Problems of the Week - March 1 to March 6

Rewards for Problems of the week:

5 points for the correct answer at your level; 10 points for the next level; 20 points each for 2+ levels up.

Lower Elementary:

Question:  Sam needs enough soda for his 27 party guests. If soda comes in packs of 6, how many packs will Sam need to buy in order for each guest to have 1 soda?

Upper Elementary:

Question:  Siri spent a quarter of her babysitting money on a new pair of sunglasses. If she makes $9.50 per hour and babysat for 8 hours, how much money did she have left after buying the sunglasses?

 Middle School:

Question:  Ella’s summer drama camp has a 5 to 7 ratio of boys to girls. If there are a total of 84 students in her camp, how many girls are there?

 Algebra and Up:

Question:  The speed of Armaan’s new boat in still water is 30 mph. It takes him 6 hours to go to his friend’s house upstream from his boat dock and only 4 hours to come back to his dock going downstream. How fast is the current?

Challenge problem to take home. 20 points for the correct answer. 

The shapes below are made by extending the sides of a regular pentagon and a regular hexagon, respectively.

Which shape has a bigger fraction of its area shaded?