EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Simplify
√
121
−
√
49
√
9
+
√
100
=
(i)
4
11
(ii)
2
13
(iii)
6
13
(iv)
4
13
(v)
4
15
Question
2
2.
Find the exponential notation of
15
✕
15
✕
15
✕
15
(i)
17
4
(ii)
15
3
(iii)
15
5
(iv)
15
4
(v)
12
4
Question
3
3.
-4
0
=
(i)
-1
(ii)
1
(iii)
undefined
(iv)
0
(v)
∞
Question
4
4.
3
√
0.0640
=
(i)
0.3
(ii)
0.5
(iii)
0.6
(iv)
0.4
(v)
0.04
Question
5
5.
√
0.6400
=
(i)
0.8
(ii)
0.08
(iii)
1
(iv)
0.9
(v)
0.7
Question
6
6.
Simplify
3
√
729
+
3
√
1728
3
√
125
−
3
√
27
=
(i)
19
2
(ii)
23
2
(iii)
21
(iv)
21
4
(v)
21
2
Question
7
7.
The smallest number by which 98 must be multiplied so that the product is a perfect square is?
(i)
5
(ii)
3
(iii)
(-1)
(iv)
1
(v)
2
Question
8
8.
Find the smallest 3 digit number which is a perfect square?
(i)
102
(ii)
100
(iii)
99
(iv)
98
(v)
101
Question
9
9.
Which of the following is not a perfect square?
(i)
840
(ii)
625
(iii)
900
(iv)
841
(v)
529
Question
10
10.
√
169
16
=
(i)
15
4
(ii)
13
4
(iii)
13
2
(iv)
11
4
(v)
13
6
Question
11
11.
The smallest number by which 128 must be divided so that the quotient is a perfect square is?
(i)
2
(ii)
1
(iii)
3
(iv)
5
(v)
0
Question
12
12.
Find the
cube root
of
1
64
(i)
3
4
(ii)
1
4
(iii)
(
-1
4
)
(iv)
1
2
(v)
1
6
Question
13
13.
Find the least number that must be added to 1668 to get a perfect square?
(i)
12
(ii)
13
(iii)
14
(iv)
11
(v)
16
Question
14
14.
Find the cube root of
125
(i)
25
(ii)
2
(iii)
8
(iv)
28
(v)
5
Question
15
15.
The smallest number by which 32 must be multiplied so that the product is a perfect cube is?
(i)
1
(ii)
4
(iii)
0
(iv)
3
(v)
2
Question
16
16.
Which of the following is a perfect cube?
(i)
344
(ii)
1003
(iii)
64
(iv)
727
(v)
511
Question
17
17.
What is the unit place digit in the square of 3?
(i)
5
(ii)
6
(iii)
9
(iv)
7
(v)
4
Question
18
18.
How many digits are there in the square root of 68644?
(i)
2
(ii)
4
(iii)
3
(iv)
5
(v)
1
Question
19
19.
Find the greatest 3 digit number which is a perfect square?
(i)
960
(ii)
962
(iii)
963
(iv)
959
(v)
961
Question
20
20.
Which of the following is not a perfect cube?
(i)
27
(ii)
8
(iii)
219
(iv)
343
(v)
729
Question
21
21.
-1
8
=
(i)
∞
(ii)
0
(iii)
undefined
(iv)
1
(v)
-1
Question
22
22.
Which of the following is a perfect square?
(i)
1684
(ii)
782
(iii)
577
(iv)
49
(v)
1848
Question
23
23.
Find the exponential notation of
-10
✕
-10
✕
-10
✕
-10
✕
-10
✕
-10
(i)
(-7)
6
(ii)
(-10)
7
(iii)
(-10)
6
(iv)
(-10)
5
(v)
(-12)
6
Question
24
24.
Find the square root of
92.56
(i)
11.62
(ii)
9.62
(iii)
10.62
(iv)
7.62
(v)
8.62
Question
25
25.
How many digits are there in the square root of 676?
(i)
0
(ii)
2
(iii)
4
(iv)
3
(v)
1
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (iv)
5) (i)
6) (v)
7) (v)
8) (ii)
9) (i)
10) (ii)
11) (i)
12) (ii)
13) (ii)
14) (v)
15) (v)
16) (iii)
17) (iii)
18) (iii)
19) (v)
20) (iii)
21) (iv)
22) (iv)
23) (iii)
24) (ii)
25) (ii)