# Number system class 9 important questions

Here we are trying to give the number system class 9 important extra questions along with answer. It tests the basic concepts and at the same makes the student comfortable with the questions

Question 1
Represent each number on number line 8/3 , 1.3 , -24 , 23/6

Question 2
Find a rational number lying between (i) 0.75 and 1.2 (ii) -3/4 and-2/5

Question 3
Insert six rational numbers. between 3 and 4

Question 4
Insert 16 rational numbers. between 2.1 and 2.2

Question 5
Express 0.9999999..... as a fraction in simplest form

Question 6
Locate the number √5 , √10 , √17  on Number line

Question 7
Find which of the variables x, y, z and u represent rational numbers and which irrational numbers:
(i)x2 =11
(ii)y2 =36
(iii)z2 = .04
(iv) u2 = 19/9

Question 8
Find an irrational number between 1/7 and 2/7

Question 9
Which is of these is the rational number between √2  and √3
(i) (√2  + √3)/2
(ii) 1.5
(iii) 1.8
(iv) (√2 . √3)/2

Question 10
Express $0.\overline{36}$ and $0.5\overline{6}$ in the simplest form of rational no

Question 11
Cross-word Puzzle

Across
3. rational numbers have only two choices- either they are terminating or non-terminating ________
6. The First person to discover the numbers which were not rational
7. The number (√3 -1)(√3 +1) is
8. Counting Number are called
Down
1. Non-terminating non recurring decimal expression
2. The set of positive and negative number is
4. Number of the form p/q
5. Who was the first to compute digits in the decimal expansion of π(Greek genius )

## Number system class 9 extra questions

Question 12
Find the value of p and q if
$\frac {\sqrt 2 -1}{\sqrt 2 + 1} =p -q \sqrt 2$

Question 13
if $x= \frac {2 + \sqrt 3}{ \sqrt 2 +1}$ and $y=\frac {2 - \sqrt 3}{ \sqrt 2 -1}$
Find the value of x +y and x-y

Question 14
March the column

Question 15
if $a = \sqrt [3] {\sqrt 2 -1}$, then find the value of
(i) $a^3 + \frac {1}{a^3}$
(ii) $a^3 - \frac {1}{a^3}$

## Summary

This Number System Class 9 Important questions with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.