EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Find the rational number at the point labelled with letter R
(i)
(
-19
2
)
(ii)
(
-55
8
)
(iii)
(
-59
8
)
(iv)
(
-57
8
)
(v)
(
-57
10
)
Question
2
2.
Find the rational number at the point labelled with letter G
(i)
17
4
(ii)
17
6
(iii)
19
6
(iv)
5
2
(v)
17
8
Question
3
3.
What fraction of the figure is shaded?
(i)
1
3
(ii)
3
5
(iii)
5
3
(iv)
1
(v)
3
Question
4
4.
Which of the following is a pure surd?
(i)
(
1
+
√
7
)
(ii)
(
−
1
)
(iii)
(
√
8
+
√
3
−
√
4
)
(iv)
√
2
(v)
(
−
2
√
2
+
√
3
)
Question
5
5.
Which of the following is a compound surd?
(i)
2
(ii)
√
384
(iii)
(
2
+
8
√
5
)
(iv)
(
−
5
√
3
−
2
−
3
√
7
)
(v)
5
√
2
Question
6
6.
The decimal number 5.30 lies between
(i)
{5.40,5.50}
(ii)
{5.28,5.29}
(iii)
{5.31,5.32}
(iv)
{5.20,5.40}
(v)
{5.10,5.20}
Question
7
7.
Rationalise the denominator of
1
(
−
√
5
−
4
√
3
+
5
√
2
)
(i)
(
−
31
317
√
5
−
28
951
√
3
+
5
317
4
√
2
−
40
951
√
30
)
(ii)
(
−
31
317
√
5
−
28
951
√
3
+
5
317
√
2
−
40
951
√
33
)
(iii)
(
−
31
317
√
5
−
28
951
√
3
+
5
317
√
2
−
40
951
√
30
)
(iv)
(
−
31
317
√
2
−
28
951
√
3
+
5
317
√
2
−
40
951
√
30
)
(v)
(
−
31
317
√
5
−
28
951
4
√
3
+
5
317
√
2
−
40
951
√
30
)
Question
8
8.
Express
622
847
as a decimal correct to 3 decimal places
(i)
0.634
(ii)
0.534
(iii)
0.834
(iv)
0.934
(v)
0.734
Question
9
9.
Convert the non-terminating recurring decimal
8.03703703703703...
to rational number
(i)
217
27
(ii)
217
29
(iii)
217
25
(iv)
73
9
(v)
215
27
Question
10
10.
Express
2
9
as a decimal correct to 2 decimal places
(i)
0.32
(ii)
0.02
(iii)
0.42
(iv)
0.22
(v)
0.12
Question
11
11.
Express
27
25
as a decimal correct to 2 decimal places
(i)
0.88
(ii)
1.08
(iii)
1.18
(iv)
0.11
(v)
10.8
Question
12
12.
Rationalise the denominator of
(
−
√
9
−
√
8
)
(
−
√
6
+
√
5
)
=
(i)
(
3
√
6
+
2
√
12
+
3
4
√
5
+
2
√
10
)
(ii)
(
3
√
4
+
2
√
12
+
3
√
5
+
2
√
10
)
(iii)
(
3
√
6
+
2
√
12
+
3
√
5
+
2
√
10
)
(iv)
(
3
√
6
+
2
4
√
12
+
3
√
5
+
2
√
10
)
(v)
(
3
√
6
+
2
√
12
+
3
√
5
+
2
√
12
)
Question
13
13.
Express
3
8
as a decimal correct to 2 decimal places
(i)
0.47
(ii)
0.38
(iii)
0.04
(iv)
3.75
(v)
0.17
Question
14
14.
13.98 =
(i)
1398
(ii)
699
50
(iii)
699
5000
(iv)
699
500
(v)
699
5
Question
15
15.
Convert the fraction
247
9
to non-terminating recurring decimal
(i)
0.27
4
(ii)
2744.
4
(iii)
27.
4
(iv)
274.
