St. Stephen’s Girls’ College Form 4 Maths Mid-Year Exam 2022-23

試題答案:

Section A

1. C
2. C
3. D
4. B
5. A
6. D
7. A
8. D
9. B
10. A
11. B
12. C

Section B

13. \(y=\dfrac{3+x}{3-x}\)
14. \(\dfrac{x^{3}}{y^{11}}\)
15. a) (3x – 4y)(x + 2y)
    b) (3x – 4y)(2 + x + 2y)
16. 10/7
17. a) a =5 and b = 3
    b) x = 0 or x =9
18. a) 2
    b) 59/5
19. θ = 0° or 180°    or     θ = 48.2° or 311.8°
20. a) \(y=\dfrac{50-3x}{5}\)
    b) The area cannot be greater than 650cm²
21. –
22. a) 2x + 5y – 112 = 0
    b) Yes, 2 lines are parallel.
    c) (36, 8)
    d) (12, 6)
23. a) (0, -5)
    b) \(M=(\dfrac{9-\sqrt{41}}{4}, 0)\),  \(N=(\dfrac{9+\sqrt{41}}{4}, 0)\)
    c i) P = (5/2, 5)  or  (2, 5)
      ii) (9/4, 41/8)

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