CBSE Board Practice

CBSE Grade IX - Number Systems
Question 1
1.
    • 4


      2
    • 4


      4
    • =



  • 8
  • 4


    6
  • 4


    8
  • 4


    11
  • 6


    8
Question 2
2.
    • Expand the following base power
    • (-4) 2
       
  • -64
  • -4
  • 1
  • 16
  • 49
Question 3
3.
    • Simplify
    • 3 2
       
      (-5) -2
       
      (-3) -2
       

      (-2) -2
       
      (-2) 2
       
      4 2
       
  • 20 -3
     
  • 20 -2
     
  • 18 -2
     
  • 22 -2
     
  • 20 -1
     
Question 4
4.
    • Simplify the expression
    • (
      9

      2
      )
      2
         
           
    • (
      9

      7
      )
      2
         
           
  • (
    81

    14
    )
    2
       
         
  • (
    81

    14
    )
    (-1)
       
         
  • (
    71

    12
    )
    2
       
         
  • (
    81

    14
    )
    4
       
         
  • (
    91

    16
    )
    2
       
         
Question 5
5.
    • Find the value of
    •    
      (
      5/2
      )
      (
      25

      4
      )
         
               
  • 625

    6
  • 3127

    32
  • 3125

    34
  • 3125

    32
  • 3123

    32
Question 6
6.
The decimal number 676.723 lies between
  • {676,677}
  • {674,675}
  • {675,676}
  • {678,679}
  • {677,678}
Question 7
7.
    • The value of
    • 4 3
       
    • ÷
    • 4 3
       
  • 1
  • (-2) -1
     
  • 4 -1
     
  • 2 -1
     
Question 8
8.
The decimal number -7.078 lies between
  • {-7.077,-7.076}
  • {-7.080,-7.079}
  • {-7.098,-7.088}
  • {-7.088,-7.068}
  • {-7.068,-7.058}
Question 9
9.
    • Rationalise the denominator of
    • (



      9
      +



      2
      )

      (



      8
      +



      3
      )
    • =
  • (
    6

    5



    2
    4

    5
    3

    5
    4


    3
    1

    5



    6
    )
  • (
    6

    5



    -1
    4

    5
    3

    5



    3
    1

    5



    6
    )
  • (
    6

    5



    2
    4

    5
    3

    5



    3
    1

    5



    9
    )
  • (
    6

    5



    2
    4

    7
    3

    5



    3
    1

    5



    6
    )
  • (
    6

    5



    2
    4

    5
    3

    5



    3
    1

    5



    6
    )
Question 10
10.
    • (-9) -3
       
    • =
  •    
    3
    (
    -1

    3
    )
         
  •    
    3
    (
    1

    9
    )
         
  •    
    3
    (
    -1

    9
    )
         
  •    
    4
    (
    -1

    9
    )
         
  •    
    2
    (
    -1

    9
    )