EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Rationalise the denominator of
1
(
−
2
√
3
)
(i)
(
−
1
6
√
3
)
(ii)
(
−
1
6
)
(iii)
(
−
1
2
)
(iv)
(
−
1
6
√
5
)
(v)
(
−
1
6
4
√
3
)
Question
2
2.
Convert the fraction
113
9
to non-terminating recurring decimal
(i)
125.
5
(ii)
1255.
5
(iii)
0.12
5
(iv)
1.2
5
(v)
12.
5
Question
3
3.
5.4 =
(i)
54
(ii)
27
5
(iii)
27
50
(iv)
540
(v)
27
500
Question
4
4.
What fraction of the figure is shaded?
(i)
9
83
(ii)
9
79
(iii)
11
81
(iv)
1
9
(v)
7
81
Question
5
5.
Which of the following lists represent similar surds?
(i)
√
27
,
10
√
34
,
√
13
,
8
√
4
,
4
√
24
(ii)
8
4
√
38
,
7
4
√
38
,
9
4
√
38
,
7
4
√
38
,
4
6
√
38
(iii)
7
4
√
38
,
8
4
√
38
,
7
4
√
38
,
4
4
√
41
,
9
4
√
38
(iv)
10
√
34
,
√
27
,
4
√
24
,
8
√
4
,
√
13
(v)
8
4
√
38
,
7
4
√
38
,
9
4
√
38
,
7
4
√
38
,
4
4
√
38
Question
6
6.
Express
17
30
as a decimal correct to 2 decimal places
(i)
0.67
(ii)
0.06
(iii)
5.67
(iv)
0.37
(v)
0.57
Question
7
7.
3
√
5
+
(
−
√
5
)
=
(i)
2
4
√
5
(ii)
2
√
7
(iii)
2
√
5
(iv)
2
√
2
(v)
10
Question
8
8.
Rationalise the denominator of
1
(
√
2
−
3
√
3
−
2
√
4
)
(i)
(
41
47
√
2
+
27
47
√
3
−
52
47
−
24
47
√
9
)
(ii)
(
41
47
√
1
2
+
27
47
√
3
−
52
47
−
24
47
√
6
)
(iii)
(
41
47
√
2
+
27
47
4
√
3
−
52
47
−
24
47
√
6
)
(iv)
(
41
47
√
2
+
27
47
√
3
−
52
47
−
24
47
√
6
)
(v)
(
41
47
√
2
+
27
47
√
3
−
52
49
−
24
47
√
6
)
Question
9
9.
What fraction of the figure is shaded?
(i)
7
16
(ii)
5
16
(iii)
9
16
(iv)
1
2
(v)
7
18
Question
10
10.
Simplify the expression
(-6)
8
✕
(-7)
8
✕
(-7)
8
(i)
(-297)
8
(ii)
(-294)
8
(iii)
(-294)
7
(iv)
(-292)
8
(v)
(-294)
9
Question
11
11.
Express
66
59
as a decimal correct to 3 decimal places
(i)
1.119
(ii)
1.019
(iii)
0.919
(iv)
1.219
(v)
1.319
Question
12
12.
4
√
10
4
√
6
=
(i)
4
√
7
3
(ii)
4
√
5
3
(iii)
6
√
5
3
(iv)
1
(v)
√
5
3
Question
13
13.
Express
5
8
as a decimal correct to 2 decimal places
(i)
0.06
(ii)
0.72
(iii)
0.62
(iv)
0.42
(v)
6.25
Question
14
14.
19.60 =
(i)
196
(ii)
1960
(iii)
98
5
(iv)
49
250
(v)
49
25
Question
15
15.
What is the decimal number represented by the shaded region?
(i)
0.69
(ii)
0.79
(iii)
0.59
(iv)
0.39
(v)
0.49
Question
16
16.
Find the period of the recurring decimal
21.
148
(i)
3
(ii)
4
(iii)
14
(iv)
148
(v)
1480
Question
17
17.
Simplify the expression
-6
(
7
5
)
✕
-7
(
7
5
)
✕
-3
(
7
5
)
(i)
-16
(
9
5
)
(ii)
-15
(
7
5
)
(iii)
-17
(
7
5
)
(iv)
1
(v)
-16
(
7
5
)
Question
18
18.
Find the decimal number at the point labelled with letter T
(i)
6.8
(ii)
6.5
(iii)
7.1
(iv)
7.3
(v)
7.4
Question
19
19.
The conjugate of
(
19
−
5
√
3
)
=
(i)
(
19
+
5
√
3
)
(ii)
(
16
+
5
√
3
)
(iii)
(
21
+
5
√
3
)
(iv)
(
19
+
15
)
(v)
(
19
+
5
4
√
3
)
Question
20
20.
Rationalise the denominator of
(
√
7
+
2
√
3
)
(
2
√
6
+
5
√
2
)
=
(i)
(
−
1
13
√
42
−
2
13
√
18
+
5
26
√
14
+
5
13
√
6
)
(ii)
(
−
1
13
√
40
−
2
13
√
18
+
5
26
√
14
+
5
13
√
6
)
(iii)
(
−
1
13
√
42
−
2
13
√
18
+
5
26
4
√
14
+
5
13
√
6
)
(iv)
(
−
1
13
√
42
−
2
13
√
18
+
5
26
√
14
+
5
13
√
8
)
(v)
(
−
1
13
√
42
−
2
13
4
√
18
+
5
26
√
14
+
5
13
√
6
)
Question
21
21.
Find the value of
(
-3
4
)
625
(i)
3
125
(ii)
1
125
(iii)
1
127
(iv)
(
-1
125
)
(v)
1
123
Question
22
22.
Simplify
4
2
✕
3
-2
✕
(-3)
-2
2
3
✕
(-3)
2
✕
4
3
(i)
0
2
5
✕
3
6
(ii)
1
2
5
✕
6
6
(iii)
1
2
5
✕
3
6
(iv)
1
(-1)
5
✕
3
6
(v)
2
2
5
✕
3
6
Question
23
23.
What fraction of the figure is shaded?
(i)
13
18
(ii)
12
17
(iii)
2
3
(iv)
11
18
(v)
12
19
Question
24
24.
Convert the fraction
34
9
to non-terminating recurring decimal
(i)
0.3
7
(ii)
377.
7
(iii)
37.
7
(iv)
3.
7
(v)
0.03
7
Question
25
25.
Simplify the expression
(-9)
-5
✕
(-2)
-5
✕
(-6)
-5
(i)
(-111)
-5
(ii)
(-106)
-5
(iii)
(-108)
-4
(iv)
(-108)
-5
(v)
(-108)
-6
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (iv)
5) (v)
6) (v)
7) (iii)
8) (iv)
9) (i)
10) (ii)
11) (i)
12) (ii)
13) (iii)
14) (iii)
15) (iii)
16) (iv)
17) (v)
18) (i)
19) (i)
20) (i)
21) (ii)
22) (iii)
23) (iii)
24) (iv)
25) (iv)
