Page 29 - PBD Plus Matematik T5 (EG)

Matematik Tingkatan 5 Bab 1 Ubahan
9. Ketumpatan suatu objek, V, berubah secara 14. Diberi bahawa A berubah secara langsung
langsung dengan jisim objek, m, dan dengan B dan secara songsang dengan C. Jika
secara songsang dengan isi padu objek, I. A = 6 apabila B = 4 dan C = 2, berapakah peratusan
Diberi V = 25 apabila m = 10 dan I = 0.1. Ungkapkan ubahan bagi A apabila B bertambah sebanyak
V dalam sebutan m dan I. sp 1.3.1 20% dan C berkurang sebanyak 40%?
Density of an object, V, varies directly as the mass of the object, Given that A varies directly as B and inversely as C. If A = 6 when
m, and inversely as the volume of the object, I. Given V = 25 B = 4 and C = 2, what is the percentage of the change of A when
when m = 10 and I = 0.1. Express V in terms of m and I. B increases by 20% and C decreases by 40%?
4m 25m sp 1.3.2 KBAT Menganalisis
A V = C V =
I I A –50% C 100%
m m B 50% D 200%
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B V = D V =
4I I
TIP Menjawab
10. Berdasarkan jadual berikut, nyatakan hubungan 1 Cari pemalar bagi hubungan antara A, B dan C.
antara W dan x. sp 1.1.2 Find the constant of the relationship between A, B and C.
Based on the table, state the relation between W and x. 2 Ungkapkan A dalam sebutan B dan C.
Express A in terms of B and C.
W 40 48 3 Hitung nilai A apabila B bertambah sebanyak 20%
x 100 144 dan C berkurang sebanyak 40%.
Calculate the value of A when B increases by 20% and C
decreases by 40%.
A W = 4x C W = √x 4 Tentukan peratusan ubahan bagi nilai A.
B W = 4x D W = 4√x Determine the percentage of the change of the value of A.
2
11. Bilangan liter cat, x, yang diperlukan untuk
mengecat satu dinding berubah secara langsung KERTAS 2
dengan luas dinding itu, y. Dicatatkan bahawa 5
liter cat diperlukan untuk mengecat satu dinding 1. Diberi bahawa m berubah secara songsang
yang seluas 40 m . Hitung luas dinding yang dengan punca kuasa dua n dan m = 3 apabila
2
dicat, dalam m , jika 28 liter cat digunakan. n = 36. sp 1.2.2
2
The number of litres of paint, x, used to paint a wall varies Given that m varies inversely as the square root of n and m = 3
directly as the area of the wall, y. It is recorded that 5 litres of when n = 36.
paint can cover a wall with an area of 40 m . Calculate the area (a) Ungkapkan m dalam sebutan n.
2
2
of wall painted, in m , if 28 litres of paint is used. sp 1.1.4 Express m in terms of n.
A 140 C 350 [2 markah / 2 marks]
B 224 D 714 (b) Hitung nilai n apabila m = 2.
12. Jadual di bawah menunjukkan nilai-nilai bagi Calculate the value of n when m = 2.
pemboleh ubah M dan N. sp 1.2.3 [2 markah / 2 marks]
The table shows the values of variables M dan N. (c) Hitung nilai m apabila n = 225.
Calculate the value of m when n = 225.
M a c [2 markah / 2 marks]
N b 5 Jawapan / Answer :

Diberi bahawa M berubah secara songsang (a) m ∝ 1
dengan N dan nilai ab ialah 10. Hitung nilai c. √n
It is given that M varies inversely as N and the value of ab is 10. k
Calculate the value of c. m = √n
A 2 C 10 k
B 5 D 50 3 =
√36
13. Pecutan, a, sebuah lori berubah secara langsung k = 18
dengan kuasa dua laju, v, dan secara songsang 18
dengan jarak, s, yang dilalui oleh lori tersebut. m = √n
Diberi bahawa a = 40 km j , v = 60 km j dan 18
−2
−1
s = 45 km. Hitung nilai s apabila a = 50 km j dan (b) 2 = √n
−2
−1
v = 80 km j . sp 1.3.2 √n = 9
Acceleration, a, of a lorry varies directly as the square of speed, v,
and inversely as the distance, s, travelled by the lorry. Given that n = 81
a = 40 km h , v = 60 km h and s = 45 km. Calculate the value 18
−2
−1
of s when a = 50 km h and v = 80 km h . (c) m =
−1
−2
A 45 km C 54 km √225
B 46 km D 64 km = 1.2
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