Page 1 - CBQ-Number System

SAI International School

Class : IX

Mathematics

Competency Based Questions

Ch-1 NUMBER SYSTEMS

1 If “n” is a rational number and a perfect square then “n” is :
(a) always an irrational number
(b) always a rational number
(c) sometimes a rational number and sometimes an
irrational number
(d) none of the above
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

3 If 10 = 64, what is the value of 10 2 ?

+1
(a) 42 (b) 18 (c) 81 (d) 80
2
4 (n – 1) is divisible by 4, if n is :
(a) any natural number (b) any integer (c) any odd number (d) any even integer
5 √ 3 2
The value of 4 √2 is:
1 1
6
−6
−
(a) 2 (b) 2 6 (c) 2 6 (d) 2
6 If = 7 + 4√3 and = 1, then find the value of 1 + 1 .
2 2
3
5
4
7 Simplify: √81 − 8√216 + 15√32 + √225
3
−1
1
8 Prove that : 9 2 − 3 × 5° − ( ) 2 = 15
81
3
3
3
9 If = , = and = then find the value of .
10 5+√3
Determine if and if = 94 + 3√3 .
7−4√3

11 If = 4 find the value of + .
3−√5 4
1
12 If =5+2√6 and = then find the value of + .
2
2

13 Locate 2√3 on the number line.
6
4
3
14 Arrange in Descending order: √4 ,√7,√5
15 Mr. Rahul lives in an undeveloped area where there is no facility of proper education.
But one thing is available in that area i.e., network. Since he was very keen to take
education, so he decided to complete his education through e-learning.One day he was
studying number system, where he learnt about rational numbers, irrational numbers
and decimal numbers, etc.
1