EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Express
7
2
as a decimal correct to 1 decimal places
(i)
3.6
(ii)
3.7
(iii)
3.4
(iv)
3.3
(v)
3.5
Question
2
2.
The decimal number -33.8 lies between
(i)
{-36,-35}
(ii)
{-35,-34}
(iii)
{-33,-32}
(iv)
{-32,-31}
(v)
{-34,-33}
Question
3
3.
(
−
√
8
−
9
√
7
)
−
(
−
5
√
9
−
3
√
3
)
=
(i)
(
−
√
8
−
9
√
7
+
5
4
√
9
+
3
√
3
)
(ii)
(
−
√
8
−
9
√
7
+
5
√
9
+
3
√
6
)
(iii)
(
−
√
6
−
9
√
7
+
5
√
9
+
3
√
3
)
(iv)
(
−
√
8
−
9
√
7
+
5
√
9
+
3
√
3
)
(v)
(
−
√
8
−
9
4
√
7
+
5
√
9
+
3
√
3
)
Question
4
4.
Simplify the expression
(-7)
5
✕
(-5)
5
(i)
33
5
(ii)
37
5
(iii)
35
6
(iv)
35
5
(v)
35
4
Question
5
5.
Which of the following is true?
(i)
√
2
>
√
9
(ii)
√
9
<
√
3
(iii)
√
8
<
√
9
(iv)
√
3
>
√
10
(v)
√
5
>
√
6
Question
6
6.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
(
3
√
4
+
5
√
8
)
=
(i)
19.142
(ii)
18.142
(iii)
20.142
(iv)
22.142
(v)
21.142
Question
7
7.
(
1
6
)
7
=
(i)
1
√
6
7
(ii)
6
√
4
(iii)
6
√
9
(iv)
4
√
7
(v)
6
√
7
Question
8
8.
Which of the following is a decimal fraction?
(i)
3
1000
(ii)
3
12
(iii)
14
13
(iv)
11
1
2
(v)
24
1
2
Question
9
9.
The conjugate of
(
12
−
19
√
2
)
=
(i)
(
9
+
19
√
2
)
(ii)
(
12
+
19
√
2
)
(iii)
(
15
+
19
√
2
)
(iv)
(
12
+
19
4
√
2
)
(v)
(
12
+
38
)
Question
10
10.
Simplify the expression
(
7
3
)
2
✕
(
7
3
)
7
(i)
(
7
5
)
14
(ii)
(
7
3
)
14
(iii)
14
7
(iv)
(
7
3
)
16
(v)
(
7
3
)
12
Question
11
11.
Express
7
6
as a decimal correct to 4 decimal places
(i)
1.0667
(ii)
0.9667
(iii)
1.3667
(iv)
1.2667
(v)
1.1667
Question
12
12.
What fraction of the figure is shaded?
(i)
29
49
(ii)
14
25
(iii)
29
51
(iv)
29
50
(v)
3
5
Question
13
13.
If the length of AB = 3.5 cm and CB = 1 cm, find the value of x
(i)
√
1.5
cm
(ii)
√
2.5
cm
(iii)
√
2.2
cm
(iv)
√
3.5
cm
(v)
√
3.0
cm
Question
14
14.
(
√
8
+
3
√
6
)
+
(
√
8
−
7
√
5
)
=
(i)
(
4
√
2
+
3
√
6
−
35
)
(ii)
(
4
√
2
+
3
√
3
−
7
√
5
)
(iii)
(
4
√
2
+
3
√
6
−
7
√
5
)
(iv)
(
4
√
2
+
3
√
6
−
7
4
√
5
)
(v)
(
4
√
2
+
3
√
8
−
7
√
5
)
Question
15
15.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
3192
512
(ii)
1521
50
(iii)
161
9
(iv)
3042
200
(v)
1621
100
Question
16
16.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
(
−
9
√
9
)
=
(i)
-27
(ii)
-20
(iii)
-16
(iv)
-19
Question
17
17.
Simplify the expression
-7
(
-6
5
)
✕
-3
(
-6
5
)
✕
-2
(
-6
5
)
(i)
-12
(
-6
5
)
(ii)
-12
(
-8
5
)
(iii)
-11
(
-6
5
)
(iv)
-13
(
-6
5
)
(v)
-12
(
-4
5
)
Question
18
18.
Which of the following decimal numbers lie between
7887
and
7888
?
(i)
78872
(ii)
7888.9
(iii)
7887.2
(iv)
788.7
(v)
7886.5
Question
19
19.
What fraction of the figure is shaded?
(i)
7
36
(ii)
1
12
(iii)
5
38
(iv)
5
34
(v)
5
36
Question
20
20.
Express
2
19
as a decimal correct to 2 decimal places
(i)
0.21
(ii)
1.05
(iii)
-0.09
(iv)
0.11
(v)
0.01
Question
21
21.
Express
9
2
as a decimal correct to 3 decimal places
(i)
4.7
(ii)
4.3
(iii)
4.6
(iv)
4.4
(v)
4.5
Question
22
22.
The decimal number -1.846 lies between
(i)
{-1,0}
(ii)
{0,1}
(iii)
{-4,-3}
(iv)
{-3,-2}
(v)
{-2,-1}
Question
23
23.
Find the value of
2
-2
(i)
1
4
(ii)
1
6
(iii)
(
-1
4
)
(iv)
3
4
(v)
1
2
Question
24
24.
The decimal number 1.351 lies between
(i)
{2,3}
(ii)
{3,4}
(iii)
{-1,0}
(iv)
{1,2}
(v)
{0,1}
Question
25
25.
Which of the following is true?
(i)
8
3
<
40
23
(ii)
28
9
>
36
5
(iii)
13
6
>
37
7
(iv)
23
13
<
35
34
(v)
27
17
<
35
18
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (iv)
5) (iii)
6) (iii)
7) (v)
8) (i)
9) (ii)
10) (ii)
11) (v)
12) (iv)
13) (ii)
14) (iii)
15) (iii)
16) (i)
17) (i)
18) (iii)
19) (v)
20) (iv)
21) (v)
22) (v)
23) (i)
24) (iv)
25) (v)
