數學試卷答案 – St. Stephen’s Girls’ College Form 1 Math Final Exam 2016-17 Paper 1

數學試卷答案 – St. Stephen’s Girls’ College Form 1 Math Final Exam 2016-17 Paper 1

試卷答案

1. a = 7
2. x = -9/4
3. a) 8x – 60
   b) It is impossible.
4. a) 40
   b) i) 108°
   ii) 4
5. a) Correct labelling for the axes.
   Correct plotting for points A, B, C and D.
   
   b) Area of ABCD = 47.5
   c) i) Correct marking of P. (see above figure)
   ii) O lies inside ABCD.
   P lies outside ABCD.
6. a) (3, 0)
   b) (7,0) or (-1, 0)
7. a) x = 2
   b) 520 cm³
   c) 3.12 cm
8. a) 27 cm²
   b) 32.4cm²
9. a) b) c)
   
   d) R’ is translated 4 units upwards to K’.
10. a) (8, -10)
    b) i) (-8, 10)
        ii) P is rotated about the origin O through 180° to R(-8, 10).  
             alternative answer:
             P is translated 16 units to the left and then 20 units upwards to R.
       iii) Yes.
11. a) ∠ABC = 3f
    b) 15°
    c) Yes.  Reason: corr. ∠s equal.
12. a) x = 180° – a
    b) 115°
13. a) –
    b) 3
    c) 60
14. a) –
    b) 74
15. a) a = 7 or 8
    b) 45%
    c) Yes

St. Stephen’s Girls’ College Form 1 Math Final Exam 2016-17 Paper 1 試卷