Page 19 - Modul A+1 Matematik Tingkatan 5

BAB 1 (b) Bil air bulanan berkurang lima kali. Uji Kendiri 1.2
Monthly water bill decreases five times.
1.1 2. y 1. (a) V berkurang 2 kali/V decreases 2 times
(b) V bertambah 4 kali/V increases 4 times
1. (a) (i) Jarak yang dilaluinya bertambah x 3 3 3 3 3 90 80
9 kali. 2. (a) p = h (b) w = t 2
The distance travelled increases 9 times. y 3. (a)
(ii) Jarak yang dilaluinya berkurang Nilai x ialah satu pemalar. Maka, y H R 60 60 60 60 60
16 kali. berubah secara langsung dengan x.
The distance travelled decreases 16 times. y Hasil darab H R adalah suatu pemalar.
(b) (i) Lajunya bertambah 2 kali. The value of x is a constant. Thus, y varies 1
Its speed increases 2 times. directly as x. Maka, H ∝ .
(ii) Lajunya berkurang 6 kali. 2 1 3 R
Its speed decreases 6 times. 3. (a) T = 5y (b) V = m The product H R is a constant. Thus,
3
2. (a) y 4. (a) g = 3 h (b) 256 H ∝ 1 .
x 3 3 3 3 3 5. (a) b = 8ac 2 (b) h = s t 9 R
1 3
y berubah secara langsung dengan x. 6. (a) l = 20mn 2 (b) 224 2 (b) 4
y varies directly as x. 3 1
(b) y 11 19 23 (c) 1 (d) 5, –5 4. (a) z = 8m 2 (b) 6
x 7 3 3 7 9 4 84
7. (a) l = 25.6T (b) 1.5 5. (a) s = r 3
2
y tidak berubah secara langsung 1 28
3
dengan x. 8. (a) r = xy z 3 (b) (i) 9 (ii) 6
2
y does not vary directly as x. 2
1 (b) (i) 15 (ii) 1 48
3. (a) w = 3.2z (b) w = z 8 6. (a) p = rs
6
5 2 1
(c) w = z 1.2 (b) (i) (ii)
12 5 2
3 1. (a) P bertambah 4 kali daripada 50 3 200
4. (a) u = q kepada 200. 7. (a) g =
8 ty 3
P increases 4 times from 50 to 200.
(b) (i) 69 (ii) 94.4 (b) P berkurang 25 kali daripada 50 (b) (i) 1.25 (ii) 2
5
5. (a) z = w (b) 78 kepada 2. 18
2 P decreases 25 times from 50 to 2. 8. (a) h = (b) 84
6. (a) (c) Q berkurang 2 kali daripada 10 kepada 5. mw
q
Q decreases 2 times from 10 to 5.
p 2 4 4 4 4 4 (d) Q bertambah 5 kali daripada 1 kepada 5. 1.3
z
3
2
a
Q increases 5 times from 1 to 5.
(c) w = 7q ©PAN ASIA PUBLICATIONS
2
q berubah secara langsung dengan p .
(b)
1. (a) v ∝
l ∝
5
q varies directly as p . 2 2. (a) xy 16 16 16 16 16 u n
(b) q 1 1 3 5 (c) m ∝ ab 2 (d) x ∝ t y
c
r
3
p 2 4 2 4 1 4 y berubah secara songsang dengan x. 3MN 5ST 2
y varies inversely as x.
q tidak berubah secara langsung (b) 2. (a) H = L 2 (b) Q = 2 R
3
2
dengan p . xy 1 9 25 36 64 x v
q does not vary directly as p . 2 y tidak berubah secara songsang 3. (a) w = 4y (b) 32
7. (a) y ∝ x 2 y = kx 2 dengan x. 3V
y does not vary inversely as x.
(b) H ∝ R 3 H = kR 3 8 25 4. (a) h = A 3 (b) 350
(c) t ∝ z t = k z 3. (a) y = x (b) l = 4w 5. (a) a = 2 b
c
2
10
1 (c) t = 3m (b) (i) 1 (ii) 1 000
8. (a) Q = S 3 9
2 10 231
(b) (i) 500 (ii) 1 4. (a) s = t (b) W = P Uji Kendiri 1.3
2
2
2
9. (a) C ∝ g n C = kg n 5. (a) G = 102 (b) 5.1 1. (a) F ∝ r (b) m 3
N
(b) h ∝ rq 3 h = krq 3 6. (a) x y s u ∝ 3 t
2
3
(c) w ∝ abc w = kabc 120 180 240 300 360 (c) x ∝ pw 2 (d) Q ∝ R T
(d) z ∝ p q r 2 z = kp q r 2 y tidak berubah secara songsang 4t y Y
2
dengan x .
10. (a) z = 3xy y does not vary inversely as x . 2 2. (a) z = u (b) 108
3
(b) y = 6t s (b) x y 18 18 18 18 18 2p 3
2
2 n 3. (a) l = r
11. (a) x = 18at y berubah secara songsang dengan x . 2 (b) (i) 97.2 (ii) 576
2
(b) (i) 567 (ii) 2 y varies inversely as x .
1 162 V 4
2
12. (a) V = PQ S 7. (a) P = 3 (b) 2 4. (a) I = (b) Amperes
2 Q R 3
(b) (i) 270 (ii) 7 48
13. (a) l = 6x 2 (b) 2 8. (a) p = rs (b) 8 Soalan Berformat SPM
14. (a) H = 2.5pl (b) 27 50 Kertas 1/Paper 1
9. (a) y = (b) 100 1. B 2. A 3. D 4. C 5. D
Uji Kendiri 1.1 3w x 6. C 7. A 8. B 9. C 10. A
2
1. (a) Bil air bulanan bertambah dua kali. 10. (a) h = 200 (b) 6 11. B 12. C 13. C 14. A 15. C
Monthly water bill increases two times. j 16. A 17. A 18. C
J-1
JawMurid ModulA+ Matematik Tg5.indd 1 21/10/2021 4:18 PM