EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a biquadratic surd?
(i)
(
−
8
3
√
9
)
(ii)
(
−
6
√
8
)
(iii)
(
−
6
4
√
6
)
(iv)
(
−
4
5
√
2
)
(v)
(
−
9
√
7
)
Question
2
2.
Simplify the expression
(
-8/3
)
(
-5
6
)
✕
(
-9/5
)
(
-5
6
)
(i)
(
-67/15
)
(
-1
2
)
(ii)
(
-67/15
)
(
-5
6
)
(iii)
(
-67/15
)
(
-7
6
)
(iv)
(
-59/13
)
(
-5
6
)
(v)
(
-75/17
)
(
-5
6
)
Question
3
3.
-2
(
5
3
)
7
(
5
3
)
=
(i)
-9
(
7
3
)
(ii)
-9
(
5
3
)
(iii)
1
(iv)
-8
(
5
3
)
(v)
-10
(
5
3
)
Question
4
4.
Simplify the expression
(
-7/5
)
(
7
5
)
✕
-5
(
7
5
)
✕
(
-8/7
)
(
7
5
)
(i)
(
-264/35
)
(
7
5
)
(ii)
(
-250/33
)
(
7
5
)
(iii)
1
(iv)
(
-278/37
)
(
7
5
)
(v)
(
-264/35
)
(
9
5
)
Question
5
5.
(
2
√
2
−
4
√
9
)
✕
(
2
√
8
−
√
7
)
=
(i)
(
16
−
48
√
2
−
2
√
14
+
12
√
7
)
(ii)
(
16
−
48
√
2
−
2
4
√
14
+
12
√
7
)
(iii)
(
14
−
48
√
2
−
2
√
14
+
12
√
7
)
(iv)
(
16
−
48
√
2
−
2
√
14
+
12
√
9
)
(v)
(
16
−
48
4
√
2
−
2
√
14
+
12
√
7
)
Question
6
6.
Convert the fraction
1
3
to non-terminating recurring decimal
(i)
0.0
3
(ii)
33.
3
(iii)
3.
3
(iv)
0.
0
(v)
0.
3
Question
7
7.
Simplify the expression
5
-3
✕
5
-2
(i)
2
-5
(ii)
5
-4
(iii)
7
-5
(iv)
5
-5
(v)
5
-6
Question
8
8.
What fraction of the figure is shaded?
(i)
17
36
(ii)
17
38
(iii)
5
12
(iv)
19
36
(v)
1
2
Question
9
9.
Simplify
(-3)
-3
✕
3
-2
✕
5
-2
✕
5
-2
5
-3
✕
(-3)
-3
✕
3
-2
(i)
1
7
(ii)
0
5
(iii)
1
5
(iv)
1
2
(v)
2
5
Question
10
10.
4
√
8
8
√
8
=
(i)
1
4
(ii)
1
2
(iii)
3
2
(iv)
1
(v)
(
−
1
2
)
Question
11
11.
Find the sum of the rational numbers at the points labelled with letters D and E
(i)
139
10
(ii)
55
4
(iii)
141
10
(iv)
137
10
(v)
113
8
Question
12
12.
Which of the following is true?
(i)
2
17
>
8
11
(ii)
3
18
>
14
17
(iii)
1
17
<
8
13
(iv)
6
16
<
2
6
(v)
10
14
>
17
19
Question
13
13.
Simplify the expression
(
7/2
)
(
4
3
)
✕
(
3/2
)
(
4
3
)
(i)
2
5
(ii)
5
(
2
3
)
(iii)
6
(
4
3
)
(iv)
5
(
4
3
)
(v)
4
(
4
3
)
Question
14
14.
The decimal number 0.0092 lies between
(i)
{0.0072,0.0082}
(ii)
{0.0093,0.0094}
(iii)
{0.0090,0.0091}
(iv)
{0.0102,0.0112}
(v)
{0.0082,0.0102}
Question
15
15.
[
(
-4
5
)
]
5/4
(-2)
=
(i)
(-2)
-1
(ii)
(-1)
-1
(iii)
(-4)
-1
(iv)
(-2)
-2
(v)
1
Question
16
16.
The decimal number 1.849 lies between
(i)
{1,2}
(ii)
{3,4}
(iii)
{0,1}
(iv)
{2,3}
(v)
{-1,0}
Question
17
17.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
(
−
8
√
6
+
8
√
3
+
9
√
2
)
=
(i)
8.988
(ii)
5.988
(iii)
4.988
(iv)
7.988
(v)
6.988
Question
18
18.
3
√
14
2
=
(i)
(
3
2
)
14
(ii)
14
2
(iii)
(
2
3
)
16
(iv)
(
2
3
)
12
(v)
(
2
3
)
14
Question
19
19.
Which of the following is a compound surd?
(i)
(
3
+
7
√
6
)
(ii)
(
−
5
)
(iii)
√
28
(iv)
(
19
−
√
6
+
4
√
2
)
(v)
(
−
3
√
7
)
Question
20
20.
Simplify the expression
7
(
9
7
)
✕
7
(
8
7
)
✕
7
(
9
7
)
(i)
6
(
648
343
)
(ii)
7
(
650
343
)
(iii)
8
(
648
343
)
(iv)
7
(
648
343
)
(v)
7
(
646
343
)
Question
21
21.
What fraction of the figure is shaded?
(i)
5
4
(ii)
3
2
(iii)
3
4
(iv)
1
4
(v)
1
2
Question
22
22.
The solution of
√
15
lies between
(i)
1 and 2
(ii)
5 and 6
(iii)
3 and 4
(iv)
2 and 3
(v)
4 and 5
Question
23
23.
Simplify
(-2)
2
✕
(-4)
2
✕
(-3)
2
✕
(-3)
2
2
2
✕
2
2
✕
2
2
✕
(-2)
-2
(i)
18
(ii)
18
2
(iii)
16
2
(iv)
20
2
(v)
18
3
Question
24
24.
What fraction of the figure is shaded?
(i)
5
7
(ii)
5
8
(iii)
6
7
(iv)
4
7
(v)
5
6
Question
25
25.
10.676 =
(i)
2669
25000
(ii)
2669
2500
(iii)
2669
25
(iv)
2669
250
(v)
5338
5
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (i)
5) (i)
6) (v)
7) (iv)
8) (i)
9) (iii)
10) (ii)
11) (i)
12) (iii)
13) (iv)
14) (v)
15) (i)
16) (i)
17) (v)
18) (v)
19) (iv)
20) (iv)
21) (iii)
22) (iii)
23) (ii)
24) (i)
25) (iv)
