ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Rational and Irrational Numbers
Question 1
1.
    • The additive inverse of
    • (
      -7
      8
      		 )
    • is
  • 7
    8
  • 8
    -7
  • (
    -1
    8
    		 )
  • 8
    7
  • 0
Question 2
2.
Find the difference of the decimal numbers at the points labelled with letters G and H
  • 0.2
  • -0.1
  • 0.5
  • 0.1
Question 3
3.
Which of the following are true?
a)
10
9
✕
(
139
16
+
13
16
)
=
(
10
9
✕
139
16
)
+
(
10
9
✕
13
16
)
b)
4
3
−
(
18
7
✕
19
9
)
=
(
4
3
−
18
7
)
✕
(
4
3
−
19
9
)
c)
10
9
✕
(
18
7
−
20
7
)
=
(
10
9
✕
18
7
)
−
(
10
9
✕
20
7
)
d)
4
3
÷
(
139
16
+
13
12
)
=
(
4
3
÷
139
16
)
+
(
4
3
÷
13
12
)
  • {d,c}
  • {b,d,a}
  • {a,c}
  • {b,a}
  • {b,c,a}
Question 4
4.
Find the product of the rational numbers at the points labelled with letters Q and R
  • 373
    9
  • 1037
    25
  • 207
    5
  • 955
    23
  • 1039
    25
Question 5
5.
Which of the following is a decimal fraction?
  • 3
    9
  • 18
    6
    7
  • 12
    1
    6
  • 17
    7
  • 2
    10
Question 6
6.
Which of the following symbols represent the set of Real numbers ?
  • Q'
  • Q
  • R
  • W
  • N
Question 7
7.
Find the equation representing the following number line diagram
  • 1
    11
    −
    12
    11
    =
    -1
  • 2
    11
    +
    1
    1
    =
    1
    2
    11
  • 3
    11
    −
    9
    11
    =
    (
    -6
    11
    		 )
  • 1
    11
    +
    9
    11
    =
    10
    11
  • 0
    +
    9
    11
    =
    9
    11
Question 8
8.
    • 6
      √

      4
      6
      √

      5
    • =
  • 4
    √

    4
    5
  • 8
    √

    4
    5
  • 6
    √

    2
    5
  • 6
    √

    4
    5
  • 6
    √

    6
    5
Question 9
9.
    • Simplify
    • (
      −

      √

      7
      )
      (

      √

      6
      +

      √

      8
      )
    • −
    • (
      −

      √

      8
      )
      (
      −

      √

      8
      +

      √

      6
      )
    • −
    • (
      −

      √

      6
      )
      (

      √

      5
      +

      √

      2
      )
  • (
    1
    2

    √

    42
    −

    √

    14
    −
    3
    −
    8
    3

    √

    3
    +
    1
    3

    √

    30
    )
  • (
    1
    2

    √

    42
    −
    4
    √

    14
    −
    4
    −
    8
    3

    √

    3
    +
    1
    3

    √

    30
    )
  • (
    1
    2

    √

    42
    −

    √

    14
    −
    4
    −
    8
    3

    √

    6
    +
    1
    3

    √

    30
    )
  • (
    1
    2

    √

    42
    −

    √

    14
    −
    4
    −
    8
    3

    √

    3
    +
    1
    3

    √

    30
    )
  • (
    1
    2

    √

    39
    −

    √

    14
    −
    4
    −
    8
    3

    √

    3
    +
    1
    3

    √

    30
    )
Question 10
10.
3.90 =
  • 39
    100
  • 39
  • 39
    1000
  • 390
  • 39
    10