EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
5
-3
5
4
=
(i)
5
-8
(ii)
7
-7
(iii)
3
-7
(iv)
5
-7
(v)
5
-6
Question
2
2.
If
4
k
=
64
, find
k
(i)
2
(ii)
1
(iii)
5
(iv)
3
(v)
4
Question
3
3.
7
h
8
.
5
h
3
.
3
h
4
.
2
h
7
=
(i)
210
h
22
(ii)
14
h
168
(iii)
15
h
70
(iv)
14
h
15
(v)
70
h
168
Question
4
4.
If
4096
(
e
+
1
)
=
64
3
e
, find
e
(i)
4
(ii)
(-1)
(iii)
1
(iv)
2
(v)
3
Question
5
5.
The value of
(-3)
2
+
(-4)
2
(i)
25
2
(ii)
25
(iii)
24
(iv)
28
(v)
22
Question
6
6.
[
(-5)
-4
]
-5
=
(i)
(-5)
19
(ii)
(-2)
20
(iii)
(-5)
20
(iv)
(-5)
21
(v)
(-7)
20
Question
7
7.
3
b
2
.
6
b
6
.
8
b
8
=
(i)
17
b
16
(ii)
144
b
96
(iii)
16
b
144
(iv)
17
b
96
(v)
144
b
16
Question
8
8.
[
(-2)
2
]
5/3
=
(i)
1
(ii)
(
10
3
)
(-2)
(iii)
(
10
3
)
(-4)
(iv)
(-2)
4
(v)
(
16
5
)
(-2)
Question
9
9.
[
(
5
4
)
]
-4/3
5
=
(i)
(
-5
3
)
2
(ii)
5
-3
(iii)
(
-7
5
)
5
(iv)
(
-5
3
)
8
(v)
(
-5
3
)
5
Question
10
10.
(
1
2
f
g
h
)
✕
(
8
g
4
h
6
)
✕
(
−
7
8
h
10
)
=
(i)
4
f
g
5
h
7
(ii)
−
7
2
f
g
15
h
13
(iii)
49
8
g
14
h
22
(iv)
49
128
h
17
f
g
11
(v)
−
7
2
f
g
5
h
17
Question
11
11.
(
e
6
)
(
f
+
5
)
=
(i)
e
(
6
f
−
30
)
(ii)
e
(
f
+
36
)
(iii)
e
(
f
+
17
)
(iv)
e
(
6
f
+
30
)
(v)
e
(
6
f
+
11
)
Question
12
12.
Find the
5th
root
of
32
243
(i)
4
3
(ii)
2
3
(iii)
2
5
(iv)
2
(v)
0
Question
13
13.
(
r
6
)
3
=
(i)
r
9
(ii)
r
(-3)
(iii)
r
6
(iv)
r
18
(v)
3
r
6
Question
14
14.
Evaluate
(
i
2
+
j
2
)
(
i
4
−
i
2
j
2
+
j
4
)
=
(i)
i
6
−
j
6
(ii)
i
6
+
j
6
(iii)
0
(iv)
i
6
+
2
j
2
i
4
+
2
j
4
i
2
+
j
6
(v)
i
6
−
2
j
2
i
4
+
2
j
4
i
2
−
j
6
Question
15
15.
The value of
-3
(
-4
3
)
+
-3
(
3
2
)
(i)
2
(
-217
1728
)
(ii)
(
-217
1728
)
(iii)
(
-73
576
)
(iv)
(
-217
1726
)
(v)
(
-215
1728
)
Question
16
16.
Simplify
(
x
c
x
d
)
(
c
+
d
)
(
x
d
x
e
)
(
d
+
e
)
(
x
e
x
c
)
(
e
+
c
)
(i)
1
(ii)
0
(iii)
-1
(iv)
x
(
c
+
d
+
e
)
(v)
x
Question
17
17.
If
p
1
3
+
q
1
3
+
r
1
3
= 0, then
(i)
(
p
+
q
+
r
)
3
=
27
p
q
r
(ii)
(
p
+
q
+
r
)
=
27
p
q
r
(iii)
(
p
+
q
+
r
)
=
3
p
q
r
(iv)
(
p
+
q
+
r
)
=
3
p
1
3
q
1
3
r
1
3
Question
18
18.
If
826875
=
7
m
✕
3
n
✕
5
o
, find
m
,
n
,
o
(i)
(2,3,5)
(ii)
(2,3,4)
(iii)
(3,3,3)
(iv)
(2,4,4)
(v)
(3,3,4)
Question
19
19.
Simplify
(-2)
2
✕
(-4)
-3
✕
3
3
(-5)
3
✕
(-5)
2
✕
3
-2
(i)
3
4
2
4
✕
5
5
(ii)
3
5
(-1)
4
✕
5
5
(iii)
3
6
2
4
✕
5
5
(iv)
3
5
2
4
✕
8
5
(v)
3
5
2
4
✕
5
5
Question
20
20.
Evaluate
(
p
1
3
−
q
1
3
)
(
p
2
3
+
p
1
3
q
1
3
+
q
2
3
)
=
(i)
p
+
q
(ii)
(
p
+
q
)
2
(iii)
p
−
q
(iv)
(
p
−
q
)
2
(v)
0
Question
21
21.
The value of
-3
(
-1
3
)
−
-3
(
-1
3
)
(i)
-3
(ii)
-1
(iii)
0
(iv)
2
Question
22
22.
Find the
4th
root
of
16
(i)
4
(ii)
3
(iii)
-1
(iv)
2
(v)
1
Question
23
23.
Evaluate
(
m
2
−
1
)
(
m
4
+
m
2
+
1
)
=
(i)
m
6
−
2
m
2
+
1
(ii)
m
6
+
2
m
4
+
2
m
2
+
1
(iii)
m
6
+
2
m
4
−
1
(iv)
0
(v)
m
6
−
1
Question
24
24.
Evaluate
(
e
1
3
+
f
1
3
)
(
e
2
3
−
e
1
3
f
1
3
+
f
2
3
)
=
(i)
e
−
f
(ii)
(
e
−
f
)
2
(iii)
(
e
+
f
)
2
(iv)
0
(v)
e
+
f
Question
25
25.
(
2
a
.
b
(-3)
)
-3
=
(i)
a
9
8
b
(-3)
(ii)
−
6
b
9
−
3
a
(-3)
(iii)
b
9
.
8
a
(-3)
(iv)
2
b
9
a
(-3)
(v)
b
9
8
a
3
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (iv)
5) (ii)
6) (iii)
7) (v)
8) (ii)
9) (v)
10) (v)
11) (iv)
12) (ii)
13) (iv)
14) (ii)
15) (ii)
16) (i)
17) (iv)
18) (ii)
19) (v)
20) (iii)
21) (iii)
22) (iv)
23) (v)
24) (v)
25) (v)
