ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Rational and Irrational Numbers
Question 1
1.
    • Rationalise the denominator of
    • (
      −
      12
      −
      2

      √

      6
      )
      (
      4

      √

      4
      −

      √

      2
      )
    • =
  • (
    −
    50
    31
    −
    8
    31

    √

    6
    −
    6
    31

    √

    2
    −
    1
    31

    √

    12
    )
  • (
    −
    48
    31
    −
    8
    31

    √

    6
    −
    6
    31

    √

    2
    −
    1
    31

    √

    12
    )
  • (
    −
    48
    31
    −
    8
    31

    √

    6
    −
    6
    31
    4
    √

    2
    −
    1
    31

    √

    12
    )
  • (
    −
    48
    31
    −
    8
    31

    √

    6
    −
    6
    31

    √

    2
    −
    1
    31

    √

    15
    )
  • (
    −
    48
    31
    −
    8
    31
    4
    √

    6
    −
    6
    31

    √

    2
    −
    1
    31

    √

    12
    )
Question 2
2.
The decimal number 1.51 lies between
  • {1.52,1.53}
  • {1.41,1.61}
  • {1.61,1.71}
  • {1.49,1.50}
  • {1.31,1.41}
Question 3
3.
    • Express
    • 42
      19
    • as a decimal correct to 3 decimal places
  • 2.411
  • 2.011
  • 2.311
  • 2.111
  • 2.211
Question 4
4.
    • 10
      √

      3
    • =
  • (
    1
    8
    )
    3
    		    
         
  •    
    (
    1/10
    )
    (
    1
    3
    )
    		    
             
  • (
    1
    10
    )
    5
    		    
         
  • (
    1
    10
    )
    3
    		    
         
  • 3 10
     
Question 5
5.
    • (
      −
      6
      3
      √

      3
      +
      4
      3
      √

      9
      −
      3
      √

      7
      )
    • +
    • (
      −
      7
      3
      √

      8
      +
      3
      √

      3
      +
      3
      √

      5
      )
    • =
  • (
    −
    5
    3
    √

    3
    +
    4
    3
    √

    9
    −
    5
    √

    7
    −
    7
    3
    √

    8
    +
    3
    √

    5
    )
  • (
    −
    5
    3
    √

    3
    +
    4
    3
    √

    9
    −
    3
    √

    7
    −
    7
    3
    √

    8
    +
    3
    √

    5
    )
  • (
    −
    5
    3
    √

    3
    +
    4
    3
    √

    9
    −
    3
    √

    7
    −
    7
    3
    √

    10
    +
    3
    √

    5
    )
  • (
    −
    5
    3
    √

    3
    +
    4
    5
    √

    9
    −
    3
    √

    7
    −
    7
    3
    √

    8
    +
    3
    √

    5
    )
  • (
    −
    5
    +
    4
    3
    √

    9
    −
    3
    √

    7
    −
    7
    3
    √

    8
    +
    3
    √

    5
    )
Question 6
6.
The decimal number 0.670 lies between
  • {-1,0}
  • {-2,-1}
  • {2,3}
  • {0,1}
  • {1,2}
Question 7
7.
Find the difference of the rational numbers at the points labelled with letters J and K
  • (
    -7
    10
    		 )
  • (
    -1
    2
    		 )
  • (
    -7
    8
    		 )
  • (
    -9
    10
    		 )
  • (
    -7
    12
    		 )
Question 8
8.
5.27 =
  • 527
  • 527
    100
  • 527
    10000
  • 527
    10
  • 527
    1000
Question 9
9.
Find the product of the rational numbers at the points labelled with letters R and S
  • 4531
    98
  • 4623
    100
  • 4621
    100
  • 185
    4
  • 4715
    102
Question 10
10.
Which of the following symbols represent the set of Whole numbers ?
  • R
  • Q'
  • N
  • Z
  • W