## Challenge Set #1

__Problem 1:__Mr. Smith is replacing the square tiles in his bathroom. Each side of the new tile is 3 inches longer than the old tile. Each new tile covers 39 square inches more than an old tile.

a) How big were the old square tiles?

b) If the area of the room is 5120 square inches, how many new tiles will he need?

__Problem 2:__Use four 4's, grouping symbols (if needed), and any of the four operations to make all numbers 6-9.

6: ?

7: ?

8: ?

9: ?

__Problem 3:__Sarah watched a man from a carnival ride a very tall bicycle. She wondered about riding it from Mudville to Peoria, a distance of 266 miles. The diameter of the wheels was 83 inches. The pedals were geared so that one complete turn caused the wheel to rotate 8.4 times. If Sarah turns the pedals once every 5 seconds, and can maintain that rate, about how long would it take to make the trip?