EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • Find the prime factorization of
    • 20
  • (i)
    5 2
     
    5
  • (ii)
    2 3
     
    5
  • (iii)
    2 2
     
    4
  • (iv)
    0
    5
  • (v)
    2 2
     
    5
Question 2
2.
    • If



    • 4225
    • =
    • 65
    • ,
    • find the value of



    • 42250000
  • (i)
    6498
  • (ii)
    65000
  • (iii)
    650
  • (iv)
    6502
  • (v)
    6500
Question 3
3.
    • If



    • 2025
    • =
    • 45
    • ,
    • find the value of



    • 202500
  • (i)
    45
  • (ii)
    4500
  • (iii)
    452
  • (iv)
    448
  • (v)
    450
Question 4
4.
    • Find the prime factorization of
    • 57
  • (i)
    3
    19 2
     
  • (ii)
    3
    18
  • (iii)
    3
    19
  • (iv)
    3
    22
  • (v)
    3
    17
Question 5
5.
Which of the following is not a perfect cube?
  • (i)
    27
  • (ii)
    512
  • (iii)
    1000
  • (iv)
    8
  • (v)
    219
Question 6
6.
How many digits are there in the square root of 65536?
  • (i)
    4
  • (ii)
    3
  • (iii)
    5
  • (iv)
    0
  • (v)
    2
Question 7
7.
Which of the following is a perfect cube?
  • (i)
    29
  • (ii)
    340
  • (iii)
    126
  • (iv)
    63
  • (v)
    8
Question 8
8.
    • Find the value of
    • 17 3
       
    • +
    • 16 3
       
  • (i)
    9009
  • (ii)
    9012
  • (iii)
    9008
  • (iv)
    9010
  • (v)
    9006
Question 9
9.
    • Express
    • 21 2
       
    • as the sum of two consecutive integers
  • (i)
    222 + 219
  • (ii)
    220 + 221
  • (iii)
    219 + 220
  • (iv)
    218 + 223
  • (v)
    221 + 222
Question 10
10.
Which of the following is not a perfect square?
  • (i)
    2025
  • (ii)
    1934
  • (iii)
    169
  • (iv)
    484
  • (v)
    529
Question 11
11.
Identify the Pythagorean triplet whose one of the numbers is 15
  • (i)
    {9,15,14}
  • (ii)
    {9,15,16}
  • (iii)
    {7,15,16}
  • (iv)
    {10,15,17}
  • (v)
    {8,15,17}
Question 12
12.
    • Find the value of
    • 27 3
       
    • 26 3
       
  • (i)
    2109
  • (ii)
    2106
  • (iii)
    2104
  • (iv)
    2107
  • (v)
    2108
Question 13
13.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    10001
  • (ii)
    10003
  • (iii)
    10000
  • (iv)
    9999
  • (v)
    9997
Question 14
14.
    • The solution of



    • 3
    • lies between
  • (i)
    1.732 and 1.733
  • (ii)
    1.733 and 1.734
  • (iii)
    1.730 and 1.731
  • (iv)
    1.734 and 1.735
  • (v)
    1.731 and 1.732
Question 15
15.
    • Find the cube root of
    • 2197
  • (i)
    169
  • (ii)
    13
  • (iii)
    16
  • (iv)
    10
  • (v)
    172
Question 16
16.
    • Find the
    • square root
    • of
    • 9

      4
  • (i)
    3

    2
  • (ii)
    3
  • (iii)
    3

    4
  • (iv)
    1

    2
  • (v)
    5

    2
Question 17
17.
    • If



    • 1521
    • =
    • 39
    • ,
    • find the value of



    • 15.21
  • (i)
    0.4
  • (ii)
    5.9
  • (iii)
    39
  • (iv)
    1.9
  • (v)
    3.9
Question 18
18.
Find the least number that must be added to 2196 to get a perfect square?
  • (i)
    13
  • (ii)
    12
  • (iii)
    15
  • (iv)
    11
  • (v)
    14
Question 19
19.
    • Find the square root of
    • 45.20
  • (i)
    5.72
  • (ii)
    8.72
  • (iii)
    7.72
  • (iv)
    4.72
  • (v)
    6.72
Question 20
20.
Which of the following is a perfect square?
  • (i)
    675
  • (ii)
    1764
  • (iii)
    673
  • (iv)
    787
  • (v)
    101
Question 21
21.
    • Find the square root of
    • 222.530
  • (i)
    12.917
  • (ii)
    14.917
  • (iii)
    16.917
  • (iv)
    15.917
  • (v)
    13.917
Question 22
22.
Find the greatest 4 digit number which is a perfect square?
  • (i)
    9801
  • (ii)
    9798
  • (iii)
    9803
  • (iv)
    9800
  • (v)
    9802
Question 23
23.
    • The solution of



    • 20
    • lies between
  • (i)
    6 and 7
  • (ii)
    2 and 3
  • (iii)
    3 and 4
  • (iv)
    4 and 5
  • (v)
    5 and 6
Question 24
24.
    • Find the square root of
    • 3946.4283
  • (i)
    61.8206
  • (ii)
    62.8206
  • (iii)
    60.8206
  • (iv)
    64.8206
  • (v)
    63.8206
Question 25
25.
If a number has 2 zeros at the end, its square has how many zeros?
  • (i)
    4
  • (ii)
    1
  • (iii)
    7
  • (iv)
    5
  • (v)
    3
    Assignment Key

  •  1) (v)
  •  2) (v)
  •  3) (v)
  •  4) (iii)
  •  5) (v)
  •  6) (ii)
  •  7) (v)
  •  8) (i)
  •  9) (ii)
  •  10) (ii)
  •  11) (v)
  •  12) (iv)
  •  13) (iii)
  •  14) (i)
  •  15) (ii)
  •  16) (i)
  •  17) (v)
  •  18) (i)
  •  19) (v)
  •  20) (ii)
  •  21) (ii)
  •  22) (i)
  •  23) (iv)
  •  24) (ii)
  •  25) (i)