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)