EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
2
-8
=
(i)
2
-8
4
-8
(ii)
2
-7
1
(iii)
2
-9
1
(iv)
2
-8
(-2)
-8
(v)
2
-8
1
Question
2
2.
(
-7
✕
-9
✕
-6
)
3/2
=
(i)
(
3
2
)
(-7)
✕
(
3
4
)
(-9)
✕
(
3
4
)
(-6)
(ii)
(
3
2
)
(-7)
✕
(
3
2
)
(-12)
✕
(
3
2
)
(-8)
(iii)
(
3
2
)
(-7)
✕
(
3
2
)
(-9)
✕
(
3
2
)
(-6)
(iv)
(
3
2
)
(-7)
✕
(-9)
3
✕
(-6)
3
(v)
(
3
2
)
(-7)
✕
(
3
2
)
(-6)
✕
(
3
2
)
(-4)
Question
3
3.
2
√
4
5
√
8
=
(i)
√
4
25
(ii)
√
2
25
(iii)
√
25
2
(iv)
4
√
2
25
(v)
2
25
Question
4
4.
Simplify the expression
(
-3/2
)
(
-7
5
)
✕
(
-3/2
)
(
-6
7
)
(i)
(
-3/4
)
(
6
5
)
(ii)
(
-3/2
)
(
8
5
)
(iii)
-3
(
6
5
)
(iv)
(
-3/2
)
(
4
5
)
(v)
(
-3/2
)
(
6
5
)
Question
5
5.
Simplify the expression
2
-5
✕
2
-5
✕
2
-5
(i)
5
-15
(ii)
2
-15
(iii)
2
-14
(iv)
2
-17
(v)
2
-16
Question
6
6.
Which of the following symbols represent the set of Whole numbers ?
(i)
Q'
(ii)
Z
(iii)
Q
(iv)
W
(v)
R
Question
7
7.
Expand the following base power
(-4)
-2
(i)
1
49
(ii)
(
-1
64
)
(iii)
1
16
(iv)
(
-1
4
)
(v)
1
4
Question
8
8.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
15
√
240
=
(i)
234.379
(ii)
230.379
(iii)
232.379
(iv)
233.379
(v)
231.379
Question
9
9.
23
√
7
=
(i)
(
1
23
)
5
(ii)
(
1
21
)
7
(iii)
(
1
23
)
10
(iv)
7
23
(v)
(
1
23
)
7
Question
10
10.
Simplify the expression
(
9/5
)
(
7
3
)
✕
(
8/7
)
(
7
3
)
(i)
(
103/35
)
(
7
3
)
(ii)
(
103/35
)
(
5
3
)
(iii)
(
107/37
)
(
7
3
)
(iv)
3
(
7
3
)
(v)
(
103
35
)
3
Question
11
11.
8
√
6
8
√
5
=
(i)
6
√
6
5
(ii)
8
√
8
5
(iii)
8
√
4
5
(iv)
8
√
6
5
(v)
10
√
6
5
Question
12
12.
3
(
4
3
)
=
(i)
4
3
1
(ii)
4
3
5
3
(iii)
4
4
3
3
(iv)
4
3
3
3
(v)
4
2
3
3
Question
13
13.
Expand the following base power
-4
(
1
5
)
(i)
625
81
(ii)
625
(iii)
125
(iv)
3125
Question
14
14.
The decimal number 7.0089 lies between
(i)
{7.0090,7.0091}
(ii)
{7.0079,7.0099}
(iii)
{7.0069,7.0079}
(iv)
{7.0087,7.0088}
(v)
{7.0099,7.0109}
Question
15
15.
The value of
-3
(
-1
2
)
✕
-3
(
-3
2
)
(i)
64
27
(ii)
62
27
(iii)
22
9
(iv)
2
(
64
27
)
(v)
64
25
Question
16
16.
(
2
3
√
4
+
6
3
√
8
−
7
3
√
2
)
+
(
−
3
3
√
7
−
9
3
√
5
+
5
3
√
8
)
=
(i)
(
2
+
22
−
7
3
√
2
−
3
3
√
7
−
9
3
√
5
)
(ii)
(
2
3
√
4
+
22
−
7
5
√
2
−
3
3
√
7
−
9
3
√
5
)
(iii)
(
2
3
√
4
+
23
−
7
3
√
2
−
3
3
√
7
−
9
3
√
5
)
(iv)
(
2
3
√
4
+
22
−
7
3
√
2
−
3
3
√
10
−
9
3
√
5
)
(v)
(
2
3
√
4
+
22
−
7
3
√
2
−
3
3
√
7
−
9
3
√
5
)
Question
17
17.
(
5
4
)
(-9)
(-9)
-3
=
(i)
(
17
4
)
(-6)
(ii)
(
17
4
)
(-9)
(iii)
(
25
6
)
(-9)
(iv)
(
17
4
)
(-12)
(v)
(
9
2
)
(-9)
Question
18
18.
Simplify the expression
(
5
4
)
4
✕
(
7
6
)
4
✕
(
7
5
)
4
(i)
(
223
58
)
4
(ii)
(
229
60
)
4
(iii)
(
235
62
)
4
(iv)
(
229
60
)
7
(v)
1
Question
19
19.
Which of the following symbols represent the set of Integers ?
(i)
Z
(ii)
Q'
(iii)
N
(iv)
R
(v)
W
Question
20
20.
4
√
10
13
=
(i)
(
13
4
)
13
(ii)
(
4
13
)
10
(iii)
(
13
4
)
7
(iv)
(
13
2
)
10
(v)
(
13
4
)
10
Question
21
21.
Which of the following symbols represent the set of Rational numbers ?
(i)
N
(ii)
R
(iii)
W
(iv)
Q
(v)
Z
Question
22
22.
Reduce the fraction
108
216
(i)
3
2
(ii)
(
-1
2
)
(iii)
1
(iv)
1
4
(v)
1
2
Question
23
23.
9
√
2
+
8
√
2
=
(i)
34
(ii)
17
√
2
(iii)
17
√
4
(iv)
17
√
-1
(v)
17
4
√
2
Question
24
24.
Find the sum of the decimal numbers at the points labelled with letters F and G
(i)
15.8
(ii)
16.1
(iii)
15.9
(iv)
15.5
(v)
15.4
Question
25
25.
[
(
-3/4
)
]
-4
(
-4
7
)
=
(i)
2
(
-4
7
)
(ii)
3
(
-6
7
)
(iii)
3
(
-4
7
)
(iv)
3
(
-2
7
)
(v)
4
(
-4
7
)
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (v)
5) (ii)
6) (iv)
7) (iii)
8) (iii)
9) (v)
10) (i)
11) (iv)
12) (iv)
13) (ii)
14) (ii)
15) (i)
16) (v)
17) (ii)
18) (ii)
19) (i)
20) (v)
21) (iv)
22) (v)
23) (ii)
24) (iv)
25) (iii)
