EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The decimal number 336.95 lies between
(i)
{334,335}
(ii)
{337,338}
(iii)
{336,337}
(iv)
{335,336}
(v)
{338,339}
Question
2
2.
Express
1
3
as a decimal correct to 1 decimal places
(i)
0.5
(ii)
0.2
(iii)
0.1
(iv)
0.4
(v)
0.3
Question
3
3.
Rationalise the denominator of
(
−
3
√
6
−
2
√
5
)
(
−
3
√
7
+
4
√
9
)
=
(i)
(
−
1
9
√
39
−
2
27
√
35
−
4
9
√
6
−
8
27
√
5
)
(ii)
(
−
1
9
√
42
−
2
27
4
√
35
−
4
9
√
6
−
8
27
√
5
)
(iii)
(
−
1
9
√
42
−
2
27
√
35
−
4
9
√
6
−
8
27
√
8
)
(iv)
(
−
1
9
√
42
−
2
27
√
35
−
4
9
√
6
−
8
27
√
5
)
(v)
(
−
1
9
√
42
−
2
27
√
35
−
4
9
4
√
6
−
8
27
√
5
)
Question
4
4.
Which of the following is true?
(i)
5
12
<
1
13
(ii)
7
9
>
5
15
(iii)
3
5
<
2
4
(iv)
14
20
<
5
10
(v)
8
17
>
13
16
Question
5
5.
(
−
4
3
√
9
−
3
3
√
3
−
4
3
√
2
)
−
(
4
3
√
3
+
3
√
7
+
8
3
√
8
)
=
(i)
(
−
4
3
√
9
−
7
3
√
3
−
4
5
√
2
−
3
√
7
−
8
3
√
8
)
(ii)
(
−
4
3
√
9
−
7
5
√
3
−
4
3
√
2
−
3
√
7
−
8
3
√
8
)
(iii)
(
−
4
3
√
7
−
7
3
√
3
−
4
3
√
2
−
3
√
7
−
8
3
√
8
)
(iv)
(
−
4
3
√
9
−
7
3
√
3
−
4
3
√
2
−
3
√
7
−
8
3
√
8
)
(v)
(
−
4
3
√
9
−
7
3
√
3
−
4
3
√
2
−
3
√
10
−
8
3
√
8
)
Question
6
6.
9.9 =
(i)
990
(ii)
99
1000
(iii)
99
10
(iv)
99
(v)
99
100
Question
7
7.
6
√
6
÷
5
√
4
=
(i)
3
5
√
6
(ii)
3
5
√
9
(iii)
18
5
(iv)
3
5
4
√
6
(v)
3
5
√
3
Question
8
8.
The decimal number 72.1 lies between
(i)
{72,73}
(ii)
{70,71}
(iii)
{71,72}
(iv)
{73,74}
(v)
{74,75}
Question
9
9.
Rationalise the denominator of
(
−
√
2
−
√
5
)
(
−
√
8
+
√
3
)
=
(i)
(
4
5
+
2
5
√
10
+
1
5
4
√
6
+
1
5
√
15
)
(ii)
(
4
5
+
2
5
4
√
10
+
1
5
√
6
+
1
5
√
15
)
(iii)
(
4
5
+
2
5
√
10
+
1
5
√
6
+
1
5
√
15
)
(iv)
(
4
5
+
2
5
√
10
+
1
5
√
6
+
1
5
√
17
)
(v)
(
2
5
+
2
5
√
10
+
1
5
√
6
+
1
5
√
15
)
Question
10
10.
5.4 =
(i)
27
500
(ii)
54
(iii)
27
5
(iv)
27
50
(v)
540
Question
11
11.
2
√
9
✕
(
−
2
√
3
)
=
(i)
(
−
12
4
√
3
)
(ii)
(
−
12
)
(iii)
(
−
36
)
(iv)
(
−
12
√
5
)
(v)
(
−
12
√
3
)
Question
12
12.
The rationalising factor of
(
−
8
√
42
)
=
(i)
4
√
42
(ii)
√
42
(iii)
√
39
(iv)
√
44
(v)
42
Question
13
13.
10.18 =
(i)
509
500
(ii)
509
5
(iii)
509
50
(iv)
509
5000
(v)
1018
Question
14
14.
Rationalise the denominator of
1
(
−
7
√
5
)
(i)
(
−
1
35
4
√
5
)
(ii)
(
−
1
35
√
3
)
(iii)
(
−
1
35
√
5
)
(iv)
(
−
1
7
)
(v)
(
−
1
35
√
8
)
Question
15
15.
The recurring part of the decimal
15.
7
is
(i)
15.7
(ii)
7
(iii)
777
(iv)
771
(v)
77
Question
16
16.
Find the position of the rational number
22
3
on the number line
(i)
O
(ii)
E
(iii)
R
(iv)
G
(v)
N
Question
17
17.
Convert the fraction
251
27
to non-terminating recurring decimal
(i)
0.09
296
(ii)
929.
629
(iii)
92.
962
(iv)
0.9
296
(v)
9.
296
Question
18
18.
Express
23
72
as a decimal correct to 3 decimal places
(i)
0.519
(ii)
0.219
(iii)
0.119
(iv)
0.419
(v)
0.319
Question
19
19.
The decimal number -3.0065 lies between
(i)
{-3.0075,-3.0055}
(ii)
{-3.0067,-3.0066}
(iii)
{-3.0085,-3.0075}
(iv)
{-3.0064,-3.0063}
(v)
{-3.0055,-3.0045}
Question
20
20.
The multiplicative inverse of
(
-4
7
)
is
(i)
(
-7
4
)
(ii)
(
-3
4
)
(iii)
(
-3
3
4
)
(iv)
1
4
(v)
(
-2
3
4
)
Question
21
21.
Which of the following is a decimal fraction?
(i)
4
10
(ii)
12
4
19
(iii)
4
9
(iv)
3
5
6
(v)
7
6
Question
22
22.
Express
998
39
as a decimal correct to 3 decimal places
(i)
25.59
(ii)
25.39
(iii)
25.69
(iv)
25.79
(v)
25.49
Question
23
23.
The decimal number 4.54 lies between
(i)
{4.55,4.56}
(ii)
{4.44,4.64}
(iii)
{4.52,4.53}
(iv)
{4.34,4.44}
(v)
{4.64,4.74}
Question
24
24.
Which of the following are true?
a)
10
13
✕
(
12
11
+
19
6
)
=
(
10
13
✕
12
11
)
+
(
10
13
✕
19
6
)
b)
10
13
✕
(
167
17
−
3
4
)
=
(
10
13
✕
167
17
)
−
(
10
13
✕
3
4
)
c)
11
5
−
(
167
17
✕
1
12
)
=
(
11
5
−
167
17
)
✕
(
11
5
−
1
12
)
d)
11
5
÷
(
12
11
+
19
10
)
=
(
11
5
÷
12
11
)
+
(
11
5
÷
19
10
)
(i)
{c,d,a}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{c,b,a}
(v)
{a,b}
Question
25
25.
Find the difference of the rational numbers at the points labelled with letters S and T
(i)
0
(ii)
(
-2
5
)
(iii)
(
-2
7
)
(iv)
(
-4
5
)
(v)
(
-2
3
)
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (ii)
5) (iv)
6) (iii)
7) (i)
8) (i)
9) (iii)
10) (iii)
11) (v)
12) (ii)
13) (iii)
14) (iii)
15) (ii)
16) (ii)
17) (v)
18) (v)
19) (i)
20) (i)
21) (i)
22) (i)
23) (ii)
24) (v)
25) (ii)