4
(v)
2.7
4
Question
16
16.
Find the difference between the values of numbers at point A and B
(i)
(
-1
6
)
(ii)
(
-1
4
)
(iii)
1
6
(iv)
(
-1
2
)
(v)
(
-1
8
)
Question
17
17.
Rationalise the denominator of
1
(
−
3
√
9
+
9
√
8
)
(i)
(
1
63
+
2
63
√
2
)
(ii)
(
1
63
+
4
63
)
(iii)
(
−
1
63
+
2
63
√
2
)
(iv)
(
1
21
+
2
63
√
2
)
(v)
(
1
63
+
2
63
4
√
2
)
Question
18
18.
Simplify
(-4)
2
✕
5
2
✕
(-5)
3
2
3
✕
(-4)
2
✕
4
3
✕
3
2
(i)
-1
✕
5
5
2
9
✕
1
(ii)
(-1)
2
✕
5
5
2
9
✕
3
2
(iii)
-1
✕
5
5
2
9
✕
3
2
(iv)
-1
✕
5
5
2
9
✕
6
2
(v)
-1
✕
5
4
2
9
✕
3
2
Question
19
19.
Which of the following is a cubic surd?
(i)
8
√
3
(ii)
3
√
7
(iii)
(
−
3
5
√
7
)
(iv)
2
4
√
3
(v)
(
−
4
√
4
)
Question
20
20.
If the length of AB = 2.4 cm and CB = 1 cm, find the value of x
(i)
√
1.7
cm
(ii)
√
1.3
cm
(iii)
√
1.4
cm
(iv)
1
cm
(v)
√
1.8
cm
Question
21
21.
If
√
5929
=
77
,
find the value of
√
0.5929
(i)
7.7
(ii)
0.08
(iii)
2.77
(iv)
8.77
(v)
0.77
Question
22
22.
Simplify the expression
-3
(
-7
2
)
✕
-3
(
-7
2
)
✕
-2
(
-7
2
)
(i)
-8
(
-7
2
)
(ii)
-7
(
-7
2
)
(iii)
-8
(
-9
2
)
(iv)
-9
(
-7
2
)
(v)
-8
(
-5
2
)
Question
23
23.
Simplify the expression
(
8
5
)
(-3)
✕
(
8
3
)
(-3)
(i)
(
72
17
)
(-3)
(ii)
(
64
15
)
(-3)
(iii)
(
64
15
)
(-6)
(iv)
(
64
15
)
(-1)
(v)
(
56
13
)
(-3)
Question
24
24.
(
2
√
7
−
3
√
6
−
3
√
5
)
−
(
−
9
√
3
−
9
√
6
+
6
√
4
)
=
(i)
(
2
√
5
+
6
√
6
−
3
√
5
+
9
√
3
−
6
√
4
)
(ii)
(
2
√
7
+
6
√
6
−
3
√
5
+
9
√
5
−
6
√
4
)
(iii)
(
2
√
7
+
6
4
√
6
−
3
√
5
+
9
√
3
−
6
√
4
)
(iv)
(
2
√
7
+
6
√
6
−
3
√
5
+
9
√
3
−
6
√
4
)
(v)
(
2
√
7
+
6
√
6
−
3
4
√
5
+
9
√
3
−
6
√
4
)
Question
25
25.
16
√
8
=
(i)
(
1
16
)
10
(ii)
(
1
16
)
8
(iii)
(
1
16
)
6
(iv)
(
1
14
)
8
(v)
8
16
Assignment Key
1) (iv)
2) (ii)
3) (iv)
4) (iv)
5) (iv)
6) (iv)
7) (iii)
8) (v)
9) (i)
10) (iv)
11) (ii)
12) (iii)
13) (ii)
14) (ii)
15) (iii)
16) (i)
17) (i)
18) (iii)
19) (ii)
20) (iii)
21) (v)
22) (i)
23) (ii)
24) (iv)
25) (ii)
