ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Rational and Irrational Numbers
Question 1
1.
    • Convert the fraction
    • 140
      9
    • to non-terminating recurring decimal
  • 0.1
    5
  • 1.
    5
  • 1555.
    5
  • 15.
    5
  • 155.
    5
Question 2
2.
Which of the following is a unit fraction?
  • 11
    13
    19
  • 12
    7
  • 2
    6
    13
  • 5
    13
  • 1
    4
Question 3
3.
    • Rationalise the denominator of
    • 1
      (
      4

      √

      6
      +
      6

      √

      9
      )
  • (
    −
    1
    57

    √

    4
    +
    3
    38
    )
  • (
    −
    1
    57

    √

    6
    +
    1
    12
    )
  • (
    −
    1
    57

    √

    9
    +
    3
    38
    )
  • (
    −
    1
    57

    √

    6
    +
    3
    40
    )
  • (
    −
    1
    57

    √

    6
    +
    3
    38
    )
Question 4
4.
Which of the following are true?
a)
19
15
✕
(
8
5
−
1
12
)
=
(
19
15
✕
8
5
)
−
(
19
15
✕
1
12
)
b)
6
7
÷
(
11
2
+
9
10
)
=
(
6
7
÷
11
2
)
+
(
6
7
÷
9
10
)
c)
19
15
✕
(
11
2
+
13
14
)
=
(
19
15
✕
11
2
)
+
(
19
15
✕
13
14
)
d)
6
7
−
(
8
5
✕
1
14
)
=
(
6
7
−
8
5
)
✕
(
6
7
−
1
14
)
  • {a,c}
  • {b,a}
  • {b,d,a}
  • {b,c,a}
  • {d,c}
Question 5
5.
Which of the following symbols represent the set of Natural numbers ?
  • R
  • N
  • W
  • Z
  • Q
Question 6
6.
Which of the following is a fifth order surd?
  • 9
    4
    √

    2
  • 3
    5
    √

    3
  • (
    −
    2

    √

    2
    )
  • (
    −
    6
    √

    8
    )
  • (
    −
    2
    3
    √

    7
    )
Question 7
7.
    • 5
      √

      8
      5
      √

      2
    • =
  • 3
    √

    4
  • 5
    √

    6
  • 7
    √

    4
  • 5
    √

    4
  • 5
    √

    2
Question 8
8.
The decimal number 0.378 lies between
  • {2,3}
  • {1,2}
  • {-1,0}
  • {-2,-1}
  • {0,1}
Question 9
9.
Which of the following is a decimal fraction?
  • 18
    13
  • 7
    1000
  • 7
    18
    19
  • 15
    18
  • 12
    1
    2
Question 10
10.
Which of the following symbols represent the set of Irrational numbers ?
  • Z
  • W
  • N
  • R
  • Q'