It is given that 2 t = 2 048. The value of t is A 9 B 10 C 11 D 13
8.
If
Tuition Drill Form 3 Chapter 5 : Indices Objective Questions
1.
2.
A B C D
3.
3 4 5 6
B C D
Index 5 10 2 15
A rectangular pool has a length of 216 m, a width 3 of 36 m and a depth of 6 m. The volume, in m , of the pool is 12 A 3 B 66 5 C 7 12 D 2
3
3
9.
3 ×3 = 6 A 3 B 39 C 69 6 D 9
10.
6 × 10 × 10 × 6 × 10 = 17 36 A 6 × 10 25 28 B 6 × 10 29 25 C 6 × 10 D 636 × 1017
Which of the following is correct? Base 3 8 12 3
6
m
× 12 = 288, then the value of m is
A
Which of the following is correct? 4 A a =a×a×a×a 4 B a =4×a×a×a×a 4 a =a+a+a+a C D (– a )4 = – a × a × a × a
Number 3 5 108 212 315
1
11.
6
1 2
7
2
a ×
A B C D
3
4.
3 2 = 5 A
B
C
D
2 6 8
5
6.
92 + 94 = A 5 224 B 6 561 C 6 642 D 531 441
4
14.
Which of the following is correct? 7 4 7 10 3 10 14 A f × 2h × h × 12 f = 21 f h 8 1 2 B 2 y5 × w6 × y3 × 9w6 = y8w12 3 3 1 4 4 9 13 6 C 6 p × m × 5m × p = 15 p m 2 3 3 8 2 6 6 14 D g × 2t × g × 8t = g t 4
125 7
5 2 4 3 2a b c 2 4 2 25a b c 50a2b4c3 36a2b3c2
If 74 × 58 × 7 × 53 = 7m × 5n, then A m = 3, n = 11 m = 4 , n = 11 B C m = 5, n = 11 D m = 12 , n = 4
72
The value of (–2) – (–3) is A –371 B –115 C 115 D 371
3
b × 125c =
13.
125
5.
14
2 ×3 = A 648 B 724 C 842 D 2 187
15 3
17
4
11
12.
9
5 27
3
4
15
15.
Which of the following is equal to xa – b? b a A x ÷ x a b B x ÷ x a b C x × x a b D x × x
16.
14 ÷ 14 = A 176 B 196 C 216 D 224
17.
Which of the following is 6 3 A a ÷a 15 12 a ÷ a B 18 15 C a ÷a 12 4 a ÷a D
18.
78s ÷ 6s = A 13s2 B 17s2 5 C 13s 5 D 17s
19.
5
3
10
not
equal to a3?
23.
(m4n)3 × mn2 = 5 5 A mn 12 3 m n B 13 2 C m n 13 5 D m n
24.
(t ) ÷ t = 2 A t 3 B t 5 C t 11 D t
25.
m s ÷m s= 5 2 A ms 5 4 ms B 7 2 C ms m11s4 D
5
28k 24
26.
=
42k 18
2
A
3 3
B
6
k
27.
6
k
4 3 8 k 4 8 8 k 9
C
D
2 4
3
8 3
3
1 5 2 ( y)(3 y ) = 6 11 A y 3 11 B y 2 1 8 C y 2 1 15 D y 6 (5 p6s3)2 ÷ ( p2s)5 × (2 p3s2)2 = 25 8 4 A p s 4 25 B
4 p 4 s 3 100 p 8
C 20.
Which of the following is 14
A
20
B
4
32 p ÷ 18 p = 81t 12 ÷ 18t 2 =
C
5 16 9
9
D 6
w
28.
Which of the following values is
p
A
equal to 2?
8 22 × 2–1 0 2 ×2
B
10
t
not
1 3
16
C
2
D
1
−
2
4 4
(2 ) = 28 216 44 2 256 2
A B C D
29.
–3
5
5
2
2 ×3 = 1 A
B 22.
s5 100 p8s5
correct?
2 60 x21 ÷ 5 x7 = 12 x3
D 21.
2
6
10w ÷ 25w =
not
6 3
(3 × 10 × 2 ) = 6 17 8 A 3 ×2 ×5 9 33 15 B 3 ×2 ×5 C 39 × 251 × 515 27 33 15 D 3 ×2 ×5
C
6 1 5 8 9
D
30.
27 A
1 2 3
B
y y y
× 49 1
A
40.
C
D
= 41.
4 3
C
−
3 A
B C
6 × 81
−
4
3 4
=
42.
1 729 1
–3 8
(kh ) ÷ (k h ) = 4 A h 20 B h 1
7
34 × 3
–20 1 5 20
C 3 2
D 35.
–10
w 2 Given that 7 = wn, then n = w B
7
D
7 3
A
7 1
B
3
4
( x3 y2)4 ÷ y–3 = 7 3 A x y x7 y11 B 12 5 C x y 12 11 D x y –3
8
( f g ) × fg = 10 11 f g A 9 31 B f g 10 –11 C f g 7 11 D f g
2 2 3
7 ×7
–3
39.
–7
1 2
r
Given that 3 ÷ 3 = 3 , then r = A –24 B –11 C 5 D 11
×2 = 1
D
5
38.
4 p 2 q 8
C
5
8n18
D
4 1
2
8n 22
C
1
B
5 –4
2n 22
q8
A
+ 64 .
y 5
2 p
1 3
5 6
6n14
p 2
D
2 ×8
0 6 3
A
2q 4
C
1
(2 y n ) ÷ y n =
4
B
34.
D 37.
−
19 35 45 67
C
(2 p ) (q ) = 1 4 A q 4
5
1 Calculate the value of 3 B
3 3 0 –2
729
A
9 1
D
33.
36.
3 5
27 1
C
32.
8
÷ 243 1
B
31.
D
1
k 6 h 4 6 4 k h
9 Calculate the value of 100 9
3 2
1 ÷ 9
−
1 2
.
A
1000
243 243
B
81 1 000
9
C
100 27
D
C
D
49.
100 43.
(8m3 y–4)2 ÷ (4m–2 y3)3 =
2
A
10g3w10 3 11 25g w
30 × (2 y2)4 × y–5 = A 8 y 3 B 2 y 3 C 16 y D 16 y13
