EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
(
−
8
3
√
9
−
√
4
+
3
√
7
)
+
(
−
4
3
√
2
+
2
√
7
+
√
5
)
=
(i)
(
−
8
3
√
6
−
√
4
+
3
√
7
−
4
3
√
2
+
2
√
7
+
√
5
)
(ii)
(
−
8
3
√
9
−
√
4
+
3
√
7
−
4
3
√
4
+
2
√
7
+
√
5
)
(iii)
(
−
8
3
√
9
−
√
4
+
3
√
7
−
4
3
√
2
+
2
√
7
+
√
5
)
(iv)
(
−
8
3
√
9
−
4
√
4
+
3
√
7
−
4
3
√
2
+
2
√
7
+
√
5
)
(v)
(
−
8
3
√
9
−
√
4
+
5
√
7
−
4
3
√
2
+
2
√
7
+
√
5
)
Question
2
2.
If
√
2209
=
47
,
find the value of
√
22.09
(i)
0.5
(ii)
2.7
(iii)
47
(iv)
4.7
(v)
6.7
Question
3
3.
Express
259
1000
as a decimal correct to 3 decimal places
(i)
2.59
(ii)
0.259
(iii)
0.026
(iv)
0.059
(v)
0.359
Question
4
4.
7
√
7
7
√
7
=
(i)
(
−
1
)
(ii)
1
(iii)
2
(iv)
3
(v)
0
Question
5
5.
The solution of
√
8
lies between
(i)
4 and 5
(ii)
3 and 4
(iii)
1 and 2
(iv)
2 and 3
(v)
0 and 1
Question
6
6.
4
√
√
3
=
(i)
4
√
3
3
(ii)
8
√
5
(iii)
4
√
3
(iv)
8
√
1
3
(v)
8
√
3
Question
7
7.
6
√
2
+
4
√
2
=
(i)
20
(ii)
10
√
-1
(iii)
10
4
√
2
(iv)
10
√
4
(v)
10
√
2
Question
8
8.
Which of the following fractions converts to a terminating decimal?
(i)
211
18
(ii)
5700
64
(iii)
1
3
(iv)
1
60
(v)
2
51
Question
9
9.
Express
47
100
as a decimal correct to 2 decimal places
(i)
0.27
(ii)
4.7
(iii)
0.57
(iv)
0.47
(v)
0.05
Question
10
10.
The conjugate of
(
4
√
2
+
5
√
5
)
=
(i)
(
4
√
2
−
25
)
(ii)
(
4
√
1
2
−
5
√
5
)
(iii)
(
4
√
2
−
5
√
5
)
(iv)
(
4
√
5
−
5
√
5
)
(v)
(
4
√
2
−
5
4
√
5
)
Question
11
11.
Simplify
(
−
√
6
)
(
−
3
−
√
6
)
−
√
2
(
√
2
−
√
5
)
−
√
9
(
√
7
+
√
3
)
(i)
(
√
6
−
4
3
+
1
3
√
10
−
3
4
√
7
+
3
4
√
3
)
(ii)
(
√
4
−
4
3
+
1
3
√
10
−
3
4
√
7
+
3
4
√
3
)
(iii)
(
√
6
−
4
3
+
1
3
4
√
10
−
3
4
√
7
+
3
4
√
3
)
(iv)
(
√
6
−
4
5
+
1
3
√
10
−
3
4
√
7
+
3
4
√
3
)
(v)
(
√
6
−
4
3
+
1
3
√
10
−
3
4
√
10
+
3
4
√
3
)
Question
12
12.
Rationalise the denominator of
(
−
√
4
−
√
5
)
(
−
4
√
7
+
5
√
2
)
=
(i)
(
4
31
√
7
+
2
31
√
35
+
5
31
√
2
+
5
62
√
12
)
(ii)
(
4
31
√
7
+
2
31
√
35
+
5
31
√
2
+
5
62
√
10
)
(iii)
(
4
31
√
7
+
2
31
4
√
35
+
5
31
√
2
+
5
62
√
10
)
(iv)
(
4
31
√
5
+
2
31
√
35
+
5
31
√
2
+
5
62
√
10
)
(v)
(
4
31
√
7
+
2
31
√
35
+
5
31
4
√
2
+
5
62
√
10
)
Question
13
13.
Simplify the expression
5
-2
✕
-2
(
5
4
)
(i)
-2
(
27
4
)
(ii)
-1
(
25
4
)
(iii)
-3
(
25
4
)
(iv)
-2
(
25
4
)
(v)
-2
(
23
4
)
Question
14
14.
[
-5
]
-3/4
(
-5
8
)
=
(i)
(
15/4
)
(
-5
8
)
(ii)
(
15/4
)
(
-3
8
)
(iii)
(
15/4
)
(
-7
8
)
(iv)
(
9/2
)
(
-5
8
)
(v)
(
7/2
)
(
-5
8
)
Question
15
15.
