ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Real Numbers
Question 1
1.
Find the rational number at the point labelled with letter J
  • (
    -38
    9
    		 )
  • (
    -14
    3
    		 )
  • (
    -40
    7
    		 )
  • (
    -40
    11
    		 )
  • (
    -40
    9
    		 )
Question 2
2.
Find the sum of the rational numbers at the points labelled with letters H and I
  • (
    -76
    5
    		 )
  • (
    -102
    7
    		 )
  • (
    -72
    5
    		 )
  • (
    -74
    5
    		 )
  • (
    -46
    3
    		 )
Question 3
3.
Find the difference of the rational numbers at the points labelled with letters K and L
  • (
    -2
    3
    		 )
  • (
    -2
    5
    		 )
  • (
    -2
    7
    		 )
  • (
    -4
    5
    		 )
  • 0
Question 4
4.
    • The rationalising factor of
    • (
      −
      5

      √

      4
      −
      7

      √

      2
      )
    • =
  • (
    −
    10
    +
    14
    )
  • (
    −
    10
    +
    7

    √

    2
    )
  • (
    −
    13
    +
    7

    √

    2
    )
  • (
    −
    10
    +
    7
    4
    √

    2
    )
  • (
    −
    7
    +
    7

    √

    2
    )
Question 5
5.
    • The rationalising factor of
    • 3

      √

      38
    • =
  • 4
    √

    38

  • √

    36
  • 38

  • √

    38

  • √

    40
Question 6
6.
Which of the following are true?
a)
13
2
✕
(
69
8
✕
10
9
)
=
(
13
2
✕
69
8
)
✕
10
9
b)
3
20
÷
(
69
8
÷
17
18
)
=
(
3
20
÷
69
8
)
÷
17
18
c)
3
20
−
(
32
15
−
1
2
)
=
(
3
20
−
32
15
)
−
1
2
d)
13
2
+
(
32
15
+
14
15
)
=
(
13
2
+
32
15
)
+
14
15
  • {a,d}
  • {b,c,a}
  • {c,d}
  • {b,d,a}
  • {b,a}
Question 7
7.
Find the difference between the values of numbers at point A and B
  • 1
    2
  • 1
    4
  • 1
  • (
    -1
    2
    		 )
  • 3
    2
Question 8
8.
    • Rationalise the denominator of
    • 1
      (
      −
      8

      √

      9
      )
  • (
    −
    1
    24
    )
  • (
    −
    1
    26
    )
  • (
    −
    1
    22
    )
  • 1
    24
  • (
    −
    1
    8
    )
Question 9
9.
Find the rational number at the point labelled with letter S
  • 41
    7
  • 43
    7
  • 43
    5
  • 45
    7
  • 43
    9
Question 10
10.
Find the difference of the rational numbers at the points labelled with letters J and K
  • (
    -3
    5
    		 )
  • (
    -1
    5
    		 )
  • (
    -3
    7
    		 )
  • -1