EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the product of the rational numbers at the points labelled with letters H and I
(i)
669
20
(ii)
671
20
(iii)
605
18
(iv)
67
2
(v)
673
20
Question
2
2.
Which of the following symbols represent the set of Irrational numbers ?
(i)
Q'
(ii)
R
(iii)
N
(iv)
Z
(v)
W
Question
3
3.
Simplify the expression
(
-5
3
)
(-9)
✕
(
-5
3
)
(-4)
(i)
(
-5
3
)
39
(ii)
36
-5
(iii)
(
-5
3
)
33
(iv)
36
-1
(v)
(
-5
3
)
36
Question
4
4.
(
(
-4
3
)
✕
8
3
✕
(
-5
3
)
)
-8/7
=
(i)
(
-8/7
)
(
-4
3
)
✕
(
-8/5
)
(
8
3
)
✕
(
-8/5
)
(
-5
3
)
(ii)
(
-8/7
)
(
-4
3
)
✕
(
-8/9
)
(
8
3
)
✕
(
-8/9
)
(
-5
3
)
(iii)
(
-8/7
)
(
-4
3
)
✕
(
-8/7
)
(
10
3
)
✕
(
-8
7
)
(-1)
(iv)
(
-8/7
)
(
-4
3
)
✕
(
-8
7
)
2
✕
(
-8/7
)
(
-7
3
)
(v)
(
-8/7
)
(
-4
3
)
✕
(
-8/7
)
(
8
3
)
✕
(
-8/7
)
(
-5
3
)
Question
5
5.
2
√
4
√
8
=
(i)
4
√
8
(ii)
8
√
11
(iii)
4
√
8
3
(iv)
8
√
6
(v)
8
√
8
Question
6
6.
Simplify the expression
-2
(
-7
4
)
✕
-2
(
-4
9
)
(i)
-2
(
5
9
)
(ii)
-2
(
7
9
)
(iii)
-3
(
7
9
)
(iv)
-1
(
7
9
)
(v)
1
Question
7
7.
Expand the following base power
5
(
1
4
)
(i)
1
1024
(ii)
243
1024
(iii)
1
256
(iv)
(
-1
1024
)
(v)
1
4096
Question
8
8.
Expand the following base power
-3
(
5
3
)
(i)
27
125
(ii)
27
343
(iii)
1
(iv)
81
625
(v)
9
25
Question
9
9.
Which of the following symbols represent the set of Whole numbers ?
(i)
N
(ii)
Z
(iii)
Q
(iv)
W
(v)
Q'
Question
10
10.
Find the difference between the decimal values at point A and B
(i)
-1.4000
(ii)
-1.1000
(iii)
-1.0000
(iv)
-1.2000
(v)
-1.3000
Question
11
11.
Simplify the expression
-2
(
-2
9
)
✕
-7
(
-2
9
)
(i)
-8
(
-2
9
)
(ii)
-6
(
-2
9
)
(iii)
-9
(
-2
9
)
(iv)
-10
(
-2
9
)
(v)
-9
(
-4
9
)
Question
12
12.
Simplify the expression
(-3)
-9
✕
(-3)
-9
✕
(-3)
-7
(i)
(-3)
-23
(ii)
(-3)
-25
(iii)
(-3)
-24
(iv)
(-6)
-25
(v)
(-3)
-26
Question
13
13.
Simplify the expression
(
7/4
)
(
9
8
)
✕
(
7/4
)
(
9
2
)
(i)
(
7/6
)
(
81
16
)
(ii)
(
7/2
)
(
81
16
)
(iii)
(
7/4
)
(
83
16
)
(iv)
(
7/4
)
(
79
16
)
(v)
(
7/4
)
(
81
16
)
Question
14
14.
(
-4
✕
-3
✕
-9
)
5/4
=
(i)
(
5
4
)
(-4)
✕
(
5
2
)
(-3)
✕
(
5
2
)
(-9)
(ii)
(
5
4
)
(-4)
✕
(
5
4
)
(-3)
✕
(
5
4
)
(-9)
(iii)
(
5
4
)
(-4)
✕
(
5
6
)
(-3)
✕
(
5
6
)
(-9)
(iv)
(
5
4
)
(-4)
✕
(
5
4
)
(-1)
✕
(
5
4
)
(-7)
(v)
(
5
4
)
(-4)
✕
(
5
4
)
(-5)
✕
(
5
4
)
(-12)
Question
15
15.
[
(
5
4
)
]
3/2
(-5)
=
(i)
(
13
6
)
(-5)
(ii)
(
17
10
)
(-5)
(iii)
(
15
8
)
(-2)
(iv)
(
15
8
)
(-5)
(v)
(
15
8
)
(-7)
Question
16
16.
Reduce the fraction
3840
4608
(i)
5
4
(ii)
1
2
(iii)
5
8
(iv)
7
6
(v)
5
6
Question
17
17.
Express
9907
10000
as a decimal correct to 4 decimal places
(i)
0.0991
(ii)
1.0907
(iii)
9.907
(iv)
0.7907
(v)
0.9907
Question
18
18.
Which of the following is true?
(i)
-89.95 < -93.79
(ii)
-65.67 < -33.51
(iii)
-95.02 > -45.31
(iv)
-68.13 > -46.06
(v)
-5.39 < -59.48
Question
19
19.
Simplify the expression
(-7)
4
✕
(-5)
4
(i)
35
5
(ii)
35
3
(iii)
38
4
(iv)
35
4
(v)
33
4
Question
20
20.
2
(
6
5
)
-7
(
6
5
)
=
(i)
8
(
6
5
)
(ii)
9
(
8
5
)
(iii)
9
(
4
5
)
(iv)
10
(
6
5
)
(v)
9
(
6
5
)
Question
21
21.
Simplify the expression
7
5
✕
7
3
✕
7
7
(i)
7
15
(ii)
7
14
(iii)
4
15
(iv)
7
16
(v)
9
15
Question
22
22.
The value of
3
-2
÷
(-4)
-2
(i)
16
9
(ii)
14
9
(iii)
2
(
16
9
)
(iv)
2
(v)
16
7
Question
23
23.
Simplify the expression
-2
(
6
5
)
✕
-2
(
6
5
)
(i)
-4
(
8
5
)
(ii)
-3
(
6
5
)
(iii)
-5
(
6
5
)
(iv)
-4
(
6
5
)
(v)
-4
(
4
5
)
Question
24
24.
Simplify the expression
(
-7
9
)
5
✕
(
-7/9
)
(
5
4
)
✕
(
-7/9
)
(
8
7
)
(i)
-1
(
50
7
)
(ii)
(
-7/11
)
(
50
7
)
(iii)
(
-7/9
)
(
50
7
)
(iv)
(
-7/9
)
(
52
7
)
(v)
(
-7/9
)
(
48
7
)
Question
25
25.
Find the position of the rational number
23
8
on the number line
(i)
R
(ii)
Q
(iii)
S
(iv)
I
(v)
L
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (i)
9) (iv)
10) (iv)
11) (iii)
12) (ii)
13) (v)
14) (ii)
15) (iv)
16) (v)
17) (v)
18) (ii)
19) (iv)
20) (v)
21) (i)
22) (i)
23) (iv)
24) (iii)
25) (i)