(
6
3
√
6
−
4
3
√
4
−
6
3
√
3
)
−
(
−
5
3
√
9
−
√
9
+
3
√
7
)
=
(i)
(
6
3
√
6
−
4
5
√
4
−
6
3
√
3
+
5
3
√
9
+
√
9
−
3
√
7
)
(ii)
(
6
3
√
6
−
4
3
√
4
−
6
5
√
3
+
5
3
√
9
+
√
9
−
3
√
7
)
(iii)
(
6
3
√
4
−
4
3
√
4
−
6
3
√
3
+
5
3
√
9
+
√
9
−
3
√
7
)
(iv)
(
6
3
√
6
−
4
3
√
4
−
6
3
√
3
+
5
3
√
9
+
√
9
−
3
√
7
)
(v)
(
6
3
√
6
−
4
3
√
4
−
6
3
√
3
+
5
3
√
11
+
√
9
−
3
√
7
)
Question
16
16.
Convert the fraction
541
18
to non-terminating recurring decimal
(i)
3.
0
(ii)
3005.
5
(iii)
300.
5
(iv)
0.3
0
(v)
30.0
5
Question
17
17.
(
4
3
√
5
−
9
3
√
2
+
3
3
√
6
)
+
(
7
3
√
8
−
6
3
√
3
−
6
3
√
4
)
=
(i)
(
4
3
√
5
−
9
3
√
2
+
3
5
√
6
+
7
3
√
8
−
6
3
√
3
−
6
3
√
4
)
(ii)
(
4
3
√
5
−
9
3
√
2
+
3
3
√
6
+
7
3
√
8
−
6
3
√
3
−
6
3
√
4
)
(iii)
(
4
3
√
5
−
9
5
√
2
+
3
3
√
6
+
7
3
√
8
−
6
3
√
3
−
6
3
√
4
)
(iv)
(
4
3
√
3
−
9
3
√
2
+
3
3
√
6
+
7
3
√
8
−
6
3
√
3
−
6
3
√
4
)
(v)
(
4
3
√
5
−
9
3
√
2
+
3
3
√
6
+
7
3
√
11
−
6
3
√
3
−
6
3
√
4
)
Question
18
18.
Which of the following lists represent dissimilar surds?
(i)
17
6
√
19
,
4
6
√
19
,
14
6
√
19
,
6
6
√
19
,
18
6
√
19
(ii)
18
8
√
21
,
5
8
√
21
,
15
8
√
21
,
7
8
√
21
,
19
8
√
21
(iii)
10
√
15
,
7
√
2
,
√
26
,
6
√
16
,
5
√
33
(iv)
18
4
√
21
,
5
4
√
21
,
15
4
√
21
,
7
4
√
21
,
19
4
√
21
(v)
19
6
√
23
,
6
6
√
23
,
16
6
√
23
,
8
6
√
23
,
20
6
√
23
Question
19
19.
Which of the following is a biquadratic surd?
(i)
(
−
3
3
√
9
)
(ii)
√
7
(iii)
8
√
8
(iv)
(
−
3
5
√
5
)
(v)
4
4
√
6
Question
20
20.
Simplify the expression
(
-7
5
)
6
✕
6
-3
✕
(
-9
2
)
6
(i)
(
-89
10
)
6
(ii)
(
-35
4
)
6
(iii)
(
-73
8
)
6
(iv)
(
-89
10
)
3
(v)
(
-89
10
)
9
Question
21
21.
Simplify
(-3)
-2
✕
3
-2
✕
(-3)
-3
✕
(-4)
-2
4
-3
✕
(-3)
-2
✕
3
-2
(i)
-1
✕
2
2
1
(ii)
-1
✕
2
3
3
(iii)
(-1)
2
✕
2
2
3
3
(iv)
-1
✕
2
2
3
3
(v)
-1
✕
2
2
6
3
Question
22
22.
The decimal number 1.51 lies between
(i)
{1.31,1.41}
(ii)
{1.52,1.53}
(iii)
{1.61,1.71}
(iv)
{1.49,1.50}
(v)
{1.41,1.61}
Question
23
23.
What fraction of the figure is shaded?
(i)
(
-1
6
)
(ii)
1
4
(iii)
1
8
(iv)
1
6
(v)
1
2
Question
24
24.
Simplify
(-3)
2
✕
(-2)
-2
✕
5
-2
(-5)
2
✕
(-5)
2
✕
4
-2
(i)
2
(
6
125
)
(ii)
2
(
8
125
)
(iii)
2
(
4
125
)
(iv)
3
(
6
125
)
(v)
6
125
Question
25
25.
Simplify the expression
6
6
✕
6
3
✕
6
6
(i)
6
14
(ii)
8
15
(iii)
6
15
(iv)
6
16
(v)
3
15
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (ii)
5) (iv)
6) (v)
7) (v)
8) (ii)
9) (iv)
10) (iii)
11) (i)
12) (ii)
13) (iv)
14) (i)
15) (iv)
16) (v)
17) (ii)
18) (iii)
19) (v)
20) (i)
21) (iv)
22) (v)
23) (iv)
24) (i)
25) (iii)
