Download Class X Mathematics Worksheet Chapter 1

ClassXMathematicsWorksheetChapter1
`Q.1. Given that LCM (26,91) = 182. Find their HCF. Q.2. Find HCF x LCM for the numbers 105 and 120. Q.3. The HCF and LCM of 2 numbers are 9 and 360. If one number is 45 write the other number. Q.4. Consider the number 12n where n is a natural number. Check whether there is any value of any n ε N for which 12n ends with the digit 0. Q.5. Find the HCF of the following using Euclid’s division algorithm. (i) 870 and 225 (II) 72 and 120 (III) 52 and 130 (IV) 960 and 432 Q.6. Find the HCF and LCM of 120 and 144 by fundamental theorem of arithmetic. Q.7. Prove that following are irrational numbers. (i) 2√3 ‐ 7 (II) 3 + √2 (III) 2 + √5 (iv) √11 Q.8. If HCF of 210 and 55 is expressible in the form 210 x 5 + 55y . Find the value of y. Q.9. 3 sets of English , Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic‐wise and height of each stack is same. The number of English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of same thickness, determine the number of stacks of English,Hindi and Mathematics books. Q.10. In a school there are 2 sections. Section A and section B of class 10. There are 32 students in section A. And 36 students in section B. Determine the minimum number of books required for their class library, so that they can be distributed equally among the students of section A and section B. ClassXMathematicsWorksheetChapter1
Q.11. Without actually performing long division state whether the following rational numbers will have terminating decimal expansion or a non‐terminating repeating decimal expansion. Also write decimal expansion of terminating rational numbers. (i) 51/1500 (II) 43/(24 x 53) (III) 29/343 (iv) 129/441 Q.12. Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5 where q is some integer. Q.13. Find the HCF of smallest composite number and smallest prime numbers. Q.14. Show that every positive even integer is of the form 2q and that every positive odd integer is of the form 2q+1 where q is some integer. Q.15. Prove that square of any positive integer is of the form 5q, 5q + 1, 5q+4 for some integer q.