Problems of the Week - July 12 to July 18

Rewards for Problems of the week:

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

 Lower Elementary:

Question: Elizabeth makes 20 cupcakes. What are 3 different ways she can group the cup­cakes evenly? You can use counters or draw a picture to solve this problem.

Upper Elementary: 

Question: Double–chocolate brownies cost $2.25 and strawberry tarts cost $4.85. Find the cost of 6 double–chocolate brownies and 6 strawberry tarts.

Middle School:

Question: If you bake 2 layers of cake in circular cake tins that are 10 inches across and 2 inches deep, what volume of cake will you have? (Hint: the volume of a cylinder is π × r² × h; r is the radius and h is the height.)

Algebra and Up:

Question: A smoothie with 1 scoop of power boost powder costs $4.85. A smoothie with 3 scoops of power boost powder costs $5.55. Write an equation to find y, the cost of a smoothie, in terms of x, the number of scoops of power boost powder.

Challenge problem to take home. 10 stars for the correct answer. 

Sisters Molly and Nia are arguing whose turn it is to do the dishes. Molly suggests shuffling a deck of $$20 cards numbered from 1 to 20. If the number on the top card is larger than the number on the bottom card, Molly will do the dishes — otherwise, it's Nia's turn. If they follow Molly's suggestion, which sister is more likely to do the dishes?