ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Rational and Irrational Numbers
Question 1
1.
Which of the following are true?
a)
9
5
✕
(
86
9
+
19
9
)
=
(
9
5
✕
86
9
)
+
(
9
5
✕
19
9
)
b)
9
5
✕
(
119
13
−
13
12
)
=
(
9
5
✕
119
13
)
−
(
9
5
✕
13
12
)
c)
14
15
−
(
119
13
✕
19
7
)
=
(
14
15
−
119
13
)
✕
(
14
15
−
19
7
)
d)
14
15
÷
(
86
9
+
1
20
)
=
(
14
15
÷
86
9
)
+
(
14
15
÷
1
20
)
  • {d,b}
  • {c,a}
  • {c,d,a}
  • {a,b}
  • {c,b,a}
Question 2
2.
Which of the following fractions converts to a non-terminating recurring decimal?
  • 1680
    40
  • 3094
    40
  • 1567
    20
  • 107
    9
  • 1547
    10
Question 3
3.
The decimal number 0.98 lies between
  • {1.08,1.18}
  • {0.78,0.88}
  • {0.88,1.08}
  • {0.96,0.97}
  • {0.99,1.00}
Question 4
4.
    • Rationalise the denominator of
    • 1
      (
      −

      √

      3
      +
      4
      +

      √

      2
      )
  • (
    15
    97

    √

    3
    +
    44
    97
    −
    17
    97

    √

    2
    −
    8
    97

    √

    9
    )
  • (
    15
    97

    √

    3
    +
    44
    97
    −
    17
    97
    4
    √

    2
    −
    8
    97

    √

    6
    )
  • (
    15
    97

    √

    3
    +
    44
    97
    −
    17
    97

    √

    2
    −
    8
    97

    √

    6
    )
  • (
    15
    97
    +
    44
    97
    −
    17
    97

    √

    2
    −
    8
    97

    √

    6
    )
  • (
    15
    97

    √

    3
    +
    4
    9
    −
    17
    97

    √

    2
    −
    8
    97

    √

    6
    )
Question 5
5.
Which of the following is a pure recurring decimal?
  • 8.38888888888888...
  • 16.94444444444444...
  • 25.88888888888888...
  • 13.38888888888888...
  • 0.43333333333333...
Question 6
6.
The decimal number 0.021 lies between
  • {-2,-1}
  • {2,3}
  • {-1,0}
  • {0,1}
  • {1,2}
Question 7
7.
Find the product of the decimal numbers at the points labelled with letters B and C
  • 15
  • 14.4
  • 14.3
  • 14.7
Question 8
8.
    • Express
    • 5
      4
    • as a decimal correct to 3 decimal places
  • 1.15
  • 1.35
  • 1.05
  • 1.45
  • 1.25
Question 9
9.
Which of the following is a vulgar fraction?
  • 4
    10
  • 8
    100
  • 7
    10000
  • 9
    1000
  • 2
    4
Question 10
10.
    • Express
    • 737
      917
    • as a decimal correct to 3 decimal places
  • 0.704
  • 1.004
  • 0.804
  • 0.904
  • 0.604