ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Real Numbers
Question 1
1.
Find the product of the rational numbers at the points labelled with letters I and J
  • 9
    2
  • 5
  • 7
    2
  • 11
    2
  • 17
    4
Question 2
2.
    • Which of the following is an irrational number?
  • 14.1111
  • 6
  • 15
    29
  • 3
    √

    48
  • 30
Question 3
3.
    • The rationalising factor of
    • 9

      √

      25
    • =
  • 0
  • 3
  • (
    −
    2
    )
  • 1
  • 2
Question 4
4.
    • Which of the following is a rational number?
  • 3
    √

    40
  • 3
    14
  • 3
    √

    96
  • 3
    √

    81

  • √

    62
Question 5
5.
    • The rationalising factor of
    • (
      −
      8

      √

      2
      −
      8

      √

      9
      )
    • =
  • (
    −
    8

    √

    2
    +
    24
    )
  • (
    −
    8

    √

    1
    2
    +
    24
    )
  • (
    −
    8

    √

    4
    +
    24
    )
  • (
    −
    8

    √

    2
    +
    23
    )
  • (
    −
    8

    √

    2
    +
    25
    )
Question 6
6.
Which of the following are true?
a)
13
20
÷
87
14
=
87
14
÷
13
20
b)
13
20
−
55
8
=
55
8
−
13
20
c)
19
4
✕
87
14
=
87
14
✕
19
4
d)
19
4
+
55
8
=
55
8
+
19
4
  • {b,d}
  • {c,d}
  • {a,d,c}
  • {a,b,c}
  • {a,c}
Question 7
7.
Find the rational number at the point labelled with letter J
  • -22
  • (
    -22
    5
    		 )
  • (
    -22
    3
    		 )
  • -8
  • (
    -20
    3
    		 )
Question 8
8.
Find the difference of the rational numbers at the points labelled with letters D and E
  • (
    -3
    10
    		 )
  • (
    -1
    2
    		 )
  • (
    -1
    4
    		 )
  • (
    -3
    8
    		 )
  • (
    -1
    10
    		 )
Question 9
9.
    • Rationalise the denominator of
    • (
      2

      √

      6
      +
      5

      √

      2
      )
      (
      5

      √

      8
      +
      2

      √

      5
      )
    • =
  • (
    1
    9

    √

    12
    +
    5
    11
    −
    1
    45

    √

    30
    −
    1
    18

    √

    10
    )
  • (
    1
    9

    √

    9
    +
    5
    9
    −
    1
    45

    √

    30
    −
    1
    18

    √

    10
    )
  • (
    1
    9

    √

    12
    +
    5
    9
    −
    1
    45

    √

    30
    −
    1
    18

    √

    10
    )
  • (
    1
    9

    √

    12
    +
    5
    9
    −
    1
    45
    4
    √

    30
    −
    1
    18

    √

    10
    )
  • (
    1
    9

    √

    12
    +
    5
    9
    −
    1
    45

    √

    30
    −
    1
    18

    √

    12
    )
Question 10
10.
Which of the following are true?
a)
rational numbers are closed under addition
b)
rational numbers are closed under multiplication
c)
rational numbers are closed under subtraction
d)
rational numbers are closed under division
  • {a,b,c}
  • {d,c}
  • {d,a,b}
  • {d,a}
  • {d,b}