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)