EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • 3


      1

      1000
    • =
  • (i)
    1

    8
  • (ii)
    (
    -1

    10
    )
  • (iii)
    1

    10
  • (iv)
    3

    10
  • (v)
    1

    12
Question 2
2.
    • Find the square root of
    • 22.70
  • (i)
    6.76
  • (ii)
    4.76
  • (iii)
    2.76
  • (iv)
    5.76
  • (v)
    3.76
Question 3
3.
If a number has 1 zeros at the end, its square has how many zeros?
  • (i)
    2
  • (ii)
    (-1)
  • (iii)
    5
  • (iv)
    3
  • (v)
    1
Question 4
4.
    • Find the exponential notation of
    • 13
    • 13
    • 13
    • 13
    • 13
    • 13
  • (i)
    16 6
     
  • (ii)
    11 6
     
  • (iii)
    13 5
     
  • (iv)
    13 7
     
  • (v)
    13 6
     
Question 5
5.
The smallest number by which 92 must be multiplied so that the product is a perfect square is?
  • (i)
    25
  • (ii)
    24
  • (iii)
    22
  • (iv)
    20
  • (v)
    23
Question 6
6.
    • Find the exponential notation of
    • 3
    • 3
    • 3
  • (i)
    3 4
     
  • (ii)
    3 3
     
  • (iii)
    3 2
     
  • (iv)
    5 3
     
  • (v)
    0
Question 7
7.
Find the greatest 5 digit number which is a perfect square?
  • (i)
    99857
  • (ii)
    99858
  • (iii)
    99855
  • (iv)
    99856
  • (v)
    99854
Question 8
8.
    • Find the exponential notation of
    • -13
    • -13
    • -13
    • -13
  • (i)
    (-13) 5
     
  • (ii)
    (-13) 4
     
  • (iii)
    (-13) 3
     
  • (iv)
    (-15) 4
     
  • (v)
    (-10) 4
     
Question 9
9.
    • Find the square root of
    • 4010.6050
  • (i)
    62.3293
  • (ii)
    64.3293
  • (iii)
    61.3293
  • (iv)
    63.3293
  • (v)
    65.3293
Question 10
10.
    • Find the exponential notation of
    • -3
    • -3
    • -3
    • -3
    • -3
    • -3
  • (i)
    (-3) 5
     
  • (ii)
    (-1) 6
     
  • (iii)
    (-3) 6
     
  • (iv)
    (-3) 7
     
  • (v)
    (-5) 6
     
Question 11
11.
    • -7
      0
    • =
  • (i)
    0
  • (ii)
    1
  • (iii)
    -1
  • (iv)
  • (v)
    undefined
Question 12
12.
The smallest number by which 8192 must be divided so that the quotient is a perfect cube is?
  • (i)
    1
  • (ii)
    0
  • (iii)
    4
  • (iv)
    2
  • (v)
    3
Question 13
13.
    • Simplify
    •  



    • 16



      100




      49
      +



      121
    • =
  • (i)
    (
    -4

    9
    )
  • (ii)
    (
    -3

    8
    )
  • (iii)
    (
    -1

    3
    )
  • (iv)
    (
    -3

    10
    )
  • (v)
    (
    -2

    9
    )
Question 14
14.
Find the smallest 3 digit number which is a perfect square?
  • (i)
    101
  • (ii)
    100
  • (iii)
    98
  • (iv)
    99
  • (v)
    103
Question 15
15.
Which of the following is a perfect square?
  • (i)
    144
  • (ii)
    50
  • (iii)
    527
  • (iv)
    731
  • (v)
    1599
Question 16
16.
    • Find the
    • cube root
    • of
    • 64
  • (i)
    5
  • (ii)
    4
  • (iii)
    3
  • (iv)
    6
  • (v)
    2
Question 17
17.
Find the smallest 2 digit number which is a perfect square?
  • (i)
    16
  • (ii)
    18
  • (iii)
    14
  • (iv)
    15
  • (v)
    17
Question 18
18.
Find the smallest perfect square which is divisible by each of the numbers 6,14,18
  • (i)
    1766
  • (ii)
    3528
  • (iii)
    756
  • (iv)
    1765
  • (v)
    1764
Question 19
19.



    • 0.3600
    • =
  • (i)
    0.8
  • (ii)
    0.5
  • (iii)
    0.7
  • (iv)
    0.06
  • (v)
    0.6
Question 20
20.
    • Simplify
    •  
    • 3


      1728
      +
      3


      27

      3


      343
      3


      8
    • =
  • (i)
    13

    5
  • (ii)
    3
  • (iii)
    15

    7
  • (iv)
    5
  • (v)
    17

    5
Question 21
21.
What is the unit place digit in the square of 34?
  • (i)
    6
  • (ii)
    1
  • (iii)
    9
  • (iv)
    7
  • (v)
    0
Question 22
22.



    • 9

      64
    • =
  • (i)
    3

    8
  • (ii)
    1

    8
  • (iii)
    5

    8
  • (iv)
    1

    2
  • (v)
    3

    10
Question 23
23.
    • Find the
    • cube root
    • of
    • 1

      64
  • (i)
    1

    2
  • (ii)
    1

    6
  • (iii)
    1

    4
  • (iv)
    3

    4
  • (v)
    (
    -1

    4
    )
Question 24
24.
Find the least number that must be subtracted from 849 to get a perfect square?
  • (i)
    8
  • (ii)
    10
  • (iii)
    9
  • (iv)
    5
  • (v)
    7
Question 25
25.
    • 2
      0
    • =
  • (i)
    -1
  • (ii)
    1
  • (iii)
    undefined
  • (iv)
  • (v)
    0
    Assignment Key

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