EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Which of the following is not a perfect square?
  • (i)
    897
  • (ii)
    144
  • (iii)
    576
  • (iv)
    4
  • (v)
    484
Question 2
2.
    • Find the
    • cube root
    • of
    • 64

      27
  • (i)
    4
  • (ii)
    4

    3
  • (iii)
    4

    5
  • (iv)
    2

    3
  • (v)
    2
Question 3
3.
Find the smallest 2 digit number which is a perfect square?
  • (i)
    16
  • (ii)
    13
  • (iii)
    17
  • (iv)
    18
  • (v)
    15
Question 4
4.
    • 10
      0
    • =
  • (i)
    -1
  • (ii)
    0
  • (iii)
    1
  • (iv)
    undefined
  • (v)
Question 5
5.
    • -1
      3
    • =
  • (i)
    0
  • (ii)
    1
  • (iii)
  • (iv)
    -1
  • (v)
    undefined
Question 6
6.
The smallest number by which 675 must be multiplied so that the product is a perfect square is?
  • (i)
    4
  • (ii)
    5
  • (iii)
    3
  • (iv)
    2
  • (v)
    0
Question 7
7.
The smallest number by which 19208 must be divided so that the quotient is a perfect cube is?
  • (i)
    8
  • (ii)
    7
  • (iii)
    6
  • (iv)
    5
  • (v)
    9
Question 8
8.
The smallest number by which 256 must be multiplied so that the product is a perfect cube is?
  • (i)
    1
  • (ii)
    4
  • (iii)
    2
  • (iv)
    3
  • (v)
    0
Question 9
9.
Find the smallest 3 digit number which is a perfect square?
  • (i)
    103
  • (ii)
    100
  • (iii)
    97
  • (iv)
    99
  • (v)
    101
Question 10
10.
    • Find the exponential notation of
    • 14
    • 14
    • 14
    • 14
    • 14
    • 14
    • 14
  • (i)
    14 8
     
  • (ii)
    11 7
     
  • (iii)
    17 7
     
  • (iv)
    14 7
     
  • (v)
    14 6
     
Question 11
11.
Find the smallest perfect square which is divisible by each of the numbers 8,12,16
  • (i)
    577
  • (ii)
    144
  • (iii)
    288
  • (iv)
    146
  • (v)
    384
Question 12
12.
The smallest number by which 21296 must be divided so that the quotient is a perfect square is?
  • (i)
    12
  • (ii)
    9
  • (iii)
    10
  • (iv)
    13
  • (v)
    11
Question 13
13.
    • -1
      10
    • =
  • (i)
  • (ii)
    1
  • (iii)
    undefined
  • (iv)
    -1
  • (v)
    0
Question 14
14.
    • Simplify
    •  
    • 3


      64
      +
      3


      1000

      3


      1331
      3


      27
    • =
  • (i)
    14

    10
  • (ii)
    14

    8
  • (iii)
    12

    8
  • (iv)
    2
  • (v)
    14

    6
Question 15
15.
Find the greatest 4 digit number which is a perfect square?
  • (i)
    9800
  • (ii)
    9804
  • (iii)
    9799
  • (iv)
    9802
  • (v)
    9801
Question 16
16.
    • -2
      0
    • =
  • (i)
    undefined
  • (ii)
    1
  • (iii)
    0
  • (iv)
  • (v)
    -1
Question 17
17.
What is the unit place digit in the square of 41?
  • (i)
    4
  • (ii)
    1
  • (iii)
    6
  • (iv)
    5
  • (v)
    3
Question 18
18.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    10000
  • (ii)
    10001
  • (iii)
    10003
  • (iv)
    9997
  • (v)
    9999
Question 19
19.
    • Find the exponential notation of
    • -15
    • -15
    • -15
    • -15
    • -15
    • -15
  • (i)
    (-13) 6
     
  • (ii)
    (-17) 6
     
  • (iii)
    (-15) 7
     
  • (iv)
    (-15) 5
     
  • (v)
    (-15) 6
     
Question 20
20.
If a number has 2 zeros at the end, its square has how many zeros?
  • (i)
    3
  • (ii)
    7
  • (iii)
    5
  • (iv)
    1
  • (v)
    4
Question 21
21.
    • 3


      0.0640
    • =
  • (i)
    0.4
  • (ii)
    0.6
  • (iii)
    0.3
  • (iv)
    0.04
  • (v)
    0.5
Question 22
22.
    • 3


      125

      512
    • =
  • (i)
    1

    2
  • (ii)
    7

    8
  • (iii)
    5

    6
  • (iv)
    5

    8
  • (v)
    3

    8
Question 23
23.
Find the greatest 5 digit number which is a perfect square?
  • (i)
    99855
  • (ii)
    99856
  • (iii)
    99854
  • (iv)
    99859
  • (v)
    99857
Question 24
24.
    • 0
      6
    • =
  • (i)
  • (ii)
    -1
  • (iii)
    1
  • (iv)
    0
  • (v)
    undefined
Question 25
25.
    • Find the square root of
    • 398.082
  • (i)
    18.952
  • (ii)
    21.952
  • (iii)
    20.952
  • (iv)
    17.952
  • (v)
    19.952
    Assignment Key

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