Name: ______Date:______Period: _____
Spiraling Homework # 2: Least Common Multiple and Greatest Common Factor
Complete on Monday 1/13:
1) Find the Greatest Common Factor of 6 and 15: ______
2) Find the Greatest Common Factor of 24 and 60: ______
3) Find the Least Common Multiple of 4 and 10: ______
4) Find the Least Common Multiple of 8 and 3: ______
Complete on Tuesday 1/ 14:
5) Tim has a bag of 36 orange-flavoured sweets and Peter has a bag of 48 grape-flavoured sweets. They have to divide up the sweets into small trays with equal number of sweets; each tray containing either orange-flavoured or grape-flavoured sweets only. If there is no remainder, find the largest possible number of sweets in each tray.
Answer: ______sweets
6) On a track for remote-controlled racing cars, racing car A completes the track in 8 seconds, while racing car B completes it in 6 seconds. If they both start at the same time, after how many seconds will they be side by side again?
Answer: ______seconds
Complete on Wednesday 1/ 15:
7) Twenty – eight girls and 35 boys signed up for the team challenge. Each team needs to have an equal number of girls and boys. What is the greatest number of teams possible?
A. 31
B. 14
C. 7
D. 5
8) Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game.
How often do the reunion and the game fall in the same year?
A. Once every 10 years
B. 5 times every 10 years
C. 20 times every 10 years
D. None of the above
9) Mr. Magoo has 24 oranges and 36 bags of pretzels. He wants to put the same number of oranges and the same number of pretzel bags into each camper’s lunch bag. What is the greatest number of lunch bags he can assemble?
A. 2
B. 6
C. 12
D. 15
10) What are all the common factors of 32, 48, and 64?
A. 1, 2, 4, 8
B. 1, 2, 4, 8, 16
C. 1, 2, 8, 16
D. 1, 2, 4, 6, 8, 16
Complete on Thursday 1/ 16:
11) What do the numbers 1, 2, 4, 8, 16 have in common?
A. They are all prime numbers.
B. They are all even numbers.
C. They are all factors of 16.
D. They are all multiples of 16.
12) Lila has 63 cans of meat and 45 cans of vegetables. She wants to assemble bags that have the same number of each type of can in each bag with no cans left. What is the greatest number of bags of canned goods she can assemble?
Answer: ______
Explain:______(Hint: How do you know your answer is correct?)
13) One Direction’s Tour Bus stops every 35 minutes and Miley Cyrus’ Tour Bus stops every 20 minutes. If they decide to go on tour together and both buses leave at the same time, when will they both be stopped at the same time again?
Answer: ______
Explain:______(Hint: How do you know your answer is correct?)
14) Jennifer has 54 brown beads and 90 turquoise beads. She wants to put the same number of brown beads and the same numbers of turquoise beads on strings to make necklaces. What is the maximum number of necklaces she can make if she does not want to have any extra beads?
Answer: ______
Explain:______(Hint: How do you know your answer is correct?)
15) Mr. Drake bought muffins and drinks for a breakfast meeting. The muffins were sold in packages of 12, and the drinks were sold in packages of 18. What is the smallest number of packages of each item that Mr. Drake could have bought and still have the same number of muffins and drinks?
A. 2 packages of muffins, 3 packages of drinks
B. 18 packages of muffins, 12 packages of drinks
C. 3 packages of muffins, 2 packages of drinks
D. 6 packages of muffins, 9 packages of drinks
***This is DUE FRIDAY JANUARY 17!**