HCF&LCM S3 HW 2

Levi has two pieces of rope, one 18 feet long and the other 12 feet long. For a project, he needs to cut them up to produce many pieces of rope that are all of the same length, with no rope left over. What is the greatest length, in feet, that he can make them?

• 4
• 9
• 15
• 6

An event has 8 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?

• 6
• 4
• 2
• 8

A P.E. teacher needs to divide 20 male students and 8 female students into teams, each with the same combination of male students and female students and nobody left out. What is the greatest number of teams that can be formed?

• 7
• 6
• 4
• 5

Russell has 16 packets of sugar and 12 packets of artificial sweetener. He wants to divide them into identical groups, with no packets left over, so that the groups can be distributed to some tables at the restaurant where he works. What is the greatest number of groups Russell can make?

• 6
• 5
• 3
• 4

Connor made two types of pie: strawberry and blueberry. He cut all of the strawberry pies into 4 slices each and all of the blueberry pies into 8 slices each. If Connor cut the same total number of slices of each type of pie, what is the minimum number of slices of each type he could have cut?

• 10
• 8
• 12
• 6

Bryan goes hiking every 3 days and swimming every 9 days. He did both kinds of exercise today. How many days from now will he next go both hiking and swimming again?

• 9
• 15
• 6
• 12

A choir teacher is dividing 20 sopranos and 12 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?

• 8
• 5
• 4
• 6

Brendan has two pieces of twine, one 40 feet long and the other 48 feet long. If he wants to cut them up to produce many pieces of twine that are all of the same length, with no twine left over, what is the greatest length, in feet, that he can make them?

• 10
• 8
• 12
• 15

Francesca realizes that the number on the classroom door is divisible by 10, and her classmate points out that it is also divisible by 5. What is the smallest possible number that could be on the classroom door?

• 25
• 10
• 20
• 15

Olivia has 30 pencils and 15 erasers. She needs to divide them into sets, with the same number of pencils and erasers in each set and no items left over. What is the greatest number of sets Olivia can create?

• 5

• 6

• 15

• 3