EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
Which of the following is a Pythagorean triplet?
  • (i)
    {14,47,49}
  • (ii)
    {14,48,50}
  • (iii)
    {14,50,49}
  • (iv)
    {14,49,51}
  • (v)
    {14,46,50}
Question 2
2.
Identify the Pythagorean triplet whose middle number is 63
  • (i)
    {17,63,62}
  • (ii)
    {18,63,65}
  • (iii)
    {16,63,65}
  • (iv)
    {15,63,64}
  • (v)
    {17,63,64}
Question 3
3.
    • Find the value of
    • 20 3
       
    • 19 3
       
  • (i)
    1139
  • (ii)
    1144
  • (iii)
    1142
  • (iv)
    1141
  • (v)
    1140
Question 4
4.
How many digits are there in the square root of 4624?
  • (i)
    (-1)
  • (ii)
    2
  • (iii)
    5
  • (iv)
    1
  • (v)
    3
Question 5
5.
Identify the Pythagorean triplet whose largest number is 82
  • (i)
    {17,81,82}
  • (ii)
    {16,78,82}
  • (iii)
    {18,80,82}
  • (iv)
    {19,79,82}
  • (v)
    {20,81,82}
Question 6
6.
Find the smallest 3 digit number which is a perfect square?
  • (i)
    97
  • (ii)
    100
  • (iii)
    101
  • (iv)
    99
  • (v)
    103
Question 7
7.
    • Find the
    • cube root
    • of
    • -27
  • (i)
    -3
  • (ii)
    -5
  • (iii)
    -1
  • (iv)
    -2
  • (v)
    -4
Question 8
8.
    • Find the value of
    • 30 3
       
    • +
    • 29 3
       
  • (i)
    51389
  • (ii)
    51388
  • (iii)
    51390
  • (iv)
    51387
  • (v)
    51391
Question 9
9.
    • Find the prime factorization of
    • 2254
  • (i)
    2
    7 2
     
    23 2
     
  • (ii)
    2
    7 2
     
    21
  • (iii)
    2
    10 2
     
    23
  • (iv)
    2
    7
    23
  • (v)
    2
    7 2
     
    23
Question 10
10.
Find the greatest 2 digit number which is a perfect square?
  • (i)
    84
  • (ii)
    80
  • (iii)
    82
  • (iv)
    81
  • (v)
    78
Question 11
11.
    • If



    • 225
    • =
    • 15
    • ,
    • find the value of



    • 22500
  • (i)
    150
  • (ii)
    1500
  • (iii)
    15
  • (iv)
    152
  • (v)
    148
Question 12
12.
Identify the Pythagorean triplet whose one of the numbers is 24
  • (i)
    {12,24,26}
  • (ii)
    {11,24,25}
  • (iii)
    {9,24,25}
  • (iv)
    {10,24,26}
  • (v)
    {11,24,23}
Question 13
13.
    • The solution of



    • 17
    • lies between
  • (i)
    4.1232 and 4.1233
  • (ii)
    4.1230 and 4.1231
  • (iii)
    4.1231 and 4.1232
  • (iv)
    4.1229 and 4.1230
  • (v)
    4.1233 and 4.1234
Question 14
14.
    • The solution of



    • 6
    • lies between
  • (i)
    2.42 and 2.43
  • (ii)
    2.44 and 2.45
  • (iii)
    2.45 and 2.46
  • (iv)
    2.46 and 2.47
  • (v)
    2.43 and 2.44
Question 15
15.
Find the smallest 4 digit number which is a perfect square?
  • (i)
    1025
  • (ii)
    1023
  • (iii)
    1027
  • (iv)
    1021
  • (v)
    1024
Question 16
16.
The smallest number by which 32 must be divided so that the quotient is a perfect square is?
  • (i)
    1
  • (ii)
    2
  • (iii)
    4
  • (iv)
    (-1)
  • (v)
    3
Question 17
17.
If a number has 5 zeros at the end, its square has how many zeros?
  • (i)
    11
  • (ii)
    12
  • (iii)
    7
  • (iv)
    10
  • (v)
    9
Question 18
18.
    • Find the square root of
    • 9284.3900
  • (i)
    98.3555
  • (ii)
    97.3555
  • (iii)
    94.3555
  • (iv)
    95.3555
  • (v)
    96.3555
Question 19
19.
    • The solution of



    • 11
    • lies between
  • (i)
    5 and 6
  • (ii)
    4 and 5
  • (iii)
    1 and 2
  • (iv)
    2 and 3
  • (v)
    3 and 4
Question 20
20.
    • Find the
    • cube root
    • of
    • (
      -1

      64
      )
  • (i)
    (
    -1

    6
    )
  • (ii)
    (
    -1

    4
    )
  • (iii)
    (
    -1

    2
    )
  • (iv)
    (
    -3

    4
    )
  • (v)
    1

    4
Question 21
21.
Find the smallest perfect square which is divisible by each of the numbers 15,8,18
  • (i)
    3600
  • (ii)
    5400
  • (iii)
    7200
  • (iv)
    3602
  • (v)
    2881
Question 22
22.
    • The solution of



    • 15
    • lies between
  • (i)
    3.9 and 4.0
  • (ii)
    4.0 and 4.1
  • (iii)
    3.6 and 3.7
  • (iv)
    3.8 and 3.9
  • (v)
    3.7 and 3.8
Question 23
23.
    • The solution of



    • 15
    • lies between
  • (i)
    3.871 and 3.872
  • (ii)
    3.870 and 3.871
  • (iii)
    3.874 and 3.875
  • (iv)
    3.872 and 3.873
  • (v)
    3.873 and 3.874
Question 24
24.
    • If



    • 5184
    • =
    • 72
    • ,
    • find the value of



    • 51840000
  • (i)
    7200
  • (ii)
    7202
  • (iii)
    720
  • (iv)
    72000
  • (v)
    7198
Question 25
25.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    10000
  • (ii)
    9999
  • (iii)
    9998
  • (iv)
    10001
  • (v)
    10002
    Assignment Key

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