Problems of the Week - September 27 to October 3

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:  Emily was bringing balloons to a party, but a gust of wind blew 11 of them away. If she has 18 balloons left, how many balloons did she start with?

Upper Elementary: 

Question:  For lunch, Misha had a 590 calorie double cheeseburger, 595 calories of french fries, and a 440 calorie soda. If Misha can burn 650 calories per hour swimming at a vigorous pace, how long will it take Misha to burn off all her lunch calories?

Middle School: 

Question:  Tej is building a brick wall. The entire wall will have 486 bricks. On the first day he lays 243 bricks but was more and more tired as the days went on. Each day after the first he only lays of the number

Algebra and Up:

Question:  What is the area of Quadrilateral QRST, given QR = 12, RS = 4, ST = 3, and QT = 13?

Challenge problem to take home. 5 stars for the correct answer. 

Hamza and Matthew are playing a game of Nim with a single pile of $$28 stones with these rules:

• They take turns removing 1, 2, or 3 stones from the pile.
• Whoever removes the last stone wins.

Assuming Hamza goes first and both players play perfectly, how many stones should Hamza remove on his first turn if he hopes to win?