  y = 1
    b) x = 0  or x = log5 / log6 ≈0.898
34. a) y = (1/2) x + 3   (or x – 2y + 6 = 0)
    b) P = (4, 5)
    c) (5/4, 11/2)
35. a) a = 11, b = -2
    b) The claim is disagreed.
36. a) 3x + 5
    b) The equation has 1 rational root.
37. a) (10, 100)
    b i) \(A = \dfrac{x^{2}{8} – \dfrac{5}{2}x + 25\)
      ii) The claim is agreed.
38. \(y = 390625 x^{8/3}\)

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