Page 23 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

ANSWERS

Chapter Try This! 1.2
1 Variation 1. (a) The time taken is decreased.
(b) The time taken is doubled.
Try This! 1.1 2. The value of xy is not a constant, thus y does not vary inversely
1. (a) The price of the durian is reduced by 20%. as x.
2
2
(b) The price of the durian is doubled. The value of x y is a constant, thus y varies inversely as x , that
y is y ∝ 1 2 .
2. The value of is not a constant, thus y does not vary directly x
x
as x. 3.
y y
The value of is a constant, thus y varies directly as √x, that
√x
is y ∝ √x. 60
3. 50
V
40
6
30
5
20
4
10
3 1 –
O x
2 0.1 0.2 0.3 0.4 0.5 0.6
1 1
The graph of y against x is a straight line starting from the
O 10 20 30 40 50 60 A origin. Hence, y varies inversely as x.
4. (a) f = 4
The graph of V against A is a straight line passing through the 3 √g
origin. Hence, V varies directly as A. 128
(b) f = 2
4. (a) p = 1.5q g
2
3
(b) p = 48√q 5. (a) 1.024
5. d = 25t (b) 0.4
6. (a) 283.5 6. (a) y = 1
(b) 1.4 4x 2
(b) 2.5
3
7. (a) A = 25√B
(b) 512 7. (a) G = 45
√H
8. (a) m ∝ pq (b) 3.75
(b) G ∝ E F
2
(c) V ∝ r h 8. (a) T = 540
2
N
2
9. (a) y = xz 2 (b) 104
3
(b) 0.9 9. 25
10. (a) 18
(b) 1.8 10. 2
11. x = 121.5, y = 0.6
Try This! 1.3
12. (a) E = 9.5MH
(b) 57 1. (a) e ∝ 1
f√g
13. (a) I = 0.04pt Y
(b) Mr Kamal can reduce the term of loan. To maintain the (b) X ∝
Z
2
interest charged, the term of loan is reduced so that the
amount of loan is increased. (c) p ∝ q
3 √r
161

11 ANS Focus KSSM Math F5_E2021.indd 161 18/02/2021 3:15 PM