數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2018-19

數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2018-19

試卷答案

Section A

1. a) (8a – 5b)(8a + 5b)
   b) (m – 6)(m – 2)
   c) (7x -4y)²
2. a) \(8.4 \times 10^{-7}\)
   b) \(-3.15 \times 10^{8}\)
3. n = 5 – 2m
4. 8000000C00₍₁₆₎
5. a) 1.05
   b) 452486
6. $19520
7. -8.40%
8. \(n=\dfrac{2x+2y}{4+y}\)
9. x > 7
   
10. a) False
    b) False
    c) True
11. 66
12. I, III
13. 63
14. I, III
15. 3
16. 8 cm²

Section B

17. 8x³y³
18. a) x ≥ -33/23
    b) -1
19. $46.2
20. a) The owner used the mean to represent the average hourly wage.
    b) Mean is easily affected by extreme values.  There are extreme values in the above data set, therefore it is not appropriate to use mean to reflect the hourly age.
21. a) i) (3x – 4)(x + 1)
        ii) 2(3x² – 4)(3x² + 4)
    b) 2(3x² + 4)(3x -4)(x + 1)
22. \(\dfrac{1}{a(1-a)}\)
23. a) –
    b) –
    c) i) –
        ii) –
24. 141 cm²
25. a) 1 cm
    b) 6.67%
26. a) y = 0.8r
    b) The radius is decreased by 20%
27. a) $100750
    b) $101505.625 – 20075x
    c) $25657
28. a) \(3.2 \times 10^{6}\)
    b) \(9.58 \times 10^{7}\)m²
    c) The claim is not correct.

St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2018-19 試卷