數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2019-20

數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2019-20

試卷答案

Section A

1. a) 2(7m – 9n)(7m + 9n)
   b) (2x – 3)(2x – 1)
   c) 3a(a – 6)²
2. \(b=\dfrac{a-2ac-2ax}{1-x-c}\)
3. 1/3
4. a) \(1.42 \times 10^{7}\)
   b) \(-4.3 \times 10^{-8}\)
5. a) 2²
   b) \(1 \times 2^{5} + 1 \times 2^{4} + 0 \times 2^{3} + 1 \times 2^{2} + 0 \times 2 + 1 \times 1\)
6. 9C01B₍₁₆₎
7. -27.1%
8. 81.6°C
9. $256000
10. $22000
11. -1
12. x > -24/7
    
13. a) True
    b) False
    c) False
14. 700 mL
15. Mean: x + 4
    Median: x + 6
16. 104°
17. I, III

Section B

18. \(\dfrac{8y^{3}}{27x^{3}}\)
19. a) x = 80
    b) y = 45
20. a) 1.2
    b) $32249
21. a) $\(8.15 \times 10^{6}\)
    b)Yes, it will.
22. a) max value of n is 3
    b) i) $(640 – 10n)
       ii) No, Tom does not.
23. 16.1 cm
24. a) h = d
    b) i) h = 12
        ii) 96π mm²
25. a) –
    b) –
    c) –
26. a) i) (2y – z)(y + 3z)
        ii) (4x – 3)(x + 2)
    b) (4x – 2y + z)(x +y + 3z)
27. a) $24140
    b) i) Yes, he can.
        ii) $1084
    c) He should choose Bank B.

St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2019-20 試卷