EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Root and Cube Root
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Find the least number that must be added to 437 to get a perfect square?
  • (i)
    4
  • (ii)
    1
  • (iii)
    3
  • (iv)
    5
  • (v)
    6
Question 2
2.
    • If

    • √


      2916
    • =
    • 54
    • ,
    • find the value of

    • √


      29.16
  • (i)
    0.5
  • (ii)
    5.4
  • (iii)
    54
  • (iv)
    3.4
  • (v)
    7.4
Question 3
3.
Find the smallest 2 digit number which is a perfect square?
  • (i)
    16
  • (ii)
    18
  • (iii)
    17
  • (iv)
    13
  • (v)
    15
Question 4
4.
    • The solution of

    • √


      18
    • lies between
  • (i)
    4.243 and 4.244
  • (ii)
    4.242 and 4.243
  • (iii)
    4.240 and 4.241
  • (iv)
    4.241 and 4.242
  • (v)
    4.244 and 4.245
Question 5
5.
    • Find the square root of
    • 295.600
  • (i)
    19.193
  • (ii)
    18.193
  • (iii)
    15.193
  • (iv)
    17.193
  • (v)
    16.193
Question 6
6.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    9997
  • (ii)
    10001
  • (iii)
    9999
  • (iv)
    10003
  • (v)
    10000
Question 7
7.
Find the smallest 4 digit number which is a perfect square?
  • (i)
    1022
  • (ii)
    1023
  • (iii)
    1024
  • (iv)
    1025
  • (v)
    1026
Question 8
8.
The smallest number by which 512 must be multiplied so that the product is a perfect square is?
  • (i)
    3
  • (ii)
    5
  • (iii)
    2
  • (iv)
    0
  • (v)
    1
Question 9
9.
    • Find the value of
    • 25 3
       
    • +
    • 24 3
       
  • (i)
    29448
  • (ii)
    29447
  • (iii)
    29449
  • (iv)
    29452
  • (v)
    29450
Question 10
10.
Which of the following is a perfect square?
  • (i)
    1600
  • (ii)
    1852
  • (iii)
    482
  • (iv)
    1368
  • (v)
    2501
Question 11
11.
The smallest number by which 5488 must be divided so that the quotient is a perfect square is?
  • (i)
    10
  • (ii)
    4
  • (iii)
    6
  • (iv)
    7
  • (v)
    8
Question 12
12.
    • Find the
    • cube root
    • of
    • -125
  • (i)
    -4
  • (ii)
    -5
  • (iii)
    -6
  • (iv)
    -3
  • (v)
    -7
Question 13
13.
    • If

    • √


      196
    • =
    • 14
    • ,
    • find the value of

    • √


      1960000
  • (i)
    140
  • (ii)
    1402
  • (iii)
    1400
  • (iv)
    14000
  • (v)
    1398
Question 14
14.
    • Find the square root of
    • 77.50
  • (i)
    7.8
  • (ii)
    9.8
  • (iii)
    6.8
  • (iv)
    10.8
  • (v)
    8.8
Question 15
15.
    • The solution of

    • √


      10
    • lies between
  • (i)
    3.1623 and 3.1624
  • (ii)
    3.1622 and 3.1623
  • (iii)
    3.1624 and 3.1625
  • (iv)
    3.1620 and 3.1621
  • (v)
    3.1621 and 3.1622
Question 16
16.
    • Find the number of numbers between
    • 7 2
       
    • and
    • 8 2
       
  • (i)
    11
  • (ii)
    13
  • (iii)
    15
  • (iv)
    16
  • (v)
    14
Question 17
17.
    • The solution of

    • √


      13
    • lies between
  • (i)
    2 and 3
  • (ii)
    5 and 6
  • (iii)
    1 and 2
  • (iv)
    4 and 5
  • (v)
    3 and 4
Question 18
18.
Find the greatest 2 digit number which is a perfect square?
  • (i)
    79
  • (ii)
    84
  • (iii)
    80
  • (iv)
    81
  • (v)
    82
Question 19
19.
How many digits are there in the square root of 8464?
  • (i)
    4
  • (ii)
    2
  • (iii)
    3
  • (iv)
    1
  • (v)
    0
Question 20
20.
    • Find the value of
    • 23 3
       
    • −
    • 22 3
       
  • (i)
    1520
  • (ii)
    1518
  • (iii)
    1517
  • (iv)
    1519
  • (v)
    1521
Question 21
21.
Which of the following is not a perfect cube?
  • (i)
    64
  • (ii)
    11
  • (iii)
    729
  • (iv)
    1000
  • (v)
    216
Question 22
22.
Find the smallest 3 digit number which is a perfect square?
  • (i)
    101
  • (ii)
    100
  • (iii)
    98
  • (iv)
    99
  • (v)
    103
Question 23
23.
Find the greatest 4 digit number which is a perfect square?
  • (i)
    9801
  • (ii)
    9800
  • (iii)
    9802
  • (iv)
    9799
  • (v)
    9803
Question 24
24.
    • Find the
    • square root
    • of
    • 25

      4
  • (i)
    3

    2
  • (ii)
    7

    2
  • (iii)
    5

    4
  • (iv)
    5
  • (v)
    5

    2
Question 25
25.
The smallest number by which 1944 must be multiplied so that the product is a perfect cube is?
  • (i)
    2
  • (ii)
    3
  • (iii)
    4
  • (iv)
    1
  • (v)
    0
    Assignment Key

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