La Salle College – F3 Maths Final Exam Paper 1 A B 2012-13

Numerical Answer (數值答案):

Paper 1 Section A

1. 12b/a
2. a) \(\dfrac{2}{5-x} – x\)
   b) 16/7
3. a) (x – y)(x + y)
   b)996000
4. No. of axes of symmetry = 4
   Order of rotational symmetry = 4
5. x = 51°
6. \(4\sqrt{3} cm\)
7. \(3\sqrt{5}\)
8. 660 cm²

Section B

9. x＞1/2
10. \(10\sqrt{3}\)
11. a) He uses the mode.
    b) The claim does not reasonably reflect the central tendency because most of the prices are around $60 which is more than $10.
12. a) –
    b) 60°
13. 15°
14. a) (x  + 2)(x – 7)
    b) x = -2  or  x =7
    c) -2 ≤ x ≤ 7
15. slope of L1 = -4/3
    slope of L3 = -4/3
    slope of L2 = 3/4
16. height of pyramid = 24 cm
    volume of pyramid = 3200 cm³
17. a) –
    b) game is not fair as expected prize money is not equal to ticket price.

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