Lower Elementary
Question: A deli serves sandwiches and side dishes for lunch. They have three types of sandwiches: ham, turkey, and veggie, and two types of side dishes: soup and salad. How many different sandwich and side combinations can be made from the choices?
Answer: 6 combinations
Upper Elementary
Question: Megan has 10 songs that are each 3 minutes long and 10 songs that are each 5 minutes long on her mp3 player. If she wants to listen to exactly 1 hour of music, what is the maximum number of songs she can listen to without repeating a song?
Answer: 16 songs
(Note – In order to maximize the number of songs, she listens to as many of the shorter songs as possible. 10 songs x 3 minutes = 30 minutes. For 30 additional minutes she can listen to 6 five-minute songs for a total of 16 songs.)
Middle School
Question: Michael flips two quarters at the same time. He continues to flip the quarters until at least one of the quarters comes up heads. What is the probability that both quarters come up heads on this last flip?
Answer: 1/3
(Note: All previous flips do not matter. The possible choices for the last flip are HH, HT, TH, and TT. There are 3 possibilities that have at least one heads and only 1 that has two heads.)
Algebra and Up
Question: Let the operation @ be defined by the following a @ b = a3 + ab + b3. What is the the value of (3 @ 5) – (2 @ 4) @ 7?
Answer: -512,736
