CBSE Board Practice

CBSE Grade IX - Number Systems
Question 1
1.
    • Expand the following base power
    •    
      -4
      (
      -1

      2
      )
           
  • -8
  • -32
  • 16
  • 16

    81
Question 2
2.
    • Which of the following decimal numbers lie between
    • 9516
    • and
    • 9517
    • ?
  • 9515
  • 9518
  • 9516.9
  • 951.7
  • 95168.8
Question 3
3.
Find the product of the rational numbers at the points labelled with letters M and N
  • 141

    2
  • 1413

    20
  • 1271

    18
  • 1411

    20
  • 1409

    20
Question 4
4.
    • Which of the following is an irrational number?
  • 2.2222
  • 18

    19

  • √


    27
  • 8
  • 6
Question 5
5.
    • Rationalise the denominator of
    • 1

      (
      2

      √


      5
      −
      5

      √


      3
      −
      2

      √


      4
      )
  • (
    −
    142

    241

    √


    5
    −
    195

    241

    √


    3
    +
    316

    243
    +
    80

    241

    √


    15
    )
  • (
    −
    142

    241

    √


    5
    −
    195

    241
    4
    √


    3
    +
    316

    241
    +
    80

    241

    √


    15
    )
  • (
    −
    142

    241

    √


    2
    −
    195

    241

    √


    3
    +
    316

    241
    +
    80

    241

    √


    15
    )
  • (
    −
    142

    241

    √


    5
    −
    195

    241

    √


    3
    +
    316

    241
    +
    80

    241

    √


    17
    )
  • (
    −
    142

    241

    √


    5
    −
    195

    241

    √


    3
    +
    316

    241
    +
    80

    241

    √


    15
    )
Question 6
6.
    • 5
      √


      11

      5
      √


      17
    • =
  • 7
    √


    11

    17
  • 5
    √


    11

    17
  • 3
    √


    11

    17
  • 5
    √


    13

    17
  • 5
    √


    9

    17
Question 7
7.
    • Simplify the expression
    •    
      -2
      (
      4

      3
      )
           
    • ✕
    •    
      -4
      (
      4

      3
      )
           
  •    
    -5
    (
    4

    3
    )
         
  •    
    -6
    (
    2

    3
    )
         
  •    
    -6
    (
    4

    3
    )
         
  •    
    -7
    (
    4

    3
    )
         
  • 2 -6
     
Question 8
8.
    • 7 -2
       
    • =
  •    
    2
    (
    1

    7
    )
         
  • 1

    7
  •    
    2
    (
    -1

    7
    )
         
  •    
    3
    (
    1

    7
    )
         
  •    
    2
    (
    3

    7
    )
         
Question 9
9.
The decimal number -1.026 lies between
  • {-1.028,-1.027}
  • {-1.036,-1.016}
  • {-1.046,-1.036}
  • {-1.025,-1.024}
  • {-1.016,-1.006}
Question 10
10.
    • Simplify the expression
    •    
      (
      6/5
      )
      (
      -7

      6
      )
         
               
    • ✕
    •    
      (
      6/5
      )
      (
      -7

      6
      )
         
               
    • ✕
    •    
      (
      6/5
      )
      (
      -7

      6
      )
         
               
  •    
    (
    18/5
    )
    (
    -3

    2
    )
       
             
  •    
    (
    18/5
    )
    (
    -5

    6
    )
       
             
  •    
    4
    (
    -7

    6
    )
         
  •    
    (
    18/5
    )
    (
    -7

    6
    )
       
             
  •    
    (
    24/7
    )
    (
    -7

    6
    )