Page 28 - PBD Plus Matematik T5 (EG)

Matematik Tingkatan 5 Bab 1 Ubahan
praktis spM 1

Praktis Ekstra SPM 1
KERTAS 1

1. Luas bagi sebuah bulatan, L, berubah secara 6. Antara berikut, yang manakah mewakili
langsung dengan kuasa dua jejarinya, j. hubungan p ∝ √q (r)? sp 1.1.3
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Ungkapkan L dalam sebutan j. sp 1.1.2 Which of the following represents the relation p ∝ √q (r)?
Area of a circle, L, varies directly as the square of its radius, j. A
Express L in terms of j. p 18 96 270
A L = j C L = kj q 9 16 25
2
2
1 k
B L = D L = r 4 16 36
j 2 j 2
B p 18 96 270
2. Diberi p = 0.2 dan q = 0.1, hitung nilai q apabila
p = 5 jika p ∝ q. sp 1.1.2 q 3 4 5
Given p = 0.2 and q = 0.1, calculate the value of q when p = 5 r 4 16 36
if p ∝ q.
A 0.02 C 2 C p 18 96 270
B 0.04 D 2.5
q 9 16 25
3. x berubah secara songsang dengan y dan punca r 2 4 6
kuasa dua z. Hubungan antara pemboleh ubah x, D
y dan z boleh diwakilkan dengan persamaan p 18 96 270
x varies inversely as y and the square root of z. The relationship q 3 4 5
between variables x, y and z can be represented by the
equation sp 1.3.1 r 2 4 6
1 k
A x = C x = 7. Jadual berikut menunjukkan pemboleh ubah a,
y√z y√z
1 k b dan c. a berubah secara langsung dengan b
B x = D x = dan c. sp 1.1.3
√yz √yz The table shows the variables a, b dan c. a varies directly as b
and c.
4. Berdasarkan jadual berikut, nyatakan hubungan
a 3 10
antara s dan t. sp 1.2.2
Based on the table below, state the relation between s and t. b 2 4
c 3 x
1 2
s 2 5 Cari nilai x.
Find the value of x.
t 16 25 A 2 C 4
B 3 D 5
1 1
A s = C s =
t √t 8. Diberi lilitan bulatan berubah secara langsung
2 2 dengan diameter bulatan. Nyatakan perubahan
B s = D s = pada lilitan bulatan jika diameter bertambah dua
t √t
kali ganda. sp 1.1.1
5. Diberi g berubah secara langsung dengan h Given that the circumference of a circle varies directly as the
dan secara songsang dengan kuasa dua j, g = 3 diameter of the circle. State the change on the circumference of
the circle if the diameter is increased by two times.
3
apabila h = 12 dan j = 6. Cari nilai j apabila g = A Lilitan bulatan tidak berubah.
2
dan h = 6. sp 1.3.1 The circumference of the circle remains unchanged.
Given that g varies directly as h and inversely as the square of B Lilitan bulatan berkurang dua kali ganda.
3
j, g = 3 when h = 12 and j = 6. Find the value of j when g = The circumference of the circle decreases by two times.
and h = 6. 2 C Lilitan bulatan bertambah 2 cm.
A 6 C 18 The circumference of the circle increases by 2 cm.
B 12 D 24 D Lilitan bulatan bertambah dua kali ganda.
The circumference of the circle increases by two times.

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