St. Stephen’s Girls’ College Form 3 Math Final Exam 2019-20

Numerical Answer (數值答案):

1. a) (2m – 3)(m + 1)
   b) (3m – 2))(2m – 3n)
   c) (r + s + 6)(r – s + 6)
2. 45a⁵/b²
3. a) 3.14 x 10⁷
   b) -3.26 x 10^-7
4. A0000030 ₍₁₆₎
5. m > 48/5
6. I, II
7. 75°
8. 9 cm
9. a) 1 : 9
   b) 3 : 5
10. 7.13°
11. II, III
12. 374 m
13. (10, -15)
14. 4
15. (0, -5)
16. 5/36
17. $3.25
18. a) x > 5/9
    b) 1
19. a) – 
    b) –
20. a) –
    b) –
    c) –
21. a) 25/16
    b) 237 m (cor. to 3 sig. fig.)
    c) Path PQ is steeper.
22. a) 7.5 cm
    b i) 45.5 cm
      ii) Solid Y is not similar to solid X.
23. a) B = (3, -4), D = (5, 0)
    b) (-5, -5)
    c) 65 sq. units
24. a) C = (0, 2), D = (10, 0)
    b) (4, 0)
25. a i) AE = \(\dfrac{20}{sqrt{3}}\) km
           DE =\(\dfrac{10}{sqrt{3}}\) km 
      ii) 61.6 km/h (cor. to 3 sig. fig.)
    b i) 4.06 km
      ii) 063.4°
    
    

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