EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
3
√
1
1000
=
(i)
1
8
(ii)
(
-1
10
)
(iii)
1
10
(iv)
3
10
(v)
1
12
Question
2
2.
Find the square root of
22.70
(i)
6.76
(ii)
4.76
(iii)
2.76
(iv)
5.76
(v)
3.76
Question
3
3.
If a number has 1 zeros at the end, its square has how many zeros?
(i)
2
(ii)
(-1)
(iii)
5
(iv)
3
(v)
1
Question
4
4.
Find the exponential notation of
13
✕
13
✕
13
✕
13
✕
13
✕
13
(i)
16
6
(ii)
11
6
(iii)
13
5
(iv)
13
7
(v)
13
6
Question
5
5.
The smallest number by which 92 must be multiplied so that the product is a perfect square is?
(i)
25
(ii)
24
(iii)
22
(iv)
20
(v)
23
Question
6
6.
Find the exponential notation of
3
✕
3
✕
3
(i)
3
4
(ii)
3
3
(iii)
3
2
(iv)
5
3
(v)
0
Question
7
7.
Find the greatest 5 digit number which is a perfect square?
(i)
99857
(ii)
99858
(iii)
99855
(iv)
99856
(v)
99854
Question
8
8.
Find the exponential notation of
-13
✕
-13
✕
-13
✕
-13
(i)
(-13)
5
(ii)
(-13)
4
(iii)
(-13)
3
(iv)
(-15)
4
(v)
(-10)
4
Question
9
9.
Find the square root of
4010.6050
(i)
62.3293
(ii)
64.3293
(iii)
61.3293
(iv)
63.3293
(v)
65.3293
Question
10
10.
Find the exponential notation of
-3
✕
-3
✕
-3
✕
-3
✕
-3
✕
-3
(i)
(-3)
5
(ii)
(-1)
6
(iii)
(-3)
6
(iv)
(-3)
7
(v)
(-5)
6
Question
11
11.
-7
0
=
(i)
0
(ii)
1
(iii)
-1
(iv)
∞
(v)
undefined
Question
12
12.
The smallest number by which 8192 must be divided so that the quotient is a perfect cube is?
(i)
1
(ii)
0
(iii)
4
(iv)
2
(v)
3
Question
13
13.
Simplify
√
16
−
√
100
√
49
+
√
121
=
(i)
(
-4
9
)
(ii)
(
-3
8
)
(iii)
(
-1
3
)
(iv)
(
-3
10
)
(v)
(
-2
9
)
Question
14
14.
Find the smallest 3 digit number which is a perfect square?
(i)
101
(ii)
100
(iii)
98
(iv)
99
(v)
103
Question
15
15.
Which of the following is a perfect square?
(i)
144
(ii)
50
(iii)
527
(iv)
731
(v)
1599
Question
16
16.
Find the
cube root
of
64
(i)
5
(ii)
4
(iii)
3
(iv)
6
(v)
2
Question
17
17.
Find the smallest 2 digit number which is a perfect square?
(i)
16
(ii)
18
(iii)
14
(iv)
15
(v)
17
Question
18
18.
Find the smallest perfect square which is divisible by each of the numbers 6,14,18
(i)
1766
(ii)
3528
(iii)
756
(iv)
1765
(v)
1764
Question
19
19.
√
0.3600
=
(i)
0.8
(ii)
0.5
(iii)
0.7
(iv)
0.06
(v)
0.6
Question
20
20.
Simplify
3
√
1728
+
3
√
27
3
√
343
−
3
√
8
=
(i)
13
5
(ii)
3
(iii)
15
7
(iv)
5
(v)
17
5
Question
21
21.
What is the unit place digit in the square of 34?
(i)
6
(ii)
1
(iii)
9
(iv)
7
(v)
0
Question
22
22.
√
9
64
=
(i)
3
8
(ii)
1
8
(iii)
5
8
(iv)
1
2
(v)
3
10
Question
23
23.
Find the
cube root
of
1
64
(i)
1
2
(ii)
1
6
(iii)
1
4
(iv)
3
4
(v)
(
-1
4
)
Question
24
24.
Find the least number that must be subtracted from 849 to get a perfect square?
(i)
8
(ii)
10
(iii)
9
(iv)
5
(v)
7
Question
25
25.
2
0
=
(i)
-1
(ii)
1
(iii)
undefined
(iv)
∞
(v)
0
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (v)
5) (v)
6) (ii)
7) (iv)
8) (ii)
9) (iv)
10) (iii)
11) (ii)
12) (iv)
13) (iii)
14) (ii)
15) (i)
16) (ii)
17) (i)
18) (v)
19) (v)
20) (ii)
21) (i)
22) (i)
23) (iii)
24) (i)
25) (ii)