Mathematics X Chapter 1 Real Numbers

MM

Q1. A rational number having terminating decimal expansion has denominator of the form ________ if numerator and denominator are coprime.

Q2. An algorithm is a ____________

Q3. Differentiate between a rational and irrational number.

Q4. A lemma is a proven ___________

Q5. Is sum of two irrational numbers always irrational? Give two examples to support your answer.

Q6. Use Euclid.s division algorithm to find the H.C.F. of 135 and 4500

Q7. Show that any odd positive odd integer is of the form 6a+1, 6a+3 or 6a+5

Q8. Prove 2 3  7 is an irrational number.

Q9. Without actually performing the long division, state whether the following rational number has a terminating expansion or a non- terminating repeating decimal;
Expansion: 15/225

Q10. Find the H.C.F. and L.C.M. of 12, 72 and 360 using prime factorization and check if product of three given numberes is equal to product of H.C.F. and L.C.M.

Q11. Prove that 5 is an irrational number.

Q12. Is 1.0057 a pure recurring decimal or mixed recurring decimals. Express it in p/q form.

Q13. Two kids are moving on a circular path on their tricycles. Anubhav completes 1 round in 10 minutes and Aastha can complete it in 6 minutes. If they start at the same time find after how many minutes will they meet again at starting point.

Q 1 . 5 one mark each, Q 6 . 9 two marks each, Q 10 . 13 three marks each