Class X

1. State Euclid division lemma.
2. State Fundamental Theorem of Arithmetic.
3. Find the HCF of 105 and 245 by Euclid division algorithm.
4. Express 296 as a product of its primes
5. Find the HCF and LCM of 75 and 160 by Fundamental theorem of Arithmetic and verify LCM x HCF = product of two numbers
6. If HCF of 30 and 45 is 15. Find the LCM.
7. Prove 5 + 2√3 is irrational
8. Check whether 17/210 is terminating or non-terminating.
9. Find the zeros and verify the relation between zeros and
coefficients of (i) x² + 11x + 30 (ii) x² - 9