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)
17
15
+
(
81
13
+
17
8
)
=
(
17
15
+
81
13
)
+
17
8
b)
13
10
−
(
81
13
−
1
7
)
=
(
13
10
−
81
13
)
−
1
7
c)
17
15
✕
(
21
5
✕
19
7
)
=
(
17
15
✕
21
5
)
✕
19
7
d)
13
10
÷
(
21
5
÷
7
12
)
=
(
13
10
÷
21
5
)
÷
7
12
  • {d,c}
  • {b,a}
  • {b,c,a}
  • {b,d,a}
  • {a,c}
Question 2
2.
    • Rationalise the denominator of
    • 1
      (

      √

      4
      −

      √

      3
      )
  • (
    2
    +
    3
    )
  • (
    −
    1
    +

    √

    3
    )
  • (
    2
    +

    √

    3
    )
  • (
    2
    +
    4
    √

    3
    )
  • (
    4
    +

    √

    3
    )
Question 3
3.
    • Rationalise the denominator of
    • (
      −
      5

      √

      2
      −
      3

      √

      5
      )
      (
      −
      2

      √

      4
      −
      3

      √

      7
      )
    • =
  • (
    −
    20
    47

    √

    2
    −
    12
    47

    √

    5
    +
    15
    47
    4
    √

    14
    +
    9
    47

    √

    35
    )
  • (
    −
    20
    47

    √

    1
    2
    −
    12
    47

    √

    5
    +
    15
    47

    √

    14
    +
    9
    47

    √

    35
    )
  • (
    −
    20
    47

    √

    2
    −
    12
    47

    √

    5
    +
    15
    47

    √

    14
    +
    9
    47

    √

    38
    )
  • (
    −
    20
    47

    √

    2
    −
    12
    47
    4
    √

    5
    +
    15
    47

    √

    14
    +
    9
    47

    √

    35
    )
  • (
    −
    20
    47

    √

    2
    −
    12
    47

    √

    5
    +
    15
    47

    √

    14
    +
    9
    47

    √

    35
    )
Question 4
4.
Find the product of the rational numbers at the points labelled with letters J and K
  • 92
    5
  • 426
    23
  • 166
    9
  • 464
    25
  • 462
    25
Question 5
5.
Find the difference of the rational numbers at the points labelled with letters D and E
  • (
    -1
    10
    		 )
  • (
    -1
    2
    		 )
  • (
    -1
    4
    		 )
  • (
    -3
    10
    		 )
  • (
    -3
    8
    		 )
Question 6
6.
Find the difference of the rational numbers at the points labelled with letters G and H
  • -1
  • (
    -3
    7
    		 )
  • (
    -3
    5
    		 )
  • (
    -1
    5
    		 )
Question 7
7.
    • Rationalise the denominator of
    • 1
      9

      √

      2
  • 1
    18
    4
    √

    2
  • 1
    18

    √

    -1
  • 1
    9
  • 1
    18

    √

    2
  • 1
    18

    √

    4
Question 8
8.
Find the sum of the rational numbers at the points labelled with letters P and Q
  • 63
    4
  • 161
    10
  • 159
    10
  • 129
    8
  • 157
    10
Question 9
9.
    • Which of the following is a rational number?
  • 3
    √

    64

  • √

    47
  • 13
    18
  • 3
    √

    39
  • 3
    √

    100
Question 10
10.
    • Find the position of the rational number
    • 11
      5
    • on the number line
  • D
  • S
  • O
  • Q
  • R