EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the Pythagorean triplet whose middle number is 63
(i)
{15,63,64}
(ii)
{17,63,62}
(iii)
{18,63,65}
(iv)
{16,63,65}
(v)
{17,63,64}
Question
2
2.
The smallest number by which 256 must be multiplied so that the product is a perfect cube is?
(i)
2
(ii)
3
(iii)
4
(iv)
1
(v)
0
Question
3
3.
The smallest number by which 5000 must be divided so that the quotient is a perfect cube is?
(i)
7
(ii)
2
(iii)
6
(iv)
5
(v)
4
Question
4
4.
Find the smallest 2 digit number which is a perfect square?
(i)
15
(ii)
14
(iii)
17
(iv)
18
(v)
16
Question
5
5.
The smallest number by which 20 must be multiplied so that the product is a perfect square is?
(i)
8
(ii)
4
(iii)
3
(iv)
5
(v)
6
Question
6
6.
If
√
361
=
19
,
find the value of
√
0.0361
(i)
8.19
(ii)
1.9
(iii)
0.19
(iv)
0.02
(v)
2.19
Question
7
7.
Find the greatest 3 digit number which is a perfect square?
(i)
963
(ii)
962
(iii)
961
(iv)
960
(v)
958
Question
8
8.
Find the least number that must be subtracted from 2425 to get a perfect square?
(i)
21
(ii)
24
(iii)
27
(iv)
25
(v)
23
Question
9
9.
Find the
square root
of
4
25
(i)
2
7
(ii)
0
(iii)
2
5
(iv)
2
3
(v)
4
5
Question
10
10.
Find the cube root of
1728
(i)
144
(ii)
12
(iii)
9
(iv)
15
(v)
147
Question
11
11.
Find the number of numbers between
5
2
and
6
2
(i)
10
(ii)
8
(iii)
9
(iv)
13
(v)
11
Question
12
12.
Find the smallest perfect square which is divisible by each of the numbers 9,12,4
(i)
324
(ii)
36
(iii)
38
(iv)
72
(v)
433
Question
13
13.
The solution of
√
19
lies between
(i)
4.3587 and 4.3588
(ii)
4.3586 and 4.3587
(iii)
4.3590 and 4.3591
(iv)
4.3589 and 4.3590
(v)
4.3588 and 4.3589
Question
14
14.
If a number has 1 zeros at the end, its square has how many zeros?
(i)
0
(ii)
2
(iii)
4
(iv)
1
(v)
3
Question
15
15.
The solution of
√
12
lies between
(i)
3.2 and 3.3
(ii)
3.6 and 3.7
(iii)
3.5 and 3.6
(iv)
3.3 and 3.4
(v)
3.4 and 3.5
Question
16
16.
Find the square root of
761.610
(i)
28.597
(ii)
26.597
(iii)
27.597
(iv)
25.597
(v)
29.597
Question
17
17.
Find the greatest 2 digit number which is a perfect square?
(i)
82
(ii)
79
(iii)
81
(iv)
80
(v)
84
Question
18
18.
If
√
5041
=
71
,
find the value of
√
50.41
(i)
71
(ii)
5.1
(iii)
9.1
(iv)
7.1
(v)
0.7
Question
19
19.
Which of the following is not a perfect square?
(i)
225
(ii)
289
(iii)
1225
(iv)
1762
(v)
36
Question
20
20.
Find the
cube root
of
(
-64
27
)
(i)
(
-4
5
)
(ii)
(
-2
3
)
(iii)
-2
(iv)
-4
(v)
(
-4
3
)
Question
21
21.
Find the square root of
1493.6180
(i)
37.6474
(ii)
40.6474
(iii)
36.6474
(iv)
39.6474
(v)
38.6474
Question
22
22.
Find the prime factorization of
544
(i)
2
5
✕
17
(ii)
(-1)
5
✕
17
(iii)
4
5
✕
17
(iv)
2
4
✕
17
(v)
2
5
✕
17
2
Question
23
23.
Find the
square root
of
9
(i)
3
(ii)
4
(iii)
5
(iv)
0
(v)
2
Question
24
24.
Find the prime factorization of
7488
(i)
2
6
✕
3
2
✕
13
(ii)
2
7
✕
3
2
✕
13
(iii)
2
6
✕
3
2
✕
12
(iv)
2
6
✕
3
2
✕
15
(v)
(-1)
6
✕
3
2
✕
13
Question
25
25.
The solution of
√
2
lies between
(i)
1.412 and 1.413
(ii)
1.416 and 1.417
(iii)
1.414 and 1.415
(iv)
1.413 and 1.414
(v)
1.415 and 1.416
Assignment Key
1) (iv)
2) (i)
3) (iv)
4) (v)
5) (iv)
6) (iii)
7) (iii)
8) (ii)
9) (iii)
10) (ii)
11) (i)
12) (ii)
13) (v)
14) (ii)
15) (v)
16) (iii)
17) (iii)
18) (iv)
19) (iv)
20) (v)
21) (v)
22) (i)
23) (i)
24) (i)
25) (iii)