EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The rationalising factor of
(
−
8
√
44
)
=
(i)
√
13
(ii)
4
√
11
(iii)
11
(iv)
√
8
(v)
√
11
Question
2
2.
Which of the following decimal numbers lie between
3880.9965
and
3880.9966
?
(i)
3880.99665
(ii)
3880.99658
(iii)
3880.99643
(iv)
388.09966
(v)
38809.96583
Question
3
3.
Express
5809
10000
as a decimal correct to 4 decimal places
(i)
0.6809
(ii)
0.3809
(iii)
0.0581
(iv)
5.809
(v)
0.5809
Question
4
4.
The decimal number 0.816 lies between
(i)
{1,2}
(ii)
{2,3}
(iii)
{-1,0}
(iv)
{0,1}
(v)
{-2,-1}
Question
5
5.
(
-2
✕
-3
✕
7
)
6
=
(i)
(-2)
6
✕
(-3)
5
✕
7
5
(ii)
(-2)
6
✕
(-5)
6
✕
4
6
(iii)
(-2)
6
✕
(-3)
7
✕
7
7
(iv)
(-2)
6
✕
(-3)
8
✕
10
6
(v)
(-2)
6
✕
(-3)
6
✕
7
6
Question
6
6.
[
5
]
4
(
7
5
)
=
(i)
1
(ii)
21
(
7
5
)
(iii)
20
(
7
5
)
(iv)
19
(
7
5
)
(v)
20
(
9
5
)
Question
7
7.
Expand the following base power
3
4
(i)
3
(ii)
81
(iii)
243
(iv)
625
(v)
27
Question
8
8.
Find the difference between the decimal values at point A and B
(i)
1.2000
(ii)
0.9000
(iii)
1.0000
(iv)
0.8000
(v)
1.1000
Question
9
9.
Convert the non-terminating recurring decimal
21.76190476190476...
to rational number
(i)
457
23
(ii)
457
21
(iii)
153
7
(iv)
457
19
(v)
65
3
Question
10
10.
Simplify the expression
(
-5
6
)
(-6)
✕
(
-5
6
)
(-6)
(i)
(
-5
6
)
38
(ii)
(
-5
6
)
36
(iii)
(
-5
6
)
34
(iv)
(
-5
4
)
36
(v)
(
-5
8
)
36
Question
11
11.
Find the value of
(
5
3
)
8
(i)
31
(ii)
34
(iii)
30
(iv)
33
(v)
32
Question
12
12.
5
-6
=
(i)
6
(
1
5
)
(ii)
6
(
-1
5
)
(iii)
6
(
3
5
)
(iv)
7
(
1
5
)
(v)
5
(
1
5
)
Question
13
13.
Simplify
5
-2
(-4)
2
(i)
23
-2
(ii)
20
-3
(iii)
17
-2
(iv)
20
-1
(v)
20
-2
Question
14
14.
Find the value of
(
5
3
)
(-8)
(i)
-34
(ii)
-33
(iii)
-32
(iv)
-31
(v)
-29
Question
15
15.
Convert the fraction
367
21
to non-terminating recurring decimal
(i)
17.
476190
(ii)
0.17
476190
(iii)
1747.
619047
(iv)
174.
761904
(v)
1.7
476190
Question
16
16.
(
4/3
)
(
-3
5
)
5
(
-3
5
)
=
(i)
(
-17/5
)
(
-3
5
)
(ii)
(
-11/3
)
(
-1
5
)
(iii)
-5
(
-3
5
)
(iv)
(
-11/3
)
(
-3
5
)
(v)
(
-11
3
)
(-1)
Question
17
17.
The simplest form of the fraction
6
12
is
(i)
3
2
(ii)
1
4
(iii)
(
-1
2
)
(iv)
1
2
(v)
1
Question
18
18.
Simplify the expression
7
(
7
2
)
✕
7
(
7
2
)
✕
7
(
7
2
)
(i)
22
(
7
2
)
(ii)
21
(
9
2
)
(iii)
21
(
7
2
)
(iv)
21
(
5
2
)
(v)
20
(
7
2
)
Question
19
19.
(
3
√
8
−
9
√
3
)
✕
(
−
6
√
2
−
7
√
9
)
=
(i)
(
−
75
+
54
√
6
−
126
√
2
+
189
√
3
)
(ii)
(
−
72
+
54
4
√
6
−
126
√
2
+
189
√
3
)
(iii)
(
−
72
+
54
√
6
−
126
4
√
2
+
189
√
3
)
(iv)
(
−
72
+
54
√
6
−
126
√
2
+
189
√
6
)
(v)
(
−
72
+
54
√
6
−
126
√
2
+
189
√
3
)
Question
20
20.
The solution of
√
20
lies between
(i)
4.47 and 4.48
(ii)
4.49 and 4.50
(iii)
4.48 and 4.49
(iv)
4.45 and 4.46
(v)
4.46 and 4.47
Question
21
21.
The value of
4
-2
÷
(-4)
-2
(i)
(-1)
-1
(ii)
2
-1
(iii)
1
(iv)
4
-1
Question
22
22.
Find the difference of the rational numbers at the points labelled with letters E and F
(i)
(
-1
5
)
(ii)
(
-1
3
)
(iii)
1
5
(iv)
(
-1
7
)
(v)
(
-3
5
)
Question
23
23.
Simplify
(-3)
-2
✕
2
-2
✕
(-3)
-2
(-5)
2
✕
3
2
✕
2
2
(i)
540
-2
(ii)
538
-2
(iii)
540
-3
(iv)
540
-1
(v)
542
-2
Question
24
24.
Find the sum of the rational numbers at the points labelled with letters J and K
(i)
25
2
(ii)
23
2
(iii)
45
4
(iv)
21
2
(v)
12
Question
25
25.
2
(
6
5
)
=
(i)
-2
(
7
6
)
(ii)
-2
(
5
6
)
(iii)
-3
(
5
6
)
(iv)
-1
(
5
6
)
(v)
-2
(
1
2
)
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (iv)
5) (v)
6) (iii)
7) (ii)
8) (iii)
9) (ii)
10) (ii)
11) (v)
12) (i)
13) (v)
14) (iii)
15) (i)
16) (iv)
17) (iv)
18) (iii)
19) (v)
20) (i)
21) (iii)
22) (i)
23) (i)
24) (ii)
25) (ii)
