EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Squares and Square Roots
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the greatest 4 digit number which is a perfect square?
(i)
9804
(ii)
9801
(iii)
9800
(iv)
9798
(v)
9802
Question
2
2.
Find the greatest 5 digit number which is a perfect square?
(i)
99856
(ii)
99854
(iii)
99859
(iv)
99857
(v)
99855
Question
3
3.
Find the square root of
869.660
(i)
28.49
(ii)
29.49
(iii)
27.49
(iv)
30.49
(v)
31.49
Question
4
4.
What is the unit place digit in the square of 29?
(i)
2
(ii)
6
(iii)
4
(iv)
5
(v)
1
Question
5
5.
Which of the following is a Pythagorean triplet?
(i)
{20,97,101}
(ii)
{20,99,101}
(iii)
{20,98,100}
(iv)
{20,101,100}
(v)
{20,100,102}
Question
6
6.
The solution of
√
10
lies between
(i)
5 and 6
(ii)
3 and 4
(iii)
1 and 2
(iv)
4 and 5
(v)
2 and 3
Question
7
7.
Find the prime factorization of
5760
(i)
2
7
✕
3
3
✕
5
(ii)
2
7
✕
3
2
✕
5
(iii)
2
7
✕
3
✕
5
(iv)
2
7
✕
3
2
✕
8
(v)
2
7
✕
3
2
✕
2
Question
8
8.
If a number has 4 zeros at the end, its square has how many zeros?
(i)
7
(ii)
11
(iii)
9
(iv)
6
(v)
8
Question
9
9.
Find the
square root
of
1
4
(i)
1
(ii)
1
4
(iii)
(
-1
2
)
(iv)
3
2
(v)
1
2
Question
10
10.
Which of the following is a perfect square?
(i)
403
(ii)
6
(iii)
485
(iv)
4
(v)
2115
Question
11
11.
Find the smallest perfect square which is divisible by each of the numbers 4,6,16
(i)
146
(ii)
288
(iii)
192
(iv)
289
(v)
144
Question
12
12.
If
√
9409
=
97
,
find the value of
√
94090000
(i)
970
(ii)
9698
(iii)
9700
(iv)
97000
(v)
9702
Question
13
13.
Find the smallest 2 digit number which is a perfect square?
(i)
16
(ii)
13
(iii)
18
(iv)
15
(v)
17
Question
14
14.
Find the least number that must be added to 2568 to get a perfect square?
(i)
34
(ii)
32
(iii)
35
(iv)
31
(v)
33
Question
15
15.
Find the greatest 3 digit number which is a perfect square?
(i)
961
(ii)
958
(iii)
963
(iv)
960
(v)
962
Question
16
16.
Find the prime factorization of
160
(i)
2
5
✕
3
(ii)
2
5
✕
4
(iii)
2
5
✕
5
(iv)
2
5
✕
5
2
(v)
2
5
✕
8
Question
17
17.
Which of the following is not a perfect square?
(i)
400
(ii)
676
(iii)
166
(iv)
625
(v)
1936
Question
18
18.
Find the
square root
of
4
(i)
1
(ii)
3
(iii)
2
(iv)
4
(v)
0
Question
19
19.
Find the smallest 5 digit number which is a perfect square?
(i)
10000
(ii)
10001
(iii)
9999
(iv)
10002
(v)
9997
Question
20
20.
The smallest number by which 27 must be multiplied so that the product is a perfect square is?
(i)
5
(ii)
2
(iii)
3
(iv)
1
(v)
4
Question
21
21.
How many digits are there in the square root of 5776?
(i)
5
(ii)
2
(iii)
0
(iv)
3
(v)
1
Question
22
22.
If
√
961
=
31
,
find the value of
√
9.61
(i)
5.1
(ii)
0.3
(iii)
3.1
(iv)
1.1
(v)
31
Question
23
23.
Find the least number that must be subtracted from 495 to get a perfect square?
(i)
11
(ii)
14
(iii)
8
(iv)
12
(v)
10
Question
24
24.
The solution of
√
18
lies between
(i)
4.2425 and 4.2426
(ii)
4.2428 and 4.2429
(iii)
4.2424 and 4.2425
(iv)
4.2427 and 4.2428
(v)
4.2426 and 4.2427
Question
25
25.
Find the smallest 4 digit number which is a perfect square?
(i)
1025
(ii)
1026
(iii)
1024
(iv)
1023
(v)
1021
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (v)
5) (ii)
6) (ii)
7) (ii)
8) (v)
9) (v)
10) (iv)
11) (v)
12) (iii)
13) (i)
14) (v)
15) (i)
16) (iii)
17) (iii)
18) (iii)
19) (i)
20) (iii)
21) (ii)
22) (iii)
23) (i)
24) (v)
25) (iii)