數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2016-17

數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2016-17

試卷答案

Section A

1. Mean: 66.1, Median: 67.5, Mode: 80
2. a) 136 cm
   b) 148 cm
   c) 150 cm
3. a) \(3.4 \times  10^{8}\)
   b) \(−2.6 \times 10^{-5}\)
4. (4x − 3y)²
5. a) (a + b)(a – b)
   b) 2(x − 2y)(x + 2y)(x² + 4y²)
6. 1D5₁₆
7. C00000128₁₆
8. 8
9. $48 367
10. 68.1%
11. y ≥ 1/3
    
12. $4480000
13. $17100
14. 0.472  (or 59/125)
15. a) 1/3
    b) 13/36
    c) 19/36
16. 9 cm
17. 144π cm³

Section B

18. \(\dfrac{a^{3}}{2b^{9}}\)
19. a) \(1.025 \times 10^{8}\) mL
    b) Yes
20. 0
21. 50
22. a) y = 1.2h
    b) 20%
23. a) Mean = 67, Median = 66
    b) i) Mean = 73, Median = 75
    ii) Mean = 76.2, Median = 80
24. a) 27.4 cm
    b) 9.54%
25. a) $19562
    b) 6.2% p.a.
26. -60
27. a) i) 1/6
    ii) 1/12
    iii) 1/12
    b) No
28. a) 0.952 m
    b) 49.4 m²
29. a) (m + 3)(m² – 3m + 9)
    b) (m + 3)(m + 35)
    c) (m + 3)(3m + 2)(m – 4)

St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2016-17 試卷