EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Find the smallest 3 digit number which is a perfect square?
(i)
103
(ii)
100
(iii)
101
(iv)
99
(v)
98
Question
2
2.
The solution of
√
19
lies between
(i)
4 and 5
(ii)
3 and 4
(iii)
6 and 7
(iv)
5 and 6
(v)
2 and 3
Question
3
3.
Find the smallest 4 digit number which is a perfect square?
(i)
1024
(ii)
1026
(iii)
1022
(iv)
1025
(v)
1023
Question
4
4.
The smallest number by which 8192 must be divided so that the quotient is a perfect cube is?
(i)
2
(ii)
4
(iii)
1
(iv)
0
(v)
3
Question
5
5.
Find the square root of
19.40
(i)
6.4
(ii)
3.4
(iii)
5.4
(iv)
4.4
(v)
2.4
Question
6
6.
If a number has 2 zeros at the end, its square has how many zeros?
(i)
5
(ii)
4
(iii)
6
(iv)
3
(v)
2
Question
7
7.
Find the square root of
5034.7485
(i)
70.956
(ii)
72.956
(iii)
71.956
(iv)
68.956
(v)
69.956
Question
8
8.
Find the value of
6
3
−
5
3
(i)
90
(ii)
91
(iii)
88
(iv)
92
(v)
93
Question
9
9.
Which of the following is a perfect cube?
(i)
999
(ii)
732
(iii)
344
(iv)
27
(v)
62
Question
10
10.
Find the prime factorization of
1078
(i)
2
✕
7
2
✕
11
(ii)
1
✕
7
2
✕
11
(iii)
2
✕
7
2
✕
11
2
(iv)
2
✕
7
2
✕
9
(v)
2
✕
7
2
✕
13
Question
11
11.
If
√
256
=
16
,
find the value of
√
2560000
(i)
160
(ii)
1598
(iii)
16000
(iv)
1600
(v)
1602
Question
12
12.
Find the prime factorization of
82
(i)
4
✕
41
(ii)
2
✕
41
2
(iii)
2
-1
✕
41
(iv)
1
✕
41
(v)
2
✕
41
Question
13
13.
Find the square root of
460.700
(i)
23.464
(ii)
19.464
(iii)
20.464
(iv)
21.464
(v)
22.464
Question
14
14.
Find the number of numbers between
3
2
and
4
2
(i)
9
(ii)
5
(iii)
6
(iv)
3
(v)
7
Question
15
15.
The smallest number by which 21296 must be divided so that the quotient is a perfect square is?
(i)
10
(ii)
12
(iii)
14
(iv)
9
(v)
11
Question
16
16.
Find the prime factorization of
216
(i)
2
3
✕
5
3
(ii)
2
3
✕
3
3
(iii)
(-1)
3
✕
3
3
(iv)
2
4
✕
3
3
(v)
2
3
✕
3
2
Question
17
17.
Which of the following is a perfect square?
(i)
323
(ii)
2307
(iii)
144
(iv)
10
(v)
959
Question
18
18.
If
√
10000
=
100
,
find the value of
√
1000000
(i)
1000
(ii)
100
(iii)
10000
(iv)
1002
(v)
998
Question
19
19.
The solution of
√
12
lies between
(i)
3.462 and 3.463
(ii)
3.465 and 3.466
(iii)
3.463 and 3.464
(iv)
3.464 and 3.465
(v)
3.466 and 3.467
Question
20
20.
Find the prime factorization of
24
(i)
2
3
✕
3
2
(ii)
2
3
✕
2
(iii)
2
3
✕
3
(iv)
(-1)
3
✕
3
(v)
4
3
✕
3
Question
21
21.
Find the
square root
of
25
4
(i)
5
2
(ii)
9
4
(iii)
7
2
(iv)
3
2
(v)
3
Question
22
22.
Which of the following is not a perfect cube?
(i)
27
(ii)
64
(iii)
128
(iv)
512
(v)
1000
Question
23
23.
If
√
7056
=
84
,
find the value of
√
70.56
(i)
0.8
(ii)
84
(iii)
10.4
(iv)
8.4
(v)
6.4
Question
24
24.
Find the
cube root
of
1
27
(i)
(
-1
3
)
(ii)
1
(iii)
1
3
(iv)
1
5
Question
25
25.
Find the least number that must be added to 193 to get a perfect square?
(i)
0
(ii)
4
(iii)
3
(iv)
6
(v)
2
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (i)
5) (iv)
6) (ii)
7) (i)
8) (ii)
9) (iv)
10) (i)
11) (iv)
12) (v)
13) (iv)
14) (iii)
15) (v)
16) (ii)
17) (iii)
18) (i)
19) (iv)
20) (iii)
21) (i)
22) (iii)
23) (iv)
24) (iii)
25) (iii)