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Class-9 Maths ch-1

This document is a question bank for Class IX mathematics focusing on number systems, including multiple-choice questions, true/false statements, and problems requiring rationalization and visualization on the number line. It is divided into groups based on question types and marks, covering various aspects of rational and irrational numbers. The document serves as summer homework for students at Odisha Adarsha Vidyalaya Sangathan.

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38 views5 pages

Class-9 Maths ch-1

This document is a question bank for Class IX mathematics focusing on number systems, including multiple-choice questions, true/false statements, and problems requiring rationalization and visualization on the number line. It is divided into groups based on question types and marks, covering various aspects of rational and irrational numbers. The document serves as summer homework for students at Odisha Adarsha Vidyalaya Sangathan.

Uploaded by

s23515928
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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odisha adarsha vidyalaya

sangathan
Question bank on mathematics
SUMMER HOMEWORK

CLASS -IX
CHAPTER-1
NAME OF THE CHAPTER-
number systems
GROUP- A(MCQ TYPE)
𝟑
11.rational number𝟒𝟎 is equal to

(a)0.75 (b)0.12 (c)0.012 (d)0.075


𝟒𝟎
12. A rational number between 3 and 4 is:
a)3/2 (b)4/3 (c)7/2 (d)7/4
13. A rational number between 3/5 and 4/5 is
a)7/5 (b)7/10 (c)3/10 (d)4/10
14. A rational number between ½ and ¾ is

a)2/5 (b)5/8 (c)4/3 (d)1/4


15.which one of the following is not a rational number

a)√4 (b)3√8 (c)√𝟏𝟎𝟎 (d)-√0.16


16. which one of the following is not a rational number

a)√2 (b)0 (c)√𝟒 (d)√-16


17.decimal representation of 1/5 is
a)0.2 (b)0 .5 (c)0.02 (d)0.002
18.27/8 in the decimal form is

a)3.35 (b)3.375 (c)33.75 (d)337.5


𝟓
19. in decimal form is
𝟔

a)0.83 (b)0.833 (c)0.63 (d)0.633


𝟖
20.decimal representation of rational number is
𝟐𝟕

a)0.296 (b) 0.296 (c) 0.296 (d) 0.296


GROUP-B(1 MARKS EACH OBJECTIVE TYPE)

1. State whether the following statements are true or false.


a. Every natural number is a whole number.
b. Every integer is a whole number.
c. Every rational number is a whole number.
2. Are the square roots of all positive integers irrational? If not, give an example of the
square root of a number that is a rational number
3. Classify the following numbers as rational or irrational:
(i)√23 (ii)√225
(iv)
(iii) 0.3796 7.4784..........

4. Classify the following numbers as rational or irrational (i)2-√5 (ii)(5+√23)-√23

5.Find : (i) 641/2 (ii) 321/5 (iii) 1251/3


6. Find :
(ii)
3/2
(i) 9 322/5

(iii) 163/4
7. How many rational number can be determined between two given rational number.

GROUP-C(2 MARKS EACH)


1. Express 0.123 in the form P/q where p and q are integers and q≠0.

1
2. Write in decimal form and say what kind of decimal expansion it has.
7
3. Express0.001 in the form of P/q where p and q are integers and q≠0.
4. Represent √9.3 on the number line

5. Rationalise the denominators of 1


√5
6. Rationalise the denominators of 1
2−√7
7. What can the maximum number of digits be in the repeating block of digits in
the decimal expansion of 1
17

8. Represent √6.5 on the number line


GROUP-D(3 and 4 MARKS EACH)
1. Show how √5 can be represented on the number line.
2. Draw a square root spiral.
3. Visualise 3.765 on the number line, using successive magnification.
4. Visualise 4.26 on the number line, up to 4 decimal plac.
5. Visualise 3.52 on the number line upto 4 decimal place.
6. Represent √10 on number line

7. Visualise 4.2 and 4.3 as 4.26 lies between 4.2 and 4.3 and divide portion in
ten equal parts and locate 4.26

2 2
8.𝑖𝑓 + =a√3+b√5, find a and b.
√3+√5 √3−√5
9. simplify the following into a fraction with rational number denominator

1
.
√5+√6−√11
1
10.if x= , find the value of x3-2x2-7x+5.
2−√3

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