數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2020-21

數學試卷答案 – St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2020-21

試卷答案

Section A

1. a) (x – 10)(x + 3)
   b) -2(p + 5q)(p – 5q)
   c) 2y(y – 6)²
2. a) True
   b) False
   c) True
3. \(b = \dfrac{c}{a-1-y}\)
4. 12
5. a) \(-2.53 \times 10^{6}\)
   b) \(3.9 \times 10^{-7}\)
6. III < I < IV < II
7. a) \(2^{3}\)
   b)\(1 \times 2^{5} + 0 \times 2^{4} + 1 \times 2^{3} + 1 \times 2^{2} + 0 \times 2^{1} + 0 \times 2^{0}\)
8. 200001000₍₁₆₎
9. 3
10. -23%
11. a) $800
    b) $3600
    c) $85000
12. y > 1
13. a) x < -5
    b)
    
14. a) False
    b) False
    c) True
15. m = 10
    n = 10
16. I, II, III

Section B

17. \(\dfrac{-x^{24}}{y^{12}}\)
18. a) x > -14/3
    b) -1, -2, -3, -4
19. At least 37 chocolate cakes should be produced.
20. 110π cm²
21. a) 0.9
    b) $1219
22. a) \(7.33 \times 10^{-26}\)
    b) i) \(2.7 \times 10^{25}\)
        ii) 1.4418 kg
23. a) x = 3
    b) y = 86
24. a) –
    b) –
    c) Yes
25. a) (5a + 2b)(a – 2b)
    b) (5a + 2b)(5a – 2b)
    c) (5a + 2b)(20ax – 8bx – a +2b)
26. a) 24π cm²
    b) (24 + 4π) cm
    c) Do not agree.
27. a) $1.01x
    b) i) x = 100000
        ii) The claim is not correct.

St. Stephen’s Girls’ College Form 3 Math Mid-Year Exam 2020-21 試卷