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 - 1
1. Which of the following statements is/are correct?
a) Every integer is a rational number
b) Every rational number is an integer
c) A real number is either a rational or irrational
d) Every whole number is a natural number
2. The number (3 -
)(3 +
) is
a) A natural number b) an irrational number c) a rational number d) both a and c
3. A rational number between
and
is:
a)
b)
c) 2.5 d) 1.5
4. Which of the following is irrational?
a) 0.56 b) 0.561 c) 0.5614 d) 0.561566156661…
5. After rationalizing the denominator of
, we get the denominator as:
a) 420 b) 0 c) 145 d) 70
6. Value of
is: a)
b)
c)
d)
7. Rationalising factor for the denominator of the expression
is:
a)
– 2 b) 5 -
c)
+ 2 d)
+
8. Represent
on the number line.
9. Locate
on the number line.
10. Simplify each of the following:
a)
- 5
+ 11
b)
– 4
+ 20
c) (
-
)
2
11. Write the following in decimal form and find what kind of decimal expansion they have:
a)
b)
c)
12. Find the values of a and b in the following:
a)
= a - b
b)
-
= a + b
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, b
2. c
3. a
4. d
5. d
6. d
7. c
10. a) 4√7 b) 29 c) 8-2√15
11. a) 0.1818181818…(Recurring) b) 0.82 (Terminating) c) 6.125 (Terminating)
12. a) a = 11, b = 6 b) a = 0, b = -2/3
