Chapter 1: Real Numbers

Q1 (2 marks): Find the HCF and LCM of 12, 15 and 21 by prime factorisation method.

Q2 (3 marks): Prove that √3 is irrational.

Q3 (5 marks): The HCF of 65 and 117 is expressible as 65m - 117. Find the value of m. Also find the LCM of 65 and 117.

Chapter 2: Polynomials

Q4 (2 marks): Find the zeros of the quadratic polynomial x² + 7x + 10.