EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
3
d
(-10)
5
g
(-8)
=
(i)
3
g
8
5
d
10
(ii)
3
d
8
5
g
10
(iii)
3
g
(-8)
5
d
(-10)
(iv)
5
g
8
3
d
10
(v)
5
g
(-8)
3
d
(-10)
Question
2
2.
(
g
24
g
)
4
=
(i)
g
(
24
g
+
4
)
(ii)
4
g
96
g
(iii)
g
96
g
(iv)
g
24
g
Question
3
3.
0
0
=
(i)
undefined
(ii)
∞
(iii)
0
(iv)
-1
(v)
1
Question
4
4.
[
2
]
-2/5
(
9
7
)
=
(i)
(
-4/5
)
(
11
7
)
(ii)
1
(iii)
(
-4/5
)
(
9
7
)
(iv)
(
-4/3
)
(
9
7
)
(v)
(
-4/7
)
(
9
7
)
Question
5
5.
If
4
(
7
g
+
2
)
=
16
(
3
g
+
4
)
, find
g
(i)
9
(ii)
5
(iii)
7
(iv)
4
(v)
6
Question
6
6.
Find the
square root
of
25
9
(i)
1
(ii)
5
3
(iii)
5
(iv)
7
3
Question
7
7.
Find the value of
(
-4
5
)
32
(i)
(
-1
16
)
(ii)
1
16
(iii)
1
18
(iv)
1
14
(v)
3
16
Question
8
8.
The value of
(-3)
3
✕
(-2)
3
(i)
216
(ii)
213
(iii)
219
(iv)
215
(v)
216
2
Question
9
9.
The multiplicative inverse of
2
(
1
8
)
is
(i)
0
(ii)
-2
(
1
8
)
(iii)
8
-2
(iv)
2
(
-1
8
)
(v)
1
Question
10
10.
The value of
-2
(
3
2
)
−
-3
(
3
2
)
(i)
4
25
(ii)
2
27
(iii)
4
27
(iv)
2
(
4
27
)
(v)
2
9
Question
11
11.
6
8
6
-7
=
(i)
6
15
(ii)
9
15
(iii)
6
14
(iv)
6
16
(v)
3
15
Question
12
12.
Find the
4th
root
of
625
(i)
3
(ii)
7
(iii)
5
(iv)
6
(v)
4
Question
13
13.
Evaluate
(
g
1
3
+
h
1
3
)
(
g
2
3
−
g
1
3
h
1
3
+
h
2
3
)
=
(i)
(
g
−
h
)
2
(ii)
g
−
h
(iii)
0
(iv)
g
+
h
(v)
(
g
+
h
)
2
Question
14
14.
The value of
5
-3
✕
5
-2
(i)
3125
-1
(ii)
3126
-1
(iii)
3122
-1
(iv)
3125
-2
(v)
3128
-1
Question
15
15.
If
16
(
u
+
11
)
=
256
16
=
4
v
, find
v
(i)
63
(ii)
66
(iii)
65
(iv)
62
(v)
64
Question
16
16.
3
√
2.1970
=
(i)
1.2
(ii)
1.4
(iii)
1.3
(iv)
0.13
(v)
1.5
Question
17
17.
(
x
)
(
q
−
r
)
.
(
x
)
(
r
−
s
)
.
(
x
)
(
s
−
q
)
=
(i)
1
(ii)
2
(iii)
(-2)
(iv)
0
(v)
4
Question
18
18.
Simplify
3
2
✕
(-2)
-2
✕
(-4)
-2
(-3)
2
✕
(-5)
-2
✕
(-4)
-2
(i)
5
2
(ii)
2
(
7
2
)
(iii)
2
(
5
2
)
(iv)
2
(
3
2
)
(v)
3
(
5
2
)
Question
19
19.
The value of
2
(
-5
3
)
✕
3
(
-1
3
)
(i)
(
-25
241
)
(ii)
(
-1
9
)
(iii)
2
(
-25
243
)
(iv)
(
-23
243
)
(v)
(
-25
243
)
Question
20
20.
Simplify
3
√
8
+
3
√
343
3
√
512
−
3
√
1728
=
(i)
(
-7
4
)
(ii)
(
-9
6
)
(iii)
(
-9
2
)
(iv)
(
-9
4
)
(v)
(
-11
4
)
Question
21
21.
Expand the following base power
4
-4
(i)
1
64
(ii)
1
1024
(iii)
1
1296
(iv)
1
256
(v)
1
16
Question
22
22.
-1
8
=
(i)
-1
(ii)
1
(iii)
undefined
(iv)
0
(v)
∞
Question
23
23.
If
a
(
v
−
1
)
=
b
c
,
b
(
w
−
1
)
=
c
a
,
c
(
x
−
1
)
=
a
b
then
a)
v
w
x
=
1
b)
(
v
+
w
+
x
)
=
1
c)
v
w
+
w
x
+
x
v
=
0
d)
v
w
+
w
x
+
x
v
=
v
w
x
e)
v
w
+
w
x
+
x
v
=
1
(i)
{d}
(ii)
{b,d}
(iii)
{a,d}
(iv)
{c,e,d}
Question
24
24.
Find the
square root
of
9
(i)
3
(ii)
1
(iii)
5
(iv)
4
(v)
2
Question
25
25.
e
13
f
14
e
4
f
5
=
(i)
e
9
f
9
(ii)
e
17
f
9
(iii)
e
17
f
19
(iv)
e
27
f
9
(v)
e
9
f
19
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (iii)
5) (v)
6) (ii)
7) (ii)
8) (i)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (iv)
14) (i)
15) (v)
16) (iii)
17) (i)
18) (iii)
19) (v)
20) (iv)
21) (iv)
22) (ii)
23) (i)
24) (i)
25) (i)
