EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
Identify the Pythagorean triplet whose one of the numbers is 17
  • (i)
    {8,15,17}
  • (ii)
    {9,14,17}
  • (iii)
    {6,13,17}
  • (iv)
    {10,16,17}
  • (v)
    {7,16,17}
Question 2
2.
    • Find the number of numbers between
    • 4 2
       
    • and
    • 5 2
       
  • (i)
    10
  • (ii)
    7
  • (iii)
    8
  • (iv)
    9
  • (v)
    5
Question 3
3.
Identify the Pythagorean triplet whose smallest number is 10
  • (i)
    {10,25,27}
  • (ii)
    {10,26,28}
  • (iii)
    {10,25,28}
  • (iv)
    {10,24,26}
  • (v)
    {10,26,27}
Question 4
4.
    • The solution of



    • 3
    • lies between
  • (i)
    1.8 and 1.9
  • (ii)
    1.9 and 2.0
  • (iii)
    1.6 and 1.7
  • (iv)
    1.5 and 1.6
  • (v)
    1.7 and 1.8
Question 5
5.
Which of the following is not a perfect square?
  • (i)
    49
  • (ii)
    898
  • (iii)
    121
  • (iv)
    144
  • (v)
    1024
Question 6
6.
How many digits are there in the square root of 2025?
  • (i)
    4
  • (ii)
    3
  • (iii)
    1
  • (iv)
    2
  • (v)
    (-1)
Question 7
7.
Find the smallest 3 digit number which is a perfect square?
  • (i)
    101
  • (ii)
    99
  • (iii)
    100
  • (iv)
    102
  • (v)
    97
Question 8
8.
Which of the following is a perfect cube?
  • (i)
    25
  • (ii)
    9
  • (iii)
    1000
  • (iv)
    219
  • (v)
    728
Question 9
9.
Identify the Pythagorean triplet whose middle number is 80
  • (i)
    {20,80,82}
  • (ii)
    {19,80,81}
  • (iii)
    {18,80,82}
  • (iv)
    {19,80,79}
  • (v)
    {17,80,81}
Question 10
10.
Find the smallest 2 digit number which is a perfect square?
  • (i)
    17
  • (ii)
    14
  • (iii)
    18
  • (iv)
    15
  • (v)
    16
Question 11
11.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    9999
  • (ii)
    10000
  • (iii)
    10003
  • (iv)
    9997
  • (v)
    10001
Question 12
12.
    • The solution of



    • 11
    • lies between
  • (i)
    3.33 and 3.34
  • (ii)
    3.29 and 3.30
  • (iii)
    3.30 and 3.31
  • (iv)
    3.32 and 3.33
  • (v)
    3.31 and 3.32
Question 13
13.
Find the smallest 4 digit number which is a perfect square?
  • (i)
    1021
  • (ii)
    1023
  • (iii)
    1025
  • (iv)
    1026
  • (v)
    1024
Question 14
14.
    • Find the cube of
    • 6
  • (i)
    36
  • (ii)
    39
  • (iii)
    219
  • (iv)
    213
  • (v)
    216
Question 15
15.
The smallest number by which 2592 must be divided so that the quotient is a perfect square is?
  • (i)
    2
  • (ii)
    3
  • (iii)
    1
  • (iv)
    (-1)
  • (v)
    4
Question 16
16.
Which of the following is not a perfect cube?
  • (i)
    512
  • (ii)
    219
  • (iii)
    1000
  • (iv)
    8
  • (v)
    729
Question 17
17.
    • Find the
    • square root
    • of
    • 9
  • (i)
    0
  • (ii)
    5
  • (iii)
    3
  • (iv)
    4
  • (v)
    2
Question 18
18.
    • If



    • 400
    • =
    • 20
    • ,
    • find the value of



    • 0.0400
  • (i)
    0.02
  • (ii)
    2
  • (iii)
    8.2
  • (iv)
    2.2
  • (v)
    0.2
Question 19
19.
The smallest number by which 8192 must be divided so that the quotient is a perfect cube is?
  • (i)
    4
  • (ii)
    0
  • (iii)
    3
  • (iv)
    2
  • (v)
    1
Question 20
20.
    • Find the square root of
    • 154.760
  • (i)
    13.44
  • (ii)
    11.44
  • (iii)
    10.44
  • (iv)
    14.44
  • (v)
    12.44
Question 21
21.
    • Find the value of
    • 19 3
       
    • 18 3
       
  • (i)
    1025
  • (ii)
    1027
  • (iii)
    1030
  • (iv)
    1028
  • (v)
    1026
Question 22
22.
    • The solution of



    • 13
    • lies between
  • (i)
    3 and 4
  • (ii)
    4 and 5
  • (iii)
    5 and 6
  • (iv)
    1 and 2
  • (v)
    2 and 3
Question 23
23.
    • Find the value of
    • 20 3
       
    • +
    • 19 3
       
  • (i)
    14860
  • (ii)
    14862
  • (iii)
    14858
  • (iv)
    14856
  • (v)
    14859
Question 24
24.
    • Find the
    • cube root
    • of
    • (
      -8

      27
      )
  • (i)
    -2
  • (ii)
    0
  • (iii)
    (
    -2

    5
    )
  • (iv)
    (
    -4

    3
    )
  • (v)
    (
    -2

    3
    )
Question 25
25.
What is the unit place digit in the square of 22?
  • (i)
    6
  • (ii)
    0
  • (iii)
    5
  • (iv)
    4
  • (v)
    7
    Assignment Key

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