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
√
2
lies between
(i)
1.412 and 1.413
(ii)
1.413 and 1.414
(iii)
1.416 and 1.417
(iv)
1.415 and 1.416
(v)
1.414 and 1.415
Question
2
2.
If
√
8649
=
93
,
find the value of
√
0.8649
(i)
9.3
(ii)
0.09
(iii)
2.93
(iv)
0.93
(v)
8.93
Question
3
3.
Identify the Pythagorean triplet whose middle number is 80
(i)
{19,80,79}
(ii)
{17,80,81}
(iii)
{19,80,81}
(iv)
{18,80,82}
(v)
{20,80,82}
Question
4
4.
Identify the Pythagorean triplet whose smallest number is 18
(i)
{18,81,83}
(ii)
{18,81,84}
(iii)
{18,80,82}
(iv)
{18,82,84}
(v)
{18,82,83}
Question
5
5.
If
√
2209
=
47
,
find the value of
√
22090000
(i)
4702
(ii)
47000
(iii)
470
(iv)
4698
(v)
4700
Question
6
6.
The solution of
√
2
lies between
(i)
1.4141 and 1.4142
(ii)
1.4143 and 1.4144
(iii)
1.4140 and 1.4141
(iv)
1.4142 and 1.4143
(v)
1.4144 and 1.4145
Question
7
7.
Find the number of numbers between
13
2
and
14
2
(i)
27
(ii)
26
(iii)
24
(iv)
28
(v)
25
Question
8
8.
Find the prime factorization of
6750
(i)
2
✕
3
3
✕
7
3
(ii)
2
✕
3
3
✕
5
3
(iii)
2
✕
3
2
✕
5
3
(iv)
2
✕
1
✕
5
3
(v)
2
✕
3
4
✕
5
3
Question
9
9.
Find the smallest 4 digit number which is a perfect square?
(i)
1026
(ii)
1025
(iii)
1024
(iv)
1022
(v)
1023
Question
10
10.
Identify the Pythagorean triplet whose one of the numbers is 20
(i)
{20,100,103}
(ii)
{20,100,102}
(iii)
{20,101,102}
(iv)
{20,101,103}
(v)
{20,99,101}
Question
11
11.
If a number has 2 zeros at the end, its square has how many zeros?
(i)
4
(ii)
7
(iii)
1
(iv)
5
(v)
3
Question
12
12.
The solution of
√
6
lies between
(i)
2.44 and 2.45
(ii)
2.46 and 2.47
(iii)
2.42 and 2.43
(iv)
2.45 and 2.46
(v)
2.43 and 2.44
Question
13
13.
Find the square root of
5972.3806
(i)
78.2812
(ii)
77.2812
(iii)
79.2812
(iv)
75.2812
(v)
76.2812
Question
14
14.
Find the smallest 5 digit number which is a perfect square?
(i)
9999
(ii)
9997
(iii)
10000
(iv)
10001
(v)
10002
Question
15
15.
Find the square root of
11.50
(i)
1.39
(ii)
4.39
(iii)
5.39
(iv)
2.39
(v)
3.39
Question
16
16.
Find the least number that must be added to 1216 to get a perfect square?
(i)
7
(ii)
10
(iii)
9
(iv)
8
(v)
12
Question
17
17.
How many digits are there in the square root of 380689?
(i)
3
(ii)
4
(iii)
2
(iv)
6
(v)
0
Question
18
18.
Find the greatest 2 digit number which is a perfect square?
(i)
82
(ii)
80
(iii)
78
(iv)
81
(v)
84
Question
19
19.
The smallest number by which 2048 must be divided so that the quotient is a perfect square is?
(i)
4
(ii)
2
(iii)
3
(iv)
1
(v)
(-1)
Question
20
20.
The smallest number by which 128 must be multiplied so that the product is a perfect square is?
(i)
4
(ii)
3
(iii)
0
(iv)
2
(v)
1
Question
21
21.
Express
13
2
as the sum of two consecutive integers
(i)
83 + 84
(ii)
84 + 85
(iii)
85 + 86
(iv)
82 + 87
(v)
86 + 83
Question
22
22.
Find the smallest perfect square which is divisible by each of the numbers 16,8,6
(i)
385
(ii)
288
(iii)
146
(iv)
768
(v)
144
Question
23
23.
What is the unit place digit in the square of 32?
(i)
1
(ii)
7
(iii)
4
(iv)
5
(v)
2
Question
24
24.
How many digits are there in the square root of 1600?
(i)
2
(ii)
0
(iii)
1
(iv)
5
(v)
3
Question
25
25.
Find the greatest 4 digit number which is a perfect square?
(i)
9802
(ii)
9798
(iii)
9804
(iv)
9801
(v)
9800
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (iii)
5) (v)
6) (iv)
7) (ii)
8) (ii)
9) (iii)
10) (v)
11) (i)
12) (i)
13) (ii)
14) (iii)
15) (v)
16) (iii)
17) (i)
18) (iv)
19) (ii)
20) (iv)
21) (ii)
22) (v)
23) (iii)
24) (i)
25) (iv)