EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Express
2
3
as a decimal correct to 2 decimal places
(i)
0.77
(ii)
0.47
(iii)
0.67
(iv)
0.57
(v)
0.87
Question
2
2.
Which of the following is a vulgar fraction?
(i)
9
100
(ii)
7
8
(iii)
3
10000
(iv)
4
1000
(v)
9
10
Question
3
3.
24
√
5
=
(i)
5
24
(ii)
(
1
24
)
8
(iii)
(
1
22
)
5
(iv)
(
1
24
)
5
(v)
(
1
24
)
2
Question
4
4.
Rationalise the denominator of
1
(
−
2
√
2
+
√
5
−
√
3
)
(i)
(
1
10
√
5
−
1
6
√
1
3
−
1
15
√
30
)
(ii)
(
1
10
√
5
−
1
6
√
5
−
1
15
√
30
)
(iii)
(
1
10
√
5
−
1
6
√
3
−
1
15
√
30
)
(iv)
(
1
10
√
5
−
1
6
√
3
−
2
)
(v)
(
1
10
√
5
−
1
6
√
3
−
1
15
4
√
30
)
Question
5
5.
Express
4417
10000
as a decimal correct to 4 decimal places
(i)
4.417
(ii)
0.4417
(iii)
0.0442
(iv)
0.5417
(v)
0.2417
Question
6
6.
1.9 =
(i)
19
(ii)
190
(iii)
19
1000
(iv)
19
10
(v)
19
100
Question
7
7.
Which of the following is a decimal fraction?
(i)
8
5
(ii)
4
7
(iii)
21
3
11
(iv)
10
4
7
(v)
7
10
Question
8
8.
The rationalising factor of
(
10
+
7
√
3
)
=
(i)
(
8
−
7
√
3
)
(ii)
(
10
−
7
√
3
)
(iii)
(
10
−
21
)
(iv)
(
13
−
7
√
3
)
(v)
(
10
−
7
4
√
3
)
Question
9
9.
Which of the following are true?
a)
20
3
−
(
133
15
−
14
9
)
=
(
20
3
−
133
15
)
−
14
9
b)
20
7
+
(
133
15
+
17
8
)
=
(
20
7
+
133
15
)
+
17
8
c)
20
7
✕
(
164
17
✕
3
11
)
=
(
20
7
✕
164
17
)
✕
3
11
d)
20
3
÷
(
164
17
÷
11
9
)
=
(
20
3
÷
164
17
)
÷
11
9
(i)
{a,b}
(ii)
{b,c}
(iii)
{a,c,b}
(iv)
{d,c}
(v)
{a,d,b}
Question
10
10.
Find the equation representing the following number line diagram
(i)
11
15
+
1
15
=
4
5
(ii)
2
3
+
1
15
=
11
15
(iii)
11
15
−
4
15
=
7
15
(iv)
4
5
+
1
5
=
1
1
(v)
13
15
−
1
15
=
4
5
Question
11
11.
Which of the following symbols represent the set of Rational numbers ?
(i)
Z
(ii)
Q
(iii)
N
(iv)
Q'
(v)
R
Question
12
12.
Convert the fraction
1
3
to non-terminating recurring decimal
(i)
0.0
3
(ii)
33.
3
(iii)
0.
0
(iv)
3.
3
(v)
0.
3
Question
13
13.
3
√
9
✕
4
√
3
=
(i)
√
3888
(ii)
√
3890
(iii)
√
3885
(iv)
3888
(v)
4
√
3888
Question
14
14.
Express
19
17
as a decimal correct to 4 decimal places
(i)
1.2176
(ii)
1.1176
(iii)
1.0176
(iv)
0.9176
(v)
1.3176
Question
15
15.
The decimal number 0.824 lies between
(i)
{-1,0}
(ii)
{-2,-1}
(iii)
{1,2}
(iv)
{0,1}
(v)
{2,3}
Question
16
16.
Which of the following is true?
(i)
30
19
>
13
12
(ii)
38
9
<
34
31
(iii)
35
11
>
31
7
(iv)
30
23
>
29
9
(v)
37
9
<
26
7
Question
17
17.
Which of the following is a unit fraction?
(i)
17
1
3
(ii)
13
15
16
(iii)
1
13
(iv)
4
9
(v)
15
14
Question
18
18.
Express
18
23
as a decimal correct to 3 decimal places
(i)
0.883
(ii)
0.583
(iii)
0.683
(iv)
0.783
(v)
0.983
Question
19
19.
Which of the following is a decimal fraction?
(i)
2
16
(ii)
7
4
5
(iii)
9
1000
(iv)
16
7
(v)
23
1
2
Question
20
20.
The decimal number 0.153 lies between
(i)
{0,1}
(ii)
{2,3}
(iii)
{-2,-1}
(iv)
{-1,0}
(v)
{1,2}
Question
21
21.
Rationalise the denominator of
1
9
√
4
(i)
1
6
(ii)
1
18
(iii)
1
16
(iv)
(
−
1
18
)
(v)
1
20
Question
22
22.
Which of the following are true?
a)
7
19
+
34
3
=
34
3
+
7
19
b)
3
11
−
34
3
=
34
3
−
3
11
c)
3
11
÷
94
19
=
94
19
÷
3
11
d)
7
19
✕
94
19
=
94
19
✕
7
19
(i)
{b,a}
(ii)
{c,d}
(iii)
{b,d,a}
(iv)
{b,c,a}
(v)
{a,d}
Question
23
23.
(
7
3
√
5
+
6
3
√
8
+
9
3
√
2
)
−
(
3
√
3
+
2
3
√
5
+
3
3
√
6
)
=
(i)
(
5
3
√
5
+
6
3
√
8
+
9
3
√
2
−
3
√
3
−
3
3
√
6
)
(ii)
(
5
3
√
3
+
6
3
√
8
+
9
3
√
2
−
3
√
3
−
3
3
√
6
)
(iii)
(
5
3
√
5
+
6
3
√
8
+
9
5
√
2
−
3
√
3
−
3
3
√
6
)
(iv)
(
5
3
√
5
+
6
3
√
8
+
9
3
√
2
−
3
√
5
−
3
3
√
6
)
(v)
(
5
3
√
5
+
6
5
√
8
+
9
3
√
2
−
3
√
3
−
3
3
√
6
)
Question
24
24.
(
−
5
√
7
+
3
√
8
)
✕
(
9
√
8
+
2
√
3
)
=
(i)
(
−
90
√
12
+
216
−
10
√
21
+
12
√
6
)
(ii)
(
−
90
√
14
+
216
−
10
√
21
+
12
√
6
)
(iii)
(
−
90
√
14
+
217
−
10
√
21
+
12
√
6
)
(iv)
(
−
90
√
14
+
216
−
10
4
√
21
+
12
√
6
)
(v)
(
−
90
√
14
+
216
−
10
√
21
+
12
√
8
)
Question
25
25.
(
−
3
√
9
)
✕
8
√
7
=
(i)
(
−
72
√
4
)
(ii)
(
−
72
√
9
)
(iii)
(
−
504
)
(iv)
(
−
72
4
√
7
)
(v)
(
−
72
√
7
)
Assignment Key
1) (iii)
2) (ii)
3) (iv)
4) (iii)
5) (ii)
6) (iv)
7) (v)
8) (ii)
9) (ii)
10) (i)
11) (ii)
12) (v)
13) (i)
14) (ii)
15) (iv)
16) (i)
17) (iii)
18) (iv)
19) (iii)
20) (i)
21) (ii)
22) (v)
23) (i)
24) (ii)
25) (v)
