EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the greatest 3 digit number which is a perfect square?
(i)
959
(ii)
964
(iii)
962
(iv)
961
(v)
960
Question
2
2.
Find the smallest 2 digit number which is a perfect square?
(i)
17
(ii)
16
(iii)
15
(iv)
19
(v)
13
Question
3
3.
The smallest number by which 1372 must be multiplied so that the product is a perfect cube is?
(i)
0
(ii)
2
(iii)
3
(iv)
4
(v)
1
Question
4
4.
√
0.0400
=
(i)
0.3
(ii)
0.2
(iii)
0.02
(iv)
0.4
(v)
0.1
Question
5
5.
Find the square root of
747.190
(i)
27.335
(ii)
25.335
(iii)
28.335
(iv)
29.335
(v)
26.335
Question
6
6.
Find the exponential notation of
-3
✕
-3
✕
-3
✕
-3
✕
-3
✕
-3
(i)
(-3)
6
(ii)
(-3)
7
(iii)
(-3)
5
(iv)
(-6)
6
(v)
(-1)
6
Question
7
7.
Which of the following is a perfect cube?
(i)
514
(ii)
998
(iii)
63
(iv)
344
(v)
729
Question
8
8.
Find the cube of
24
(i)
13821
(ii)
576
(iii)
13827
(iv)
13824
(v)
579
Question
9
9.
Simplify
3
√
729
+
3
√
1331
3
√
343
−
3
√
27
=
(i)
5
(ii)
22
4
(iii)
18
4
(iv)
20
6
(v)
10
Question
10
10.
Find the smallest perfect square which is divisible by each of the numbers 16,18,14
(i)
14112
(ii)
7058
(iii)
7056
(iv)
16128
(v)
18145
Question
11
11.
Find the
square root
of
16
(i)
1
(ii)
7
(iii)
4
(iv)
3
(v)
5
Question
12
12.
Find the
square root
of
1
25
(i)
1
3
(ii)
(
-1
5
)
(iii)
3
5
(iv)
1
5
(v)
1
7
Question
13
13.
3
0
=
(i)
-1
(ii)
0
(iii)
1
(iv)
undefined
(v)
∞
Question
14
14.
Find the smallest 3 digit number which is a perfect square?
(i)
103
(ii)
98
(iii)
100
(iv)
101
(v)
99
Question
15
15.
-9
0
=
(i)
1
(ii)
∞
(iii)
-1
(iv)
undefined
(v)
0
Question
16
16.
Find the smallest 4 digit number which is a perfect square?
(i)
1027
(ii)
1025
(iii)
1023
(iv)
1024
(v)
1021
Question
17
17.
Find the exponential notation of
7
✕
7
✕
7
✕
7
✕
7
(i)
10
5
(ii)
7
5
(iii)
7
6
(iv)
7
4
(v)
5
5
Question
18
18.
Find the least number that must be subtracted from 2434 to get a perfect square?
(i)
34
(ii)
33
(iii)
36
(iv)
32
(v)
30
Question
19
19.
3
√
512
729
=
(i)
8
11
(ii)
8
9
(iii)
8
7
(iv)
2
3
(v)
10
9
Question
20
20.
The smallest number by which 16875 must be divided so that the quotient is a perfect cube is?
(i)
4
(ii)
5
(iii)
7
(iv)
6
(v)
2
Question
21
21.
Find the least number that must be added to 777 to get a perfect square?
(i)
6
(ii)
7
(iii)
10
(iv)
4
(v)
8
Question
22
22.
Find the
cube root
of
-8
(i)
-3
(ii)
-1
(iii)
1
(iv)
-4
(v)
-2
Question
23
23.
The smallest number by which 12 must be multiplied so that the product is a perfect square is?
(i)
1
(ii)
2
(iii)
3
(iv)
6
(v)
4
Question
24
24.
If a number has 3 zeros at the end, its square has how many zeros?
(i)
6
(ii)
7
(iii)
8
(iv)
5
(v)
4
Question
25
25.
Find the greatest 5 digit number which is a perfect square?
(i)
99858
(ii)
99857
(iii)
99855
(iv)
99856
(v)
99854
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (ii)
5) (i)
6) (i)
7) (v)
8) (iv)
9) (i)
10) (iii)
11) (iii)
12) (iv)
13) (iii)
14) (iii)
15) (i)
16) (iv)
17) (ii)
18) (ii)
19) (ii)
20) (ii)
21) (ii)
22) (v)
23) (iii)
24) (i)
25) (iv)