EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the exponential notation of
12
✕
12
✕
12
✕
12
✕
12
✕
12
✕
12
✕
12
(i)
12
7
(ii)
12
8
(iii)
15
8
(iv)
9
8
(v)
12
9
Question
2
2.
Simplify
√
9
−
√
36
√
16
+
√
121
=
(i)
(
-1
3
)
(ii)
(
-1
15
)
(iii)
(
-3
17
)
(iv)
(
-1
5
)
(v)
(
-3
13
)
Question
3
3.
The smallest number by which 108 must be multiplied so that the product is a perfect cube is?
(i)
1
(ii)
3
(iii)
4
(iv)
0
(v)
2
Question
4
4.
Find the exponential notation of
-4
✕
-4
✕
-4
✕
-4
✕
-4
✕
-4
✕
-4
✕
-4
(i)
(-4)
9
(ii)
(-4)
8
(iii)
(-1)
8
(iv)
(-4)
7
(v)
(-6)
8
Question
5
5.
Find the greatest 3 digit number which is a perfect square?
(i)
959
(ii)
963
(iii)
961
(iv)
962
(v)
960
Question
6
6.
Simplify
3
√
343
+
3
√
1000
3
√
729
−
3
√
216
=
(i)
17
(ii)
17
5
(iii)
17
3
(iv)
5
(v)
19
3
Question
7
7.
Find the
square root
of
1
9
(i)
1
5
(ii)
(
-1
3
)
(iii)
1
(iv)
1
3
Question
8
8.
-1
9
=
(i)
0
(ii)
∞
(iii)
undefined
(iv)
-1
(v)
1
Question
9
9.
Find the smallest 4 digit number which is a perfect square?
(i)
1024
(ii)
1025
(iii)
1023
(iv)
1021
(v)
1026
Question
10
10.
5
0
=
(i)
undefined
(ii)
1
(iii)
0
(iv)
-1
(v)
∞
Question
11
11.
Which of the following is not a perfect cube?
(i)
729
(ii)
346
(iii)
512
(iv)
8
(v)
125
Question
12
12.
Find the smallest perfect square which is divisible by each of the numbers 16,8,10
(i)
800
(ii)
400
(iii)
1280
(iv)
641
(v)
402
Question
13
13.
If a number has 1 zeros at the end, its square has how many zeros?
(i)
2
(ii)
3
(iii)
(-1)
(iv)
4
(v)
1
Question
14
14.
Find the
cube root
of
-64
(i)
-1
(ii)
-4
(iii)
-3
(iv)
-5
(v)
-6
Question
15
15.
How many digits are there in the square root of 912025?
(i)
2
(ii)
4
(iii)
3
(iv)
6
(v)
0
Question
16
16.
Find the exponential notation of
3
✕
3
✕
3
✕
3
✕
3
✕
3
✕
3
✕
3
(i)
3
8
(ii)
3
9
(iii)
3
6
(iv)
3
7
(v)
5
8
Question
17
17.
Find the greatest 2 digit number which is a perfect square?
(i)
80
(ii)
81
(iii)
79
(iv)
83
(v)
82
Question
18
18.
Find the smallest 2 digit number which is a perfect square?
(i)
14
(ii)
17
(iii)
18
(iv)
16
(v)
15
Question
19
19.
0
5
=
(i)
-1
(ii)
0
(iii)
∞
(iv)
undefined
(v)
1
Question
20
20.
The smallest number by which 27 must be multiplied so that the product is a perfect square is?
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
6
Question
21
21.
Find the least number that must be subtracted from 2125 to get a perfect square?
(i)
9
(ii)
6
(iii)
11
(iv)
8
(v)
10
Question
22
22.
The smallest number by which 128 must be divided so that the quotient is a perfect cube is?
(i)
0
(ii)
4
(iii)
1
(iv)
2
(v)
3
Question
23
23.
Find the
cube root
of
(
-8
27
)
(i)
-2
(ii)
(
-2
3
)
(iii)
(
-4
3
)
(iv)
(
-2
5
)
(v)
0
Question
24
24.
Find the smallest 5 digit number which is a perfect square?
(i)
10001
(ii)
9997
(iii)
10000
(iv)
9999
(v)
10002
Question
25
25.
Find the cube of
9
(i)
732
(ii)
84
(iii)
729
(iv)
81
(v)
726
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (ii)
5) (iii)
6) (iii)
7) (iv)
8) (iv)
9) (i)
10) (ii)
11) (ii)
12) (ii)
13) (i)
14) (ii)
15) (iii)
16) (i)
17) (ii)
18) (iv)
19) (ii)
20) (i)
21) (i)
22) (iv)
23) (ii)
24) (iii)
25) (iii)