數學試卷答案 – St. Stephen’s Girls’ College Form 2 Math Final Exam 2020-21 Paper 1

數學試卷答案 – St. Stephen’s Girls’ College Form 2 Math Final Exam 2020-21 Paper 1

試卷答案

1. a) i) \(x^{2}+6xy+9y^{2}\)
   ii)\(2x^{2}+3xy-5y^{2}\)
   b) \(-4x^{2}+3xy+33y^{2}\)
2. a) \(x^{2}(x+y-7)\)
   b) \(x^{2}-1\)
   c) \((x+y-7)(x+1)(x-1)\)
3. p = -10
   q = -7
4. a) 15 m/s
   b) 75 s
5. a) 9 : 10
   b) 53 : 28
6. Dennis’ age: 29
   son’s age: 5
7. x = 73°
   y = 146°
8. x = 27°
9. 150°
10. a) –
    b) 126 cm²
    c) 7.2 cm
11. \(5^{x+2y}\)
12. a) \(k=\dfrac{h}{4}-\dfrac{7}{2}\)
    b) -1
13. \(\dfrac{7\sqrt{2}}{2}\)
14. tan θ = 8/15
15. a) BC = 6.36 m
    b) 24.1°
16. a) -2 sinθ cosθ
    b) 2 cosθ
17. –
18. a) \(BD=\sqrt{3}x\),   CD = 2x
    b) 15°
    c) \(\dfrac{1}{2+\sqrt{3}} or 2-\sqrt{3}\)

St. Stephen’s Girls’ College Form 2 Math Final Exam 2020-21 Paper 1 試卷