EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following is not a perfect square?
(i)
897
(ii)
144
(iii)
576
(iv)
4
(v)
484
Question
2
2.
Find the
cube root
of
64
27
(i)
4
(ii)
4
3
(iii)
4
5
(iv)
2
3
(v)
2
Question
3
3.
Find the smallest 2 digit number which is a perfect square?
(i)
16
(ii)
13
(iii)
17
(iv)
18
(v)
15
Question
4
4.
10
0
=
(i)
-1
(ii)
0
(iii)
1
(iv)
undefined
(v)
∞
Question
5
5.
-1
3
=
(i)
0
(ii)
1
(iii)
∞
(iv)
-1
(v)
undefined
Question
6
6.
The smallest number by which 675 must be multiplied so that the product is a perfect square is?
(i)
4
(ii)
5
(iii)
3
(iv)
2
(v)
0
Question
7
7.
The smallest number by which 19208 must be divided so that the quotient is a perfect cube is?
(i)
8
(ii)
7
(iii)
6
(iv)
5
(v)
9
Question
8
8.
The smallest number by which 256 must be multiplied so that the product is a perfect cube is?
(i)
1
(ii)
4
(iii)
2
(iv)
3
(v)
0
Question
9
9.
Find the smallest 3 digit number which is a perfect square?
(i)
103
(ii)
100
(iii)
97
(iv)
99
(v)
101
Question
10
10.
Find the exponential notation of
14
✕
14
✕
14
✕
14
✕
14
✕
14
✕
14
(i)
14
8
(ii)
11
7
(iii)
17
7
(iv)
14
7
(v)
14
6
Question
11
11.
Find the smallest perfect square which is divisible by each of the numbers 8,12,16
(i)
577
(ii)
144
(iii)
288
(iv)
146
(v)
384
Question
12
12.
The smallest number by which 21296 must be divided so that the quotient is a perfect square is?
(i)
12
(ii)
9
(iii)
10
(iv)
13
(v)
11
Question
13
13.
-1
10
=
(i)
∞
(ii)
1
(iii)
undefined
(iv)
-1
(v)
0
Question
14
14.
Simplify
3
√
64
+
3
√
1000
3
√
1331
−
3
√
27
=
(i)
14
10
(ii)
14
8
(iii)
12
8
(iv)
2
(v)
14
6
Question
15
15.
Find the greatest 4 digit number which is a perfect square?
(i)
9800
(ii)
9804
(iii)
9799
(iv)
9802
(v)
9801
Question
16
16.
-2
0
=
(i)
undefined
(ii)
1
(iii)
0
(iv)
∞
(v)
-1
Question
17
17.
What is the unit place digit in the square of 41?
(i)
4
(ii)
1
(iii)
6
(iv)
5
(v)
3
Question
18
18.
Find the smallest 5 digit number which is a perfect square?
(i)
10000
(ii)
10001
(iii)
10003
(iv)
9997
(v)
9999
Question
19
19.
Find the exponential notation of
-15
✕
-15
✕
-15
✕
-15
✕
-15
✕
-15
(i)
(-13)
6
(ii)
(-17)
6
(iii)
(-15)
7
(iv)
(-15)
5
(v)
(-15)
6
Question
20
20.
If a number has 2 zeros at the end, its square has how many zeros?
(i)
3
(ii)
7
(iii)
5
(iv)
1
(v)
4
Question
21
21.
3
√
0.0640
=
(i)
0.4
(ii)
0.6
(iii)
0.3
(iv)
0.04
(v)
0.5
Question
22
22.
3
√
125
512
=
(i)
1
2
(ii)
7
8
(iii)
5
6
(iv)
5
8
(v)
3
8
Question
23
23.
Find the greatest 5 digit number which is a perfect square?
(i)
99855
(ii)
99856
(iii)
99854
(iv)
99859
(v)
99857
Question
24
24.
0
6
=
(i)
∞
(ii)
-1
(iii)
1
(iv)
0
(v)
undefined
Question
25
25.
Find the square root of
398.082
(i)
18.952
(ii)
21.952
(iii)
20.952
(iv)
17.952
(v)
19.952
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (iv)
6) (iii)
7) (ii)
8) (iii)
9) (ii)
10) (iv)
11) (ii)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (ii)
17) (ii)
18) (i)
19) (v)
20) (v)
21) (i)
22) (iv)
23) (ii)
24) (iv)
25) (v)