ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Real Numbers
Question 1
1.
Which of the following are true?
a)
15
11
✕
(
33
4
✕
1
8
)
=
(
15
11
✕
33
4
)
✕
1
8
b)
15
11
+
(
23
3
+
2
13
)
=
(
15
11
+
23
3
)
+
2
13
c)
3
13
−
(
23
3
−
6
11
)
=
(
3
13
−
23
3
)
−
6
11
d)
3
13
÷
(
33
4
÷
19
5
)
=
(
3
13
÷
33
4
)
÷
19
5
  • {c,d,a}
  • {c,b,a}
  • {d,b}
  • {a,b}
  • {c,a}
Question 2
2.
    • Find the position of the rational number
    • (
      -51
      7
      		 )
    • on the number line
  • J
  • K
  • F
  • O
  • H
Question 3
3.
Find the difference between the values of numbers at point A and B
  • 1
    7
  • 3
    5
  • 1
    3
  • (
    -1
    5
    		 )
  • 1
    5
Question 4
4.
Find the sum of the rational numbers at the points labelled with letters I and J
  • (
    -26
    3
    		 )
  • (
    -58
    7
    		 )
  • -8
  • (
    -44
    5
    		 )
  • (
    -42
    5
    		 )
Question 5
5.
    • Rationalise the denominator of
    • 1
      4

      √

      9
  • 1
    12
  • 1
    14
  • 1
    10
  • (
    −
    1
    12
    )
  • 1
    4
Question 6
6.
Find the rational number at the point labelled with letter G
  • 24
    7
  • 4
  • 26
    9
  • 26
    7
  • 26
    5
Question 7
7.
    • Rationalise the denominator of
    • 1
      (

      √

      6
      −

      √

      4
      )
  • (
    1
    2

    √

    6
    +
    0
    )
  • (
    1
    2

    √

    3
    +
    1
    )
  • (
    1
    2

    √

    6
    +
    1
    )
  • (
    1
    2

    √

    6
    +
    2
    )
  • (
    1
    2

    √

    9
    +
    1
    )
Question 8
8.
Find the sum of the rational numbers at the points labelled with letters G and H
  • 39
    5
  • 25
    3
  • 37
    5
  • 41
    5
  • 53
    7
Question 9
9.
    • The rationalising factor of

    • √

      32
    • =

  • √

    2
  • 4
    √

    2

  • √

    4

  • √

    1
    2
  • 2
Question 10
10.
Find the product of the rational numbers at the points labelled with letters G and H
  • 55
  • 57
  • 52
  • 53
  • 54