ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Rational and Irrational Numbers
Question 1
1.
The decimal number 2.0004 lies between
  • {2.0002,2.0003}
  • {1.9994,2.0014}
  • {2.0014,2.0024}
  • {1.9984,1.9994}
  • {2.0005,2.0006}
Question 2
2.
Which of the following fractions converts to a terminating decimal?
  • 1920
    80
  • 101
    99
  • 202
    135
  • 1
    3
  • 101
    9
Question 3
3.
Which of the following are true?
a)
19
2
÷
(
29
5
+
13
20
)
=
(
19
2
÷
29
5
)
+
(
19
2
÷
13
20
)
b)
5
2
✕
(
29
5
+
6
17
)
=
(
5
2
✕
29
5
)
+
(
5
2
✕
6
17
)
c)
5
2
✕
(
67
18
−
13
12
)
=
(
5
2
✕
67
18
)
−
(
5
2
✕
13
12
)
d)
19
2
−
(
67
18
✕
8
7
)
=
(
19
2
−
67
18
)
✕
(
19
2
−
8
7
)
  • {d,c}
  • {b,c}
  • {a,d,b}
  • {a,c,b}
  • {a,b}
Question 4
4.
    • 15
      √

      5
    • ✕
    		•
      15
      √

      9
    • =
  • 15
    √

    48
  • 15
    √

    45
  • 15
    √

    43
  • 17
    √

    45
  • 13
    √

    45
Question 5
5.
Find the product of the decimal numbers at the points labelled with letters H and I
  • 16.36
  • 16.46
  • 15.96
  • 15.66
  • 16.06
Question 6
6.
    • (
      −
      5
      3
      √

      3
      +
      7
      3
      √

      4
      −
      4

      √

      8
      )
    • −
    • (
      9

      √

      8
      −
      2

      √

      9
      −
      2
      3
      √

      6
      )
    • =
  • (
    −
    5
    3
    √

    3
    +
    7
    3
    √

    4
    −
    26

    √

    2
    +
    2

    √

    9
    +
    2
    3
    √

    6
    )
  • (
    −
    5
    3
    √

    3
    +
    7
    3
    √

    4
    −
    26

    √

    2
    +
    2

    √

    12
    +
    2
    3
    √

    6
    )
  • (
    −
    5
    +
    7
    3
    √

    4
    −
    26

    √

    2
    +
    2

    √

    9
    +
    2
    3
    √

    6
    )
  • (
    −
    5
    3
    √

    3
    +
    7
    3
    √

    4
    −
    26
    4
    √

    2
    +
    2

    √

    9
    +
    2
    3
    √

    6
    )
  • (
    −
    5
    3
    √

    3
    +
    7
    5
    √

    4
    −
    26

    √

    2
    +
    2

    √

    9
    +
    2
    3
    √

    6
    )
Question 7
7.
    • Convert the fraction
    • 59
      18
    • to non-terminating recurring decimal
  • 327.
    7
  • 32.
    7
  • 3.2
    7
  • 0.032
    7
  • 0.32
    7
Question 8
8.
Which of the following is a mixed recurring decimal?
  • 27.72222222222222...
  • 5.88888888888888...
  • 0.33333333333333...
  • 30.88888888888888...
Question 9
9.
    • Express
    • 34
      55
    • as a decimal correct to 1 decimal places
  • 0.4
  • 0.5
  • 0.8
  • 0.7
  • 0.6
Question 10
10.
    • Express
    • 4
      5
    • as a decimal correct to 4 decimal places
  • 1
  • 0.6
  • 0.8
  • 0.9
  • 0.7