數學試卷答案 – St. Stephen’s Girls’ College Form 2 Math Final Exam 2021-22 Paper 1

數學試卷答案:

1. P=2, Q=6
2. a) 3(4x + 7y)(4x – 7y)
   b) 2z(4x -7y)
   c) (4x – 7y)(12x + 21y – 2z)
3. a) a : b = 8 : 15
   b) 31 : 17
4. a) \(y=\dfrac{3x}{5x-2}\)
   b) \(y=\dfrac{3P}{5P-1}\)
5. a) \(\dfrac{ab}{2(b-a)}\)
   b) \(\dfrac{4x}{(x-3)(x-1)}\)
6. a) 1 mm
   b i) 7208.01 cm²
   b ii) 7242.01 cm²
   b iii) 7208.01cm² ≤ actual area < 7242.01 cm²
7. a i) 0.25 kg
   a ii) 4.17% (cor. to 3 sig. fig.)
   b) 2.94% (cor. to 3 sig. fig.)
   c) Do no agree
8. b) y = 4
9. b) x = 8
10. a i) \(2\sqrt{2}\)
    a ii) \(\dfrac{\sqrt{2}}{4}\)
    b) \(\dfrac{3\sqrt{3}+2\sqrt{2}}{6}\)
11. a) 443 cm³
    b) 161 cm³
    c)$6420
12. a) BC = 7.43 cm
    b) 23.0^o
13. a i) \(\dfrac{5a^{2}}{4}\)
    b) 5 cm²
14. a) reflex ∠AOB = 300^o
         OA = 18cm
    b) 989cm²
15. a) 74.9 cm
    b) Do not agree

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