Page 30 - PBD Plus Matematik T5 (EG)

Matematik Tingkatan 5 Bab 1 Ubahan
2. Jadual berikut menunjukkan hubungan antara Jawapan / Answer :
pemboleh ubah d, e dan f. sp 1.3.1 N
The table shows the relation between variables d, e and f. (a) J ∝
T 3
3 kN
d 6 9 y J = T 3
k(0.2)
e 3 x 5 0.4 = 2 3
k = 16
f 64 81 100
J = 16N
Diberi bahawa d berubah secara langsung T 3
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dengan kuasa dua e dan secara songsang dengan
punca kuasa dua f. 16(40)
Given that d varies directly as the square of e and inversely as (b) J = 4 3
the square root of f. J = 10
(a) Ungkapkan d dalam sebutan e dan f.
Express d in terms of e and f.
[2 markah / 2 marks]
(b) Hitung nilai x dan nilai y.
Calculate the value of x and of y. 4. Isi padu, V, sebuah kon berubah secara langsung
[4 markah / 4 marks] dengan kuasa dua jejari, j, dan tinggi, t, kon.
Jawapan / Answer : Volume, V, of a cone varies directly as the square of the radius, j,

and the height, t, of the cone. sp 1.1.4
e 2
(a) d ∝ (a) Nyatakan perubahan pada isi padu kon jika
√f tinggi kon berkurang separuh.
ke 2 State the change on the volume of the cone if the height
d =
√f of the cone is reduced by half.
k(3) 2 [1 markah / 1 mark]
6 = (b) Jika isi padu kon, V = 770 apabila j = 7 dan
√64
16 t = 15. Tulis hubungan antara V, j dan t dalam
k = bentuk persamaan.
3 If the volume of the cone, V = 770 when j = 7 and t = 15.
16e 2 Write the relation between V, j and t in equation form.
d =
3√f [2 markah / 2 marks]
(c) Hitung nilai j apabila V = 264 dan t = 28.
3 16x 2 Calculate the value of j when V = 264 and t = 28.
(b) =
9 3√81 [2 markah / 2 marks]
9 Jawapan / Answer :
x =
2
16 (a) Isi padu kon berkurang separuh.
3 The volume of the cone is reduced by half.
x = ±
4
2
(b) V ∝ j t
16(5) 2 V = kj t
2
y =
2
3√100 770 = k(7) (15)
40 22
y = k =
3 21
22
V = j t
2
21
N
3. Diberi J ∝ T 3 dan J = 0.4 apabila N = 0.2 dan T = 2.
2
N (c) 264 = 22 j (28)
Given J α and J = 0.4 when N = 0.2 and T = 2. sp 1.3.1 21
T 3 2
(a) Ungkapkan J dalam sebutan N dan T. j = 9
Express J in terms of N and T. j = 3
[2 markah / 2 marks]
(b) Cari nilai J apabila N = 40 dan T = 4.
Find the value of J when N = 40 and T = 4.
[2 markah / 2 marks]

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