EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Express
1
3
as a decimal correct to 1 decimal places
(i)
0.2
(ii)
0.4
(iii)
0.5
(iv)
0.3
(v)
0.1
Question
2
2.
Find the rational number at the point labelled with letter K
(i)
37
10
(ii)
39
8
(iii)
35
8
(iv)
37
6
(v)
37
8
Question
3
3.
The additive inverse of
1
5
is
(i)
5
1
(ii)
(
-1
5
)
(iii)
0
(iv)
(
-1
1
5
)
(v)
5
-1
Question
4
4.
Find the position of the decimal number 9.7 on the number line
(i)
S
(ii)
L
(iii)
H
(iv)
G
(v)
I
Question
5
5.
Express
77
81
as a decimal correct to 4 decimal places
(i)
1.0506
(ii)
0.9506
(iii)
0.7506
(iv)
1.1506
(v)
0.8506
Question
6
6.
The decimal number 0.702 lies between
(i)
{-2,-1}
(ii)
{2,3}
(iii)
{1,2}
(iv)
{0,1}
(v)
{-1,0}
Question
7
7.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
(
−
2
√
10
)
(
−
√
4
)
=
(i)
1.162
(ii)
4.162
(iii)
5.162
(iv)
3.162
(v)
2.162
Question
8
8.
5.462 =
(i)
2731
50
(ii)
2731
500
(iii)
2731
5000
(iv)
2731
5
(v)
2731
50000
Question
9
9.
√
6
✕
4
√
6
=
(i)
25
(ii)
24
(iii)
21
(iv)
27
(v)
23
Question
10
10.
Which of the following is a fifth order surd?
(i)
5
5
√
7
(ii)
(
−
5
4
√
6
)
(iii)
2
3
√
6
(iv)
(
−
5
√
4
)
(v)
7
√
5
Question
11
11.
Express
7
41
as a decimal correct to 2 decimal places
(i)
-0.03
(ii)
0.27
(iii)
0.02
(iv)
0.17
(v)
1.71
Question
12
12.
The multiplicative inverse of
1
9
is
(i)
10
(ii)
8
(iii)
9
1
(iv)
11
(v)
7
Question
13
13.
(
9
√
8
+
9
√
6
−
9
3
√
3
)
+
(
−
4
√
6
+
7
3
√
7
−
7
√
3
)
=
(i)
(
9
√
8
+
5
√
6
−
9
3
√
3
+
7
3
√
7
−
7
√
3
)
(ii)
(
9
√
8
+
5
4
√
6
−
9
3
√
3
+
7
3
√
7
−
7
√
3
)
(iii)
(
9
√
8
+
5
√
6
−
9
5
√
3
+
7
3
√
7
−
7
√
3
)
(iv)
(
9
√
6
+
5
√
6
−
9
3
√
3
+
7
3
√
7
−
7
√
3
)
(v)
(
9
√
8
+
5
√
6
−
9
3
√
3
+
7
3
√
9
−
7
√
3
)
Question
14
14.
Find the difference between the values of numbers at point A and B
(i)
1
3
(ii)
(
-1
3
)
(iii)
-1
(iv)
(
-1
5
)
Question
15
15.
Which of the following is a decimal fraction?
(i)
14
9
(ii)
11
19
(iii)
8
100
(iv)
13
7
12
(v)
15
3
8
Question
16
16.
Convert the fraction
712
27
to non-terminating recurring decimal
(i)
0.26
370
(ii)
2.6
370
(iii)
2637.
037
(iv)
26.
370
(v)
263.
703
Question
17
17.
(
−
7
√
3
)
✕
5
√
8
=
(i)
(
−
70
√
4
)
(ii)
(
−
70
√
6
)
(iii)
(
−
70
√
8
)
(iv)
(
−
420
)
(v)
(
−
70
4
√
6
)
Question
18
18.
Which of the following is a vulgar fraction?
(i)
8
1000
(ii)
5
10
(iii)
4
10000
(iv)
7
6
(v)
4
100
Question
19
19.
Find the sum of the rational numbers at the points labelled with letters J and K
(i)
23
2
(ii)
91
8
(iii)
45
4
(iv)
113
10
(v)
111
10
Question
20
20.
The decimal number -7.073 lies between
(i)
{-7.072,-7.071}
(ii)
{-7.075,-7.074}
(iii)
{-7.083,-7.063}
(iv)
{-7.063,-7.053}
(v)
{-7.093,-7.083}
Question
21
21.
Which of the following is true?
(i)
1
5
>
6
13
(ii)
5
6
<
12
13
(iii)
2
11
<
1
11
(iv)
5
10
<
3
7
(v)
4
8
>
4
6
Question
22
22.
Find the position of the rational number
(
-22
5
)
on the number line
(i)
R
(ii)
H
(iii)
F
(iv)
L
(v)
K
Question
23
23.
14
√
4
✕
14
√
10
=
(i)
12
√
40
(ii)
14
√
37
(iii)
14
√
42
(iv)
14
√
40
(v)
16
√
40
Question
24
24.
Find the decimal number at the point labelled with letter G
(i)
8.3
(ii)
8.2
(iii)
8.1
(iv)
7.6
(v)
7.8
Question
25
25.
(
−
2
√
7
−
7
√
3
+
6
√
5
)
−
(
−
8
√
5
−
9
√
6
−
8
3
√
9
)
=
(i)
(
−
2
√
7
−
7
√
3
+
14
√
5
+
9
√
8
+
8
3
√
9
)
(ii)
(
−
2
√
7
−
7
4
√
3
+
14
√
5
+
9
√
6
+
8
3
√
9
)
(iii)
(
−
2
√
5
−
7
√
3
+
14
√
5
+
9
√
6
+
8
3
√
9
)
(iv)
(
−
2
√
7
−
7
√
3
+
14
√
5
+
9
√
6
+
8
3
√
9
)
(v)
(
−
2
√
7
−
7
√
3
+
14
4
√
5
+
9
√
6
+
8
3
√
9
)
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (iv)
8) (ii)
9) (ii)
10) (i)
11) (iv)
12) (iii)
13) (i)
14) (ii)
15) (iii)
16) (iv)
17) (ii)
18) (iv)
19) (iv)
20) (iii)
21) (ii)
22) (ii)
23) (iv)
24) (v)
25) (iv)
