EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
[
7
2
]
-5/3
=
(i)
7
-4
(ii)
(
-10
3
)
9
(iii)
(
-10
3
)
5
(iv)
(
-10
3
)
7
(v)
(
-16
5
)
7
Question
2
2.
[
-2
(
6
2
)
✕
-2
(
5
3
)
]
÷
[
2
(
2
6
)
✕
2
(
3
5
)
]
=
(i)
(-1)
(ii)
6
2
(iii)
5
3
(iv)
0
(v)
1
Question
3
3.
-4
(
1
2
)
+
-4
(
1
5
)
+
-3
(
1
4
)
=
(i)
704
(ii)
705
(iii)
708
(iv)
706
(v)
703
Question
4
4.
(
(
m
2
)
(-6)
)
3
=
(i)
m
(-9)
(ii)
m
(-36)
(iii)
m
(-1)
(iv)
m
(-15)
(v)
m
5
Question
5
5.
Simplify
√
49
−
√
144
√
100
+
√
25
=
(i)
(
-7
15
)
(ii)
(
-1
3
)
(iii)
(
-5
13
)
(iv)
(
-5
17
)
(v)
(
-1
5
)
Question
6
6.
(
5
4
)
5
(
-5
2
)
5
=
(i)
(
7
2
)
5
(ii)
(
15
4
)
2
(iii)
(
9
2
)
5
(iv)
(
15
4
)
8
(v)
(
15
4
)
5
Question
7
7.
Expand the following base power
(-3)
-4
(i)
(
-1
3
)
(ii)
1
81
(iii)
(
-1
243
)
(iv)
1
1296
(v)
(
-1
27
)
Question
8
8.
Simplify
5
-3
✕
(-4)
-2
✕
(-2)
-3
✕
(-4)
-2
(-4)
-2
✕
(-2)
-3
✕
(-2)
-3
(i)
-1
✕
1
2
✕
8
3
(ii)
(-1)
2
✕
1
2
✕
5
3
(iii)
-1
✕
1
2
✕
2
3
(iv)
-2
✕
1
2
✕
5
3
(v)
-1
✕
1
2
✕
5
3
Question
9
9.
The value of
2
(
-1
2
)
✕
3
(
3
2
)
(i)
9
10
(ii)
25
32
(iii)
2
(
27
32
)
(iv)
27
32
(v)
29
32
Question
10
10.
Find the
5th
root
of
(
-32
243
)
(i)
-2
(ii)
0
(iii)
(
-4
3
)
(iv)
(
-2
3
)
(v)
(
-2
5
)
Question
11
11.
If
5292
=
j
2
✕
k
3
✕
l
2
, find
j
,
k
,
l
(i)
(2,3,8)
(ii)
(2,3,7)
(iii)
(2,4,7)
(iv)
(3,3,7)
(v)
(3,3,6)
Question
12
12.
The value of
-3
(
-2
3
)
−
-3
(
-1
3
)
(i)
63
2
(ii)
191
8
(iii)
187
8
(iv)
2
(
189
8
)
(v)
189
8
Question
13
13.
Expand the following base power
2
4
(i)
256
(ii)
16
(iii)
1
(iv)
8
(v)
32
Question
14
14.
(
1
2
g
h
i
)
✕
(
−
6
h
3
i
10
)
✕
(
−
7
2
i
7
)
=
(i)
49
8
i
18
g
h
8
(ii)
21
2
g
h
4
i
18
(iii)
21
2
g
h
11
i
21
(iv)
−
3
g
h
4
i
11
(v)
−
147
2
h
10
i
27
Question
15
15.
(
q
5
)
(
r
+
8
)
=
(i)
q
(
r
+
18
)
(ii)
q
(
r
+
45
)
(iii)
q
(
5
r
−
40
)
(iv)
q
(
5
r
+
13
)
(v)
q
(
5
r
+
40
)
Question
16
16.
(
i
10
i
6
)
4
=
(i)
i
16
(ii)
4
i
4
(iii)
i
240
(iv)
i
64
(v)
4
i
16
Question
17
17.
The value of
4
-2
÷
(-5)
-2
(i)
2
(
25
16
)
(ii)
25
16
(iii)
23
16
(iv)
25
14
(v)
27
16
Question
18
18.
Find the
cube root
of
1
27
(i)
1
5
(ii)
1
3
(iii)
1
(iv)
(
-1
3
)
Question
19
19.
Evaluate
(
i
1
2
+
j
1
2
)
(
i
1
2
−
j
1
2
)
=
(i)
(
i
+
j
)
2
(ii)
0
(iii)
1
(iv)
(
i
+
j
)
(v)
(
i
−
j
)
Question
20
20.
5
s
(-3)
9
x
(-10)
=
(i)
5
x
10
9
s
3
(ii)
5
x
(-10)
9
s
(-3)
(iii)
5
s
10
9
x
3
(iv)
9
x
10
5
s
3
(v)
9
x
(-10)
5
s
(-3)
Question
21
21.
The value of
4
-3
+
5
-2
(i)
89
1598
(ii)
89
1600
(iii)
91
1600
(iv)
87
1600
(v)
2
(
89
1600
)
Question
22
22.
The value of
2
(
3
2
)
+
2
(
4
3
)
(i)
49
12
(ii)
145
34
(iii)
2
(
145
36
)
(iv)
145
36
(v)
143
36
Question
23
23.
Simplify
(
u
m
u
n
)
o
(
u
n
u
o
)
m
(
u
o
u
m
)
n
(i)
u
(ii)
0
(iii)
-1
(iv)
1
(v)
u
(
m
+
n
+
o
)
Question
24
24.
The value of
-3
(
-2
3
)
+
-3
(
5
2
)
(i)
(
-3311
998
)
(ii)
2
(
-3311
1000
)
(iii)
(
-3313
1000
)
(iv)
(
-3311
1000
)
(v)
(
-3309
1000
)
Question
25
25.
Find the value of
(
4
3
)
(-125)
(i)
624
(ii)
625
(iii)
628
(iv)
622
(v)
626
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (ii)
5) (ii)
6) (v)
7) (ii)
8) (v)
9) (iv)
10) (iv)
11) (ii)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (ii)
18) (ii)
19) (v)
20) (i)
21) (ii)
22) (iv)
23) (iv)
24) (iv)
25) (ii)
