EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Squares and Square Roots
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The solution of
√
13
lies between
(i)
3 and 4
(ii)
4 and 5
(iii)
2 and 3
(iv)
5 and 6
(v)
1 and 2
Question
2
2.
Find the greatest 5 digit number which is a perfect square?
(i)
99855
(ii)
99853
(iii)
99859
(iv)
99857
(v)
99856
Question
3
3.
Find the least number that must be added to 1219 to get a perfect square?
(i)
7
(ii)
3
(iii)
6
(iv)
5
(v)
9
Question
4
4.
Find the greatest 2 digit number which is a perfect square?
(i)
81
(ii)
78
(iii)
84
(iv)
80
(v)
82
Question
5
5.
Find the
square root
of
16
(i)
4
(ii)
1
(iii)
5
(iv)
3
(v)
6
Question
6
6.
Identify the Pythagorean triplet whose smallest number is 18
(i)
{18,80,82}
(ii)
{18,81,84}
(iii)
{18,81,83}
(iv)
{18,82,84}
(v)
{18,82,83}
Question
7
7.
The solution of
√
15
lies between
(i)
3.85 and 3.86
(ii)
3.86 and 3.87
(iii)
3.88 and 3.89
(iv)
3.87 and 3.88
(v)
3.89 and 3.90
Question
8
8.
Identify the Pythagorean triplet whose middle number is 24
(i)
{11,24,23}
(ii)
{12,24,26}
(iii)
{11,24,25}
(iv)
{9,24,25}
(v)
{10,24,26}
Question
9
9.
Express
9
2
as the sum of two consecutive integers
(i)
42 + 39
(ii)
38 + 43
(iii)
41 + 42
(iv)
40 + 41
(v)
39 + 40
Question
10
10.
If
√
6400
=
80
,
find the value of
√
64000000
(i)
80000
(ii)
7998
(iii)
800
(iv)
8000
(v)
8002
Question
11
11.
Identify the Pythagorean triplet whose one of the numbers is 12
(i)
{12,37,38}
(ii)
{12,36,39}
(iii)
{12,35,37}
(iv)
{12,36,38}
(v)
{12,37,39}
Question
12
12.
Find the smallest 5 digit number which is a perfect square?
(i)
10001
(ii)
10002
(iii)
9997
(iv)
9999
(v)
10000
Question
13
13.
Identify the Pythagorean triplet whose largest number is 17
(i)
{9,14,17}
(ii)
{7,16,17}
(iii)
{6,13,17}
(iv)
{8,15,17}
(v)
{10,16,17}
Question
14
14.
Find the
square root
of
16
9
(i)
4
3
(ii)
4
(iii)
2
3
(iv)
4
5
(v)
2
Question
15
15.
The smallest number by which 50 must be multiplied so that the product is a perfect square is?
(i)
4
(ii)
3
(iii)
2
(iv)
1
(v)
(-1)
Question
16
16.
The solution of
√
6
lies between
(i)
2.450 and 2.451
(ii)
2.451 and 2.452
(iii)
2.449 and 2.450
(iv)
2.448 and 2.449
(v)
2.447 and 2.448
Question
17
17.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
102
(iii)
100
(iv)
101
(v)
99
Question
18
18.
Which of the following is not a perfect square?
(i)
676
(ii)
900
(iii)
1024
(iv)
223
(v)
729
Question
19
19.
Find the greatest 4 digit number which is a perfect square?
(i)
9803
(ii)
9800
(iii)
9802
(iv)
9798
(v)
9801
Question
20
20.
If a number has 5 zeros at the end, its square has how many zeros?
(i)
11
(ii)
10
(iii)
8
(iv)
9
(v)
12
Question
21
21.
The solution of
√
19
lies between
(i)
4.3 and 4.4
(ii)
4.2 and 4.3
(iii)
4.1 and 4.2
(iv)
4.4 and 4.5
(v)
4.5 and 4.6
Question
22
22.
Find the least number that must be subtracted from 200 to get a perfect square?
(i)
6
(ii)
4
(iii)
5
(iv)
1
(v)
3
Question
23
23.
Find the smallest perfect square which is divisible by each of the numbers 12,16,15
(i)
3602
(ii)
3841
(iii)
7200
(iv)
2880
(v)
3600
Question
24
24.
Which of the following is a perfect square?
(i)
287
(ii)
1599
(iii)
486
(iv)
1157
(v)
1764
Question
25
25.
The smallest number by which 1728 must be divided so that the quotient is a perfect square is?
(i)
2
(ii)
4
(iii)
3
(iv)
5
(v)
1
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (i)
5) (i)
6) (i)
7) (iv)
8) (v)
9) (iv)
10) (iv)
11) (iii)
12) (v)
13) (iv)
14) (i)
15) (iii)
16) (iii)
17) (iii)
18) (iv)
19) (v)
20) (ii)
21) (i)
22) (ii)
23) (v)
24) (v)
25) (iii)