EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Squares and Square Roots
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
√
4761
=
69
,
find the value of
√
0.4761
(i)
6.9
(ii)
0.69
(iii)
8.69
(iv)
0.07
(v)
2.69
Question
2
2.
Find the number of numbers between
6
2
and
7
2
(i)
13
(ii)
15
(iii)
9
(iv)
12
(v)
11
Question
3
3.
Identify the Pythagorean triplet whose middle number is 80
(i)
{19,80,81}
(ii)
{20,80,82}
(iii)
{18,80,82}
(iv)
{17,80,81}
(v)
{19,80,79}
Question
4
4.
Identify the Pythagorean triplet whose one of the numbers is 101
(i)
{19,100,101}
(ii)
{22,100,101}
(iii)
{18,97,101}
(iv)
{20,99,101}
(v)
{21,98,101}
Question
5
5.
The solution of
√
10
lies between
(i)
3.15 and 3.16
(ii)
3.14 and 3.15
(iii)
3.17 and 3.18
(iv)
3.18 and 3.19
(v)
3.16 and 3.17
Question
6
6.
If
√
10000
=
100
,
find the value of
√
100000000
(i)
10000
(ii)
100000
(iii)
10002
(iv)
1000
(v)
9998
Question
7
7.
Find the smallest perfect square which is divisible by each of the numbers 6,9,4
(i)
72
(ii)
38
(iii)
36
(iv)
325
(v)
216
Question
8
8.
The smallest number by which 192 must be multiplied so that the product is a perfect square is?
(i)
0
(ii)
3
(iii)
6
(iv)
2
(v)
4
Question
9
9.
Find the
square root
of
9
16
(i)
1
2
(ii)
5
4
(iii)
3
4
(iv)
3
2
(v)
1
4
Question
10
10.
Which of the following is a Pythagorean triplet?
(i)
{12,34,36}
(ii)
{12,35,37}
(iii)
{12,37,36}
(iv)
{12,33,37}
(v)
{12,36,38}
Question
11
11.
Which of the following is a perfect square?
(i)
80
(ii)
228
(iii)
2210
(iv)
782
(v)
900
Question
12
12.
Identify the Pythagorean triplet whose smallest number is 14
(i)
{14,49,52}
(ii)
{14,50,51}
(iii)
{14,48,50}
(iv)
{14,49,51}
(v)
{14,50,52}
Question
13
13.
Express
19
2
as the sum of two consecutive integers
(i)
181 + 182
(ii)
180 + 181
(iii)
178 + 183
(iv)
179 + 180
(v)
182 + 179
Question
14
14.
Find the smallest 5 digit number which is a perfect square?
(i)
10000
(ii)
10001
(iii)
9998
(iv)
9999
(v)
10003
Question
15
15.
Find the square root of
7.80
(i)
2.79
(ii)
3.79
(iii)
4.79
(iv)
0.79
(v)
1.79
Question
16
16.
Find the prime factorization of
972
(i)
2
2
✕
3
4
(ii)
2
2
✕
3
6
(iii)
2
2
✕
3
5
(iv)
2
2
✕
5
5
(v)
2
2
✕
1
Question
17
17.
If
√
3844
=
62
,
find the value of
√
38.44
(i)
4.2
(ii)
0.6
(iii)
8.2
(iv)
62
(v)
6.2
Question
18
18.
The solution of
√
2
lies between
(i)
1.412 and 1.413
(ii)
1.416 and 1.417
(iii)
1.415 and 1.416
(iv)
1.413 and 1.414
(v)
1.414 and 1.415
Question
19
19.
Find the prime factorization of
82944
(i)
2
10
✕
3
4
(ii)
2
10
✕
3
5
(iii)
2
10
✕
1
(iv)
2
9
✕
3
4
(v)
2
10
✕
5
4
Question
20
20.
Find the smallest 3 digit number which is a perfect square?
(i)
98
(ii)
100
(iii)
102
(iv)
99
(v)
101
Question
21
21.
The smallest number by which 2187 must be divided so that the quotient is a perfect square is?
(i)
1
(ii)
3
(iii)
4
(iv)
2
(v)
5
Question
22
22.
The solution of
√
5
lies between
(i)
2 and 3
(ii)
3 and 4
(iii)
1 and 2
(iv)
0 and 1
(v)
4 and 5
Question
23
23.
What is the unit place digit in the square of 16?
(i)
7
(ii)
1
(iii)
0
(iv)
6
(v)
8
Question
24
24.
If
√
400
=
20
,
find the value of
√
40000
(i)
200
(ii)
202
(iii)
2000
(iv)
20
(v)
198
Question
25
25.
Find the greatest 2 digit number which is a perfect square?
(i)
81
(ii)
80
(iii)
82
(iv)
78
(v)
83
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (iv)
5) (v)
6) (i)
7) (iii)
8) (ii)
9) (iii)
10) (ii)
11) (v)
12) (iii)
13) (ii)
14) (i)
15) (i)
16) (iii)
17) (v)
18) (v)
19) (i)
20) (ii)
21) (ii)
22) (i)
23) (iv)
24) (i)
25) (i)