Real Numbers-Sample Papers

1.  The LCM and HCF of two numbers are 240 and 12 respectively. If one of the numbers is 60, then find the other number.            3 marks

2.  Without actually performing the long-division, state will have a terminating or non-terminating repeating decimal expansion.            3 marks

3.  Write whether the rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion.            3 marks

4.  The HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, write the other number.            3 marks

5.  What is the HCF of 52 and 130?            3 marks

6.  Express as a rational number in the simplest form.            4 marks

7.  Prove that is an irrational number.            4 marks

8.  Show that is an irrational number.            4 marks

9.  Show that one and only one of n, n + 2 and n + 4 is divisible by 3.            4 marks

10.  Using Euclid’s division algorithm, find the HCF of 56, 96 and 404.            4 marks