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 - 2
1. Find a and b:
= a + b
2. If x = 3 + 2
, then find whether x +
is rational or irrational.
3. If a = 5 - 2
, then find the value of the following in simplified form:
a) a –
b)
+
4. Simplify the following: a)
b)
5. Show that:
×
= 1
6. Find the value of:
7. If
=
. Prove that m – n = 1.
8. Simplify:
÷
9. Represent
on the number line.
10. Find the value of a: 32
a
= 1024
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. a = 2, b = 5/6
2. Rational (on simplification result is 6)
3. a) - 4
b) 98
4. a) (3
+ 2
-
) / 12 b) (-4/3)
+ (120/7)
– (32/7)
– 8
6. 214
8. x
1/6
y
3/4
10. 2
