EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Squares and Square Roots
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the least number that must be subtracted from 1528 to get a perfect square?
(i)
4
(ii)
9
(iii)
6
(iv)
8
(v)
7
Question
2
2.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
101
(iii)
102
(iv)
99
(v)
100
Question
3
3.
Find the smallest 2 digit number which is a perfect square?
(i)
17
(ii)
16
(iii)
15
(iv)
14
(v)
19
Question
4
4.
Find the greatest 4 digit number which is a perfect square?
(i)
9799
(ii)
9802
(iii)
9800
(iv)
9801
(v)
9804
Question
5
5.
Identify the Pythagorean triplet whose largest number is 37
(i)
{13,34,37}
(ii)
{12,35,37}
(iii)
{11,36,37}
(iv)
{14,36,37}
(v)
{10,33,37}
Question
6
6.
Find the
square root
of
4
(i)
0
(ii)
1
(iii)
4
(iv)
2
(v)
3
Question
7
7.
Which of the following is a Pythagorean triplet?
(i)
{12,34,36}
(ii)
{12,37,36}
(iii)
{12,35,37}
(iv)
{12,36,38}
(v)
{12,33,37}
Question
8
8.
The smallest number by which 8 must be multiplied so that the product is a perfect square is?
(i)
(-1)
(ii)
4
(iii)
2
(iv)
1
(v)
3
Question
9
9.
Find the greatest 3 digit number which is a perfect square?
(i)
961
(ii)
960
(iii)
958
(iv)
962
(v)
964
Question
10
10.
If
√
625
=
25
,
find the value of
√
6250000
(i)
25000
(ii)
250
(iii)
2502
(iv)
2498
(v)
2500
Question
11
11.
The solution of
√
12
lies between
(i)
3.3 and 3.4
(ii)
3.6 and 3.7
(iii)
3.4 and 3.5
(iv)
3.5 and 3.6
(v)
3.2 and 3.3
Question
12
12.
If
√
1024
=
32
,
find the value of
√
10.24
(i)
32
(ii)
5.2
(iii)
3.2
(iv)
0.3
(v)
1.2
Question
13
13.
If
√
3136
=
56
,
find the value of
√
313600
(i)
562
(ii)
560
(iii)
558
(iv)
5600
(v)
56
Question
14
14.
Find the smallest 5 digit number which is a perfect square?
(i)
10000
(ii)
9999
(iii)
10001
(iv)
10002
(v)
9998
Question
15
15.
If
√
961
=
31
,
find the value of
√
0.0961
(i)
0.03
(ii)
0.31
(iii)
8.31
(iv)
2.31
(v)
3.1
Question
16
16.
Find the
square root
of
25
4
(i)
3
(ii)
9
4
(iii)
7
2
(iv)
5
2
(v)
3
2
Question
17
17.
Find the greatest 2 digit number which is a perfect square?
(i)
83
(ii)
78
(iii)
81
(iv)
80
(v)
82
Question
18
18.
Identify the Pythagorean triplet whose smallest number is 18
(i)
{18,82,84}
(ii)
{18,81,84}
(iii)
{18,81,83}
(iv)
{18,82,83}
(v)
{18,80,82}
Question
19
19.
Find the smallest 4 digit number which is a perfect square?
(i)
1023
(ii)
1021
(iii)
1027
(iv)
1025
(v)
1024
Question
20
20.
Identify the Pythagorean triplet whose one of the numbers is 15
(i)
{9,15,14}
(ii)
{8,15,17}
(iii)
{9,15,16}
(iv)
{7,15,16}
(v)
{10,15,17}
Question
21
21.
Which of the following is a perfect square?
(i)
2212
(ii)
321
(iii)
2025
(iv)
325
(v)
2115
Question
22
22.
The solution of
√
10
lies between
(i)
3.1624 and 3.1625
(ii)
3.1623 and 3.1624
(iii)
3.1620 and 3.1621
(iv)
3.1622 and 3.1623
(v)
3.1621 and 3.1622
Question
23
23.
Find the number of numbers between
13
2
and
14
2
(i)
27
(ii)
25
(iii)
26
(iv)
23
(v)
28
Question
24
24.
How many digits are there in the square root of 4225?
(i)
(-1)
(ii)
3
(iii)
2
(iv)
5
(v)
1
Question
25
25.
The smallest number by which 2312 must be divided so that the quotient is a perfect square is?
(i)
3
(ii)
2
(iii)
(-1)
(iv)
1
(v)
4
Assignment Key
1) (v)
2) (v)
3) (ii)
4) (iv)
5) (ii)
6) (iv)
7) (iii)
8) (iii)
9) (i)
10) (v)
11) (iii)
12) (iii)
13) (ii)
14) (i)
15) (ii)
16) (iv)
17) (iii)
18) (v)
19) (v)
20) (ii)
21) (iii)
22) (iv)
23) (iii)
24) (iii)
25) (ii)