Sample Paper
REAL NUMBERS
1. Has the rational number
![](/cbse-ncert/class-10/10-math-real-5-UntitOE0.JPG)
a terminating or a non-terminating decimal representation?
2. Prove that
![](/cbse-ncert/class-10/10-math-real-5-UntitOE1.JPG)
is an irrational number.
3. (i) Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.
(ii)
![](/cbse-ncert/class-10/10-math-real-5-UntitOE2.JPG)
find the values of m and n where m and n are non-negative integers.
Hence write its decimal expansion without actual division.
4. Prove that
![](/cbse-ncert/class-10/10-math-real-5-UntitOE3.JPG)
is irrational.
5. Express the number
![](/cbse-ncert/class-10/10-math-real-5-UntitOE4.JPG)
in the form of rational number
![](/cbse-ncert/class-10/10-math-real-5-UntitOE5.JPG)
6. The LCM of 2 numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.
7. The decimal expansion of π is:
(a) terminating
(b) non-terminating and non-recurring
(c) non-terminating and recurring
(d) doesn’t exist
8. Which of the following rational numbers have a terminating decimal expansion?
9. If the HCF of 55 and 99 is expressible in the form 55m � 99, then the value of m is:
10. Given that LCM (91, 26) = 182, then HCF (91, 26) is:
(a) 13
(b) 26
(c) 7
(d) 9