H Miriam’s uncle donated 120 cans of juice and 90 packs of cheese crackers for the school field trip. Each student is to receive the same number of cans of juice and the same number of packs of crackers. What is the greatest number of students that can go on the field trip and share the food equally with no food left over? 70 A Star 94 is gave away a discount coupon for every fifth and sixth caller. Every twelfth caller received a free concert ticket. Which caller was first to receive both the discount coupon and the concert ticket? 30 M Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 25 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time? 60 R I am planting 50 apple trees and 30 peach trees. I want the same number and type of tree per row. What is the maximum number of trees I can plant per row? 100 Z Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time? 10 P Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons? 5 B There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in intramurals? 20 N Mrs. Evans has 75 crayons and 30 pieces of construction paper to give to her students. What is the largest number of students she can have in her class so that each student gets an equal number of crayons and an equal number of construction paper? 8 K Three pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 12 minutes to run one lap and it takes Wiggly 3 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again? 15 S Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 12 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used? 12 C Kiara baked 35 oatmeal cookies and 49 chocolate chip cookies to package in plastic containers for her teacher friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need? 4 E Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height? 7 Q A florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets. What is the largest number of bouquets she can make without having any flowers left over? 36 T Ming has 15 quarters, 30 dimes and 48 nickels. He wants to group his money so that each group has the same number of each coin. What is the greatest number of groups he can make? 9 F At a display booth at the county fair, every visitor gets a gift bag. Some of the bags have items in them. Every 2nd visitor gets a water bottle, every 7th visitor gets a sticker, and every 10th visitor gets a tshirt. What number bag will be the first bag to have all three items? 3 Answer Key A M R Z P B N K S C E Q T F H