EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Squares and Square Roots
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the Pythagorean triplet whose one of the numbers is 26
(i)
{8,22,26}
(ii)
{9,25,26}
(iii)
{11,23,26}
(iv)
{10,24,26}
(v)
{12,25,26}
Question
2
2.
Which of the following is not a perfect square?
(i)
1933
(ii)
121
(iii)
9
(iv)
2209
Question
3
3.
The smallest number by which 128 must be divided so that the quotient is a perfect square is?
(i)
1
(ii)
5
(iii)
2
(iv)
(-1)
(v)
3
Question
4
4.
If
√
2025
=
45
,
find the value of
√
20250000
(i)
4500
(ii)
450
(iii)
45000
(iv)
4502
(v)
4498
Question
5
5.
Find the square root of
243.330
(i)
13.599
(ii)
16.599
(iii)
14.599
(iv)
15.599
(v)
17.599
Question
6
6.
Which of the following is a Pythagorean triplet?
(i)
{8,13,17}
(ii)
{8,16,18}
(iii)
{8,15,17}
(iv)
{8,14,16}
(v)
{8,17,16}
Question
7
7.
The smallest number by which 578 must be multiplied so that the product is a perfect square is?
(i)
4
(ii)
3
(iii)
1
(iv)
(-1)
(v)
2
Question
8
8.
The solution of
√
12
lies between
(i)
3 and 4
(ii)
4 and 5
(iii)
1 and 2
(iv)
5 and 6
(v)
2 and 3
Question
9
9.
Find the prime factorization of
450
(i)
-1
✕
3
2
✕
5
2
(ii)
1
✕
3
2
✕
5
2
(iii)
2
✕
3
2
✕
5
2
(iv)
5
✕
3
2
✕
5
2
(v)
2
2
✕
3
2
✕
5
2
Question
10
10.
What is the unit place digit in the square of 32?
(i)
4
(ii)
1
(iii)
8
(iv)
9
(v)
2
Question
11
11.
Find the least number that must be subtracted from 1627 to get a perfect square?
(i)
27
(ii)
29
(iii)
28
(iv)
26
(v)
24
Question
12
12.
Find the square root of
15.62
(i)
4.95
(ii)
3.95
(iii)
5.95
(iv)
1.95
(v)
2.95
Question
13
13.
If
√
8100
=
90
,
find the value of
√
810000
(i)
900
(ii)
90
(iii)
902
(iv)
898
(v)
9000
Question
14
14.
If
√
1764
=
42
,
find the value of
√
17.64
(i)
6.2
(ii)
2.2
(iii)
4.2
(iv)
42
(v)
0.4
Question
15
15.
Express
29
2
as the sum of two consecutive integers
(i)
420 + 421
(ii)
421 + 422
(iii)
419 + 420
(iv)
418 + 423
(v)
422 + 419
Question
16
16.
If a number has 3 zeros at the end, its square has how many zeros?
(i)
7
(ii)
4
(iii)
5
(iv)
6
(v)
8
Question
17
17.
How many digits are there in the square root of 5776?
(i)
4
(ii)
2
(iii)
3
(iv)
(-1)
(v)
1
Question
18
18.
How many digits are there in the square root of 254016?
(i)
0
(ii)
6
(iii)
2
(iv)
4
(v)
3
Question
19
19.
Find the least number that must be added to 724 to get a perfect square?
(i)
6
(ii)
5
(iii)
2
(iv)
7
(v)
4
Question
20
20.
The solution of
√
19
lies between
(i)
4.5 and 4.6
(ii)
4.3 and 4.4
(iii)
4.4 and 4.5
(iv)
4.1 and 4.2
(v)
4.2 and 4.3
Question
21
21.
Which of the following is a perfect square?
(i)
166
(ii)
1368
(iii)
289
(iv)
902
(v)
65
Question
22
22.
The solution of
√
10
lies between
(i)
3.1624 and 3.1625
(ii)
3.1620 and 3.1621
(iii)
3.1622 and 3.1623
(iv)
3.1621 and 3.1622
(v)
3.1623 and 3.1624
Question
23
23.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
103
(iii)
100
(iv)
101
(v)
99
Question
24
24.
Find the
square root
of
4
25
(i)
4
5
(ii)
2
7
(iii)
2
3
(iv)
0
(v)
2
5
Question
25
25.
Find the greatest 3 digit number which is a perfect square?
(i)
961
(ii)
962
(iii)
959
(iv)
960
(v)
963
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (i)
5) (iv)
6) (iii)
7) (v)
8) (i)
9) (iii)
10) (i)
11) (i)
12) (ii)
13) (i)
14) (iii)
15) (i)
16) (iv)
17) (ii)
18) (v)
19) (ii)
20) (ii)
21) (iii)
22) (iii)
23) (iii)
24) (v)
25) (i)