ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Real Numbers
Question 1
1.
    • Rationalise the denominator of
    • 1
      (

      √

      6
      −

      √

      8
      )
  • (
    −
    1
    2

    √

    6
    −
    2
    )
  • (
    −
    1
    2

    √

    6
    −

    √

    2
    )
  • (
    −
    1
    2

    √

    8
    −

    √

    2
    )
  • (
    −
    1
    2

    √

    6
    −
    4
    √

    2
    )
  • (
    −
    1
    2

    √

    4
    −

    √

    2
    )
Question 2
2.
    • Which of the following is an irrational number?
  • 11.963
  • 3
    9
  • 10

  • √

    94
  • 15
Question 3
3.
Which of the following are true?
a)
rational numbers are closed under addition
b)
rational numbers are closed under division
c)
rational numbers are closed under multiplication
d)
rational numbers are closed under subtraction
  • {b,c}
  • {b,a}
  • {b,d}
  • {b,a,c}
  • {a,c,d}
Question 4
4.
Find the difference between the values of numbers at point A and B
  • 3
    5
  • 1
    3
  • 1
    7
  • (
    -1
    5
    		 )
  • 1
    5
Question 5
5.
    • Find the position of the rational number
    • 11
      6
    • on the number line
  • M
  • N
  • O
  • K
  • L
Question 6
6.
    • Rationalise the denominator of
    • 1
      8

      √

      5
  • 1
    8
  • 1
    40

    √

    5
  • 1
    40

    √

    3
  • 1
    40

    √

    7
  • 1
    40
    4
    √

    5
Question 7
7.
Find the rational number at the point labelled with letter S
  • 61
    6
  • 61
    4
  • 59
    6
  • 21
    2
  • 61
    8
Question 8
8.
    • The rationalising factor of
    • (
      4

      √

      3
      +

      √

      8
      )
    • =
  • (
    4

    √

    3
    −
    4
    )
  • (
    4

    √

    3
    −
    2

    √

    2
    )
  • (
    4
    −
    2

    √

    2
    )
  • (
    4

    √

    5
    −
    2

    √

    2
    )
  • (
    4

    √

    3
    −
    2
    4
    √

    2
    )
Question 9
9.
Find the product of the rational numbers at the points labelled with letters K and L
  • 1404
    25
  • 1516
    27
  • 1292
    23
  • 1406
    25
  • 1402
    25
Question 10
10.
Find the sum of the rational numbers at the points labelled with letters Q and R
  • 47
    8
  • 67
    12
  • 57
    10
  • 11
    2
  • 59
    10