NATIONAL VICTOR PUBLIC SCHOOL
CLASS IX (2023-24)
SUBJECT : MATHEMATICS
ASSIGNMENT NO.1 CHAPTER-1
GENERAL INSTRUCTIONS: DO THE FOLLOWING
ASSIGNMENT ON A-4 SHEETS AND KEEP THEM IN
CLEAR BAG.
NVPS/MATHS/1/2/2023-24
Q.1 Which of the following is irrational?
(a) 0.14 ̅̅̅̅ (c) 0. 1416
(b)0.1416 ̅̅̅̅̅̅̅ (d) 0.1010010001 … ….
Q.2 Every point on a number line represents:
(a) A unique real number (b) A natural number (c) A rational number (d) An
irrational number
Q.3 The simplest form of 0.123̅
41 37 41
(a ) 330
(b) 330
(c) 335 (d) none of these
4
Q.4 √81−2 = ?
1 1 1 1
(a ) (b) (c) (d)
3 5 7 9
Q.5 6−4√2
=?
6+4√2
(a ) 15 + 12√2 (b) 17 − 12√2 (c) 19 + 2√2 (d) 18 + 3√2
Q.6 √10 × √15 is equal to :
(a ) 6√5 (b) 5√6 (c) √25 (d) 10√5
DIRECTION: In the following questions, a statement of assertion (A)
is followed by a statement of Reason (R).
Choose the correct option:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct
explanation of assertion(A)
(b) Both assertion (A) and reason (R) are true and reason (R) is not
the correct explanation of assertion (A)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Q.7 Statement A (Assertion): √3 +√5 is an irrational number.
Statement R( Reason) : The sum of rational number and an irrational number is
an irrational number
Q.8 Statement A (Assertion): Quotient of √12 and √3 is a natural number.
Statement R (Reason) : Division of two irrational numbers is always a natural
number.
𝑝
Q.9 Express 0.8 + 0. 7̅ + 0.43̅ in the form 𝑞 , where p and q are integers and q≠ 0.
Q.10 1
If 𝑥 = 3 − √8 , evaluate 𝑥 + 𝑥
Q.11 Find the value of a and b in the following:
3+√7
= a +b √7
3−√7
Q.12 Simplify:
4 3 5
√81 -8√216 + 15 √32 + √225
Q.13 Represent √5.2 on a number line.
Q.14 25
Evaluate after rationalizing the denominator . It has been given that
√40−√80
√5 = 2.236 and √10 = 3.126
Q.15 Simplify :
1
−1 −1 2 4
1 3 1 3
[[5 {( ) +( ) }] ]
8 27
CASE STUDY
In a school 5 out of every 7 children participated in Save wild life campaign
organized by the school authorities.
1.) What fraction of the students participated in the campaign.
5 7 4 2
(a ) (b) (c) (d)
7 7 7 7
5
2.) What is the value of ?
7
(a ) 1.414 ̅̅̅̅̅̅̅̅̅̅̅̅
(b) 0.714285 (c) 1.4 (d) 1.7142
3.) What kind of decimal expansion it has.
(a) terminating repeating (b) non terminating repeating (c) terminating
(d) non terminating
4.) How many rational numbers are there between 5 and 7.
(a) 0 (b) 2 (c) 1 (d) infinite
5.) Every rational number is a number.
(a) even (b) real (c) prime (d) composite
ANSWERS OF CASE STUDY
5
1. a) 7
2. b) ̅̅̅̅̅̅̅̅̅̅̅̅
0.714285
3. d) terminating
4. c) infinite
5. b) real
ANSWERS
181
1. d 2. a 3. d 4. d 5. b 6. b 7. b 8. c 9. 10. 6
90
11. a = 8, b = 3 12. 0 14. -9.4975 15. 5
