數學試卷答案 – St. Stephen’s Girls’ College Form 1 Math Final Exam 2017-18 Paper 1

數學試卷答案 – St. Stephen’s Girls’ College Form 1 Math Final Exam 2017-18 Paper 1

試卷答案

1. a) 80 cm
   b) n = 9
2. a) 10n – 18 ≥ 130
   b) 15, 20
   (or any integer value ≥ 15)
3. x = 8
4. a) $24 000
   b) x = 135°, y = 36°
   c) 32.5%
5. 
6. 84.8 cm²
7. a) i) 4320 cm³
      ii) h = 20
   b) i) 1728 cm²
       ii) 24 cm
     iii) They do not have equal total surface area.
8. a) b)
   
   c) Obtuse-angled triangle
9. a) (3, -5)
   b) P is reflected in the y-axis to R.
        (or P is translated 6 units to the right to R.)
   c) 15
   d) Q (0, 4) and S (0, -6)
       (or any other reasonable answers)
10. a)
    
    b) (4, 290°)
    c) ΔORS is a right-angled triangle.
11. a) N (0, 2)
    b) Correctly plot P and R.  Joining the 4 vertics.
    
    c) 45
    d) (-1, 1)
12. a) ∠UST = 21°
    b) Yes.   Reason: alt. ∠s equal
13. a = 56°, b = 101°
14. a) – 
    b) AD = 12
15. a) ∠PRQ = 140°
    b) Yes.  Reason (SAS)

St. Stephen’s Girls’ College Form 1 Math Final Exam 2017-18 Paper 1 試卷