Least & Most( Week 14 Evaluation) 1. There are two types of boxes. The smaller one can hold 8 apples each, while the larger one can hold 10 apples each. A pile of apples can be exactly filled all in smaller boxes or in larger boxes. At least how many apples are there? 2. There are 15 red balls and 17 green balls in a bag. At least how many balls do you need to pick from the bag (without putting balls back) in order to make sure that you have balls of different colors? 3. There are 15 balls of 5 colors with 3 balls per each color in a bag. At least how many balls need to be picked to make sure that there are three balls of the same color? 5. In the morning, it takes Helen 2 minutes to brush her teeth, 2 minutes to put on makeup, 4 minutes to boil water for tea, and 4 minutes to wait the tea to cool down. After these chores, she needs 5 minutes to finish her breakfast. What is the least amount of time (in minutes) she will need to finish all of the above if she organizes her tasks reasonably? 6. A jar contains candy bars. The candy bars can be distributed equally among 4, 5, 6, 7, 8 or 9 children with no candy bar left. What is the smallest number of candy bars that can be in the jar? 7. There are 9 piles of beads, and there are less than 7 beads in each pile. If there are 53 beads in total, what is the least possible number of beads among these piles? 8. A number is greater than 2. When the number is divided either by 6 or 8, the remainder is 2. What is the smallest possible value for the number? 10. A drawer contains 4 red socks, 7 brown socks, 7 gray socks, 6 blue socks, and 26 black socks. If you are blindfolded, what is the fewest number of socks you need to pick from the drawer in order to make sure that you either pick a pair of blue socks or a pair of black socks? |