SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade IX - Real Numbers
Question 1
1.
    • (
      −
      3

      √

      3
      +
      4

      √

      7
      )
    • +
    • (
      −
      6

      √

      4
      −
      6

      √

      5
      )
    • =
  • (
    −
    3

    √

    3
    +
    4

    √

    7
    −
    6
    4
    √

    4
    −
    6

    √

    5
    )
  • (
    −
    3

    √

    3
    +
    4

    √

    7
    −
    6

    √

    4
    −
    6

    √

    5
    )
  • (
    −
    3

    √

    3
    +
    4
    4
    √

    7
    −
    6

    √

    4
    −
    6

    √

    5
    )
  • (
    −
    3

    √

    3
    +
    4

    √

    7
    −
    6

    √

    4
    −
    6

    √

    8
    )
  • (
    −
    3

    √

    1
    3
    +
    4

    √

    7
    −
    6

    √

    4
    −
    6

    √

    5
    )
Question 2
2.
    • Rationalise the denominator of
    • 1

      √

      4
  • 3
    2
  • (
    −
    1
    2
    )
  • 1
  • 1
    4
  • 1
    2
Question 3
3.
If the length of AB = 5.5 cm and CB = 1 cm, find the value of x

  • √

    4.2
    cm

  • √

    5.5
    cm

  • √

    4.5
    cm

  • √

    3.5
    cm

  • √

    5.0
    cm
Question 4
4.
    • Simplify the expression
    •    
      4
      (
      3
      2
      )
           
    • ✕
    •    
      4
      (
      9
      2
      )
           
    • ✕
    •    
      4
      (
      9
      8
      )
           
  •    
    3
    (
    243
    32
    )
         
  •    
    4
    (
    245
    32
    )
         
  •    
    5
    (
    243
    32
    )
         
  •    
    4
    (
    243
    32
    )
         
  •    
    4
    (
    241
    32
    )
         
Question 5
5.
    • The rationalising factor of
    • (
      2

      √

      2
      +

      √

      9
      )
    • =
  • (
    2

    √

    1
    2
    −
    3
    )
  • (
    2

    √

    2
    −
    3
    )
  • (
    2

    √

    2
    −
    2
    )
  • (
    2

    √

    4
    −
    3
    )
  • (
    2

    √

    2
    −
    4
    )
Question 6
6.
    • Simplify
    • 2 2
       
      		✕
      (-5) 2
       
      		✕
      (-3) -2
       
      (-3) -2
       
      		✕
      3 -2
       
      		✕
      (-4) 2
       
  •    
    2
    (
    17
    2
    )
         
  •    
    2
    (
    13
    2
    )
         
  • 15
    2
  •    
    3
    (
    15
    2
    )
         
  •    
    2
    (
    15
    2
    )
         
Question 7
7.
    • If

      • √

        2
        = 1.4142,

      • √

        3
        = 1.7321,

      • √

        5
        = 2.2361,

      • √

        7
        = 2.6458,
    • the value of
    • (
      −
      6

      √

      3
      )
    • =
  • 0.608
  • -2.392
  • -10.392
  • -3.392
Question 8
8.
The decimal number 4.018 lies between
  • {4.028,4.038}
  • {4.019,4.020}
  • {4.008,4.028}
  • {3.998,4.008}
  • {4.016,4.017}
Question 9
9.
    • The solution of

    • √

      6
    • lies between
  • 2.6 and 2.7
  • 2.3 and 2.4
  • 2.4 and 2.5
  • 2.5 and 2.6
  • 2.2 and 2.3
Question 10
10.
What fraction of the figure is shaded?
  • 23
    25
  • 21
    23
  • 21
    25
  • 7
    9
  • 19
    25