Hg
Name: Class 9 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Number Systems - 3
1. If x = 2 +
, then x +
equals to:
a. -2
b. 2 c. 4 d. 4 - 2
2.
form of 
is:
a.
b.
c.

d.

3. Write 2 irrational numbers lying between


4. If
 = 3.162, find the value of

.
5. Find the value of
󰇛

󰇜

6. Simplify:
󰇛
󰇜

󰇡

󰇢

7. Give example of two irrational numbers whose sum is rational.
8. State whether the decimal expansion of 15/16 will be terminating or non-terminating but repeating.
Give reason.
9. Simplify: 3
 -
 +
 -

10. Represent
 on the number line.
11. Show that:

-

-

= 7
OR
12. Show that:




-



= 5
Hg
Name: Class 9 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Answers:
1. c
2. a
3. 1.4242242224…. and 1.5010010001…..
4. 0.4743
5. 1/8
6. 13
7. 2 +
, 2 -
8. Terminating as denominator is of the form 2
n
9. 4
+ 8
10.
11. Proof qn
12. Proof qn
13. Proof qn