ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Real Numbers
Question 1
1.
    • Rationalise the denominator of
    • 1
      (
      −
      9

      √

      8
      )
  • (
    −
    1
    36
    4
    √

    2
    )
  • (
    −
    1
    18
    )
  • (
    −
    1
    36

    √

    -1
    )
  • (
    −
    1
    36

    √

    5
    )
  • (
    −
    1
    36

    √

    2
    )
Question 2
2.
Find the product of the rational numbers at the points labelled with letters Q and R
  • 739
    18
  • 899
    22
  • 821
    20
  • 819
    20
  • 817
    20
Question 3
3.
    • Rationalise the denominator of
    • 1
      (
      −

      √

      5
      +

      √

      3
      )
  • (
    −
    1
    2

    √

    2
    −
    1
    2

    √

    3
    )
  • (
    −
    1
    2

    √

    5
    −
    1
    2
    4
    √

    3
    )
  • (
    −
    1
    2

    √

    5
    −
    1
    2

    √

    3
    )
  • (
    −
    1
    2

    √

    5
    −
    3
    2
    )
  • (
    −
    1
    2

    √

    8
    −
    1
    2

    √

    3
    )
Question 4
4.
Which of the following are true?
a)
11
18
✕
(
23
14
+
11
14
)
=
(
11
18
✕
23
14
)
+
(
11
18
✕
11
14
)
b)
7
13
−
(
31
8
✕
15
7
)
=
(
7
13
−
31
8
)
✕
(
7
13
−
15
7
)
c)
11
18
✕
(
31
8
−
19
11
)
=
(
11
18
✕
31
8
)
−
(
11
18
✕
19
11
)
d)
7
13
÷
(
23
14
+
10
17
)
=
(
7
13
÷
23
14
)
+
(
7
13
÷
10
17
)
  • {b,c,a}
  • {a,c}
  • {d,c}
  • {b,d,a}
  • {b,a}
Question 5
5.
Find the rational number at the point labelled with letter G
  • -7
  • (
    -51
    5
    		 )
  • (
    -17
    3
    		 )
  • (
    -53
    7
    		 )
  • (
    -51
    7
    		 )
Question 6
6.
Find the rational number at the point labelled with letter I
  • 9
  • 49
    5
  • 47
    5
  • 47
    3
  • 47
    7
Question 7
7.
Find the difference of the rational numbers at the points labelled with letters E and F
  • (
    -1
    5
    		 )
  • (
    -1
    3
    		 )
  • (
    -3
    5
    		 )
  • 1
    5
  • (
    -1
    7
    		 )
Question 8
8.
    • Rationalise the denominator of
    • 1
      (
      6

      √

      8
      +
      6

      √

      3
      )
  • (
    1
    15

    √

    2
    −
    1
    10
    )
  • (
    1
    15

    √

    2
    −
    1
    30

    √

    3
    )
  • (
    1
    15

    √

    4
    −
    1
    30

    √

    3
    )
  • (
    1
    15

    √

    -1
    −
    1
    30

    √

    3
    )
  • (
    1
    15

    √

    2
    −
    1
    30
    4
    √

    3
    )
Question 9
9.
Which of the following are true?
a)
11
15
+
63
16
=
63
16
+
11
15
b)
11
15
✕
19
6
=
19
6
✕
11
15
c)
4
7
÷
19
6
=
19
6
÷
4
7
d)
4
7
−
63
16
=
63
16
−
4
7
  • {c,a}
  • {a,b}
  • {d,b}
  • {c,b,a}
  • {c,d,a}
Question 10
10.
    • Find the position of the rational number
    • 26
      3
    • on the number line
  • O
  • D
  • S
  • G
  • M