ICSE Board Practice

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'