© 2009 -2011 tutorco.com 1 Q1. Find the G.C.D. of the following numbers: 100 and 120 Q2. Write the first 3 multiples of 12: Q3. Fill the missing multiples: _________, 90, 105, _________, 135, 150 Q4. The G.C.D of 120 and 60 is___________ GRADE 6 TOPIC: NUMBER SYSTEM 6/1/5/S © 2009 -2011 tutorco.com 2 Q5. Find the GCD of: 60, 12 and 36 Q6. Find the H.C.F of: 14, 18 and 20 Q7. Circle the multiples of ‘8’: 49 69 96 64 16 3 41 82 48 57 Q8. Find the H.C.F of 76 and 98 © 2009 -2011 tutorco.com 3 Q9. What is the GCD of 4, 2, 1 and 0? • 4 • 2 • 8 • 0 Q10. There are 450 and 630 students in grades 6th and 7th. Students in both grades are divided into multiple groups with equal number of students in each group. Find the maximum number of students each group can have. © 2009 -2011 tutorco.com 4 Q11. What will be the HCF of 36, 52 and 70? Q12. Write the missing factors of 145. 145 = 5, ________, _________, __________ Q13. Circle the multiples of 4: 2, 22, 14, 24, 67, 46 Q14. Find the GCD of 7, 28, and 91 Q15. Fill the missing multiples: ________, 80, 96, _________, 128 ,_________ © 2009 -2011 tutorco.com 5 Q16. The LCM of 28, 60 and 80 is___________. Q17. Find the HCF of 300 and 270. Q18. Write the next three even numbers after 8 and find their HCF. Q19. What will be the HCF of 150 and 275? Q20. The length, width and height of a room are 1020 cm, 820 cm and 620 cm respectively. Find the maximum length of tape that can measure these dimensions exactly. © 2009 -2011 tutorco.com 6 Q21. What is the third and fourth multiple of 25? Q22. Circle the correct answer. 54, 72 and 108 are the multiples of which number? 8 9 12 7 Q23. Find the HCF of the following set of numbers:-140, 196, 260 Q24. What is the GCF of 1100, 2100 and 3300? © 2009 -2011 tutorco.com 7 Q25. The length and width of a carpet are 185 cm and 165 cm. The longest tape that can measure the carpet exactly is__________ Q26. Circle the multiples of 2 66, 11, 18, 34, 52, 16, 24, 82, 4, 70, 21 Q27. The Rose has two pieces of paper. One piece is 45 inches wide and another is 60 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips? Q28. Find the and HCF of 147, 75 and 252 © 2009 -2011 tutorco.com 8 Q29. The 1st number is 75 and the 2nd number is 120. If their GCD is 15 and their LCM is 600, Prove: 1st number x 2nd number = G.C.D x L.C.M Q30. The GCF of two numbers is 18 and their LCM is 108. One of the numbers is 54. And the other number is 36. Prove: 1st number x 2nd number = G.C.D x L.C.M