EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • Find the exponential notation of
    • 12
    • 12
    • 12
    • 12
    • 12
    • 12
    • 12
    • 12
  • (i)
    12 7
     
  • (ii)
    12 8
     
  • (iii)
    15 8
     
  • (iv)
    9 8
     
  • (v)
    12 9
     
Question 2
2.
    • Simplify
    •  



    • 9



      36




      16
      +



      121
    • =
  • (i)
    (
    -1

    3
    )
  • (ii)
    (
    -1

    15
    )
  • (iii)
    (
    -3

    17
    )
  • (iv)
    (
    -1

    5
    )
  • (v)
    (
    -3

    13
    )
Question 3
3.
The smallest number by which 108 must be multiplied so that the product is a perfect cube is?
  • (i)
    1
  • (ii)
    3
  • (iii)
    4
  • (iv)
    0
  • (v)
    2
Question 4
4.
    • Find the exponential notation of
    • -4
    • -4
    • -4
    • -4
    • -4
    • -4
    • -4
    • -4
  • (i)
    (-4) 9
     
  • (ii)
    (-4) 8
     
  • (iii)
    (-1) 8
     
  • (iv)
    (-4) 7
     
  • (v)
    (-6) 8
     
Question 5
5.
Find the greatest 3 digit number which is a perfect square?
  • (i)
    959
  • (ii)
    963
  • (iii)
    961
  • (iv)
    962
  • (v)
    960
Question 6
6.
    • Simplify
    •  
    • 3


      343
      +
      3


      1000

      3


      729
      3


      216
    • =
  • (i)
    17
  • (ii)
    17

    5
  • (iii)
    17

    3
  • (iv)
    5
  • (v)
    19

    3
Question 7
7.
    • Find the
    • square root
    • of
    • 1

      9
  • (i)
    1

    5
  • (ii)
    (
    -1

    3
    )
  • (iii)
    1
  • (iv)
    1

    3
Question 8
8.
    • -1
      9
    • =
  • (i)
    0
  • (ii)
  • (iii)
    undefined
  • (iv)
    -1
  • (v)
    1
Question 9
9.
Find the smallest 4 digit number which is a perfect square?
  • (i)
    1024
  • (ii)
    1025
  • (iii)
    1023
  • (iv)
    1021
  • (v)
    1026
Question 10
10.
    • 5
      0
    • =
  • (i)
    undefined
  • (ii)
    1
  • (iii)
    0
  • (iv)
    -1
  • (v)
Question 11
11.
Which of the following is not a perfect cube?
  • (i)
    729
  • (ii)
    346
  • (iii)
    512
  • (iv)
    8
  • (v)
    125
Question 12
12.
Find the smallest perfect square which is divisible by each of the numbers 16,8,10
  • (i)
    800
  • (ii)
    400
  • (iii)
    1280
  • (iv)
    641
  • (v)
    402
Question 13
13.
If a number has 1 zeros at the end, its square has how many zeros?
  • (i)
    2
  • (ii)
    3
  • (iii)
    (-1)
  • (iv)
    4
  • (v)
    1
Question 14
14.
    • Find the
    • cube root
    • of
    • -64
  • (i)
    -1
  • (ii)
    -4
  • (iii)
    -3
  • (iv)
    -5
  • (v)
    -6
Question 15
15.
How many digits are there in the square root of 912025?
  • (i)
    2
  • (ii)
    4
  • (iii)
    3
  • (iv)
    6
  • (v)
    0
Question 16
16.
    • Find the exponential notation of
    • 3
    • 3
    • 3
    • 3
    • 3
    • 3
    • 3
    • 3
  • (i)
    3 8
     
  • (ii)
    3 9
     
  • (iii)
    3 6
     
  • (iv)
    3 7
     
  • (v)
    5 8
     
Question 17
17.
Find the greatest 2 digit number which is a perfect square?
  • (i)
    80
  • (ii)
    81
  • (iii)
    79
  • (iv)
    83
  • (v)
    82
Question 18
18.
Find the smallest 2 digit number which is a perfect square?
  • (i)
    14
  • (ii)
    17
  • (iii)
    18
  • (iv)
    16
  • (v)
    15
Question 19
19.
    • 0
      5
    • =
  • (i)
    -1
  • (ii)
    0
  • (iii)
  • (iv)
    undefined
  • (v)
    1
Question 20
20.
The smallest number by which 27 must be multiplied so that the product is a perfect square is?
  • (i)
    3
  • (ii)
    4
  • (iii)
    0
  • (iv)
    2
  • (v)
    6
Question 21
21.
Find the least number that must be subtracted from 2125 to get a perfect square?
  • (i)
    9
  • (ii)
    6
  • (iii)
    11
  • (iv)
    8
  • (v)
    10
Question 22
22.
The smallest number by which 128 must be divided so that the quotient is a perfect cube is?
  • (i)
    0
  • (ii)
    4
  • (iii)
    1
  • (iv)
    2
  • (v)
    3
Question 23
23.
    • Find the
    • cube root
    • of
    • (
      -8

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

    3
    )
  • (iii)
    (
    -4

    3
    )
  • (iv)
    (
    -2

    5
    )
  • (v)
    0
Question 24
24.
Find the smallest 5 digit number which is a perfect square?
  • (i)
    10001
  • (ii)
    9997
  • (iii)
    10000
  • (iv)
    9999
  • (v)
    10002
Question 25
25.
    • Find the cube of
    • 9
  • (i)
    732
  • (ii)
    84
  • (iii)
    729
  • (iv)
    81
  • (v)
    726
    Assignment Key

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