WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD   Session II: SEVENTH GRADE GEOMETRIC SENSE   Make sure you include proper units in your answer! 7

1.   A manufacturer of novelty buttons uses square sheets of metal that are 24 inches on each side.   The press that punches the buttons punches out 144 circular buttons, each with a diameter of 2 inches, from one sheet.   To the nearest tenth of a square inch, how much metal is wasted from each sheet?

 2 If  = 5, find the value for the figure at right:

 3 Draw a right triangle that has the same area as the figure at right.   Label the lengths of the two legs.

4.   Jesse has a season's subscription to the local drama theater.   His seat is in the 5th row from the front and the 12th row from the back of the theater. His seat is 8 seats from the right aisle and 12 seats from the left aisle.   If each row has the same number of seats, how many seats are in the entire theater?

5.   If an eight-inch square cake serves four people, how many people would be able to get an equivalent serving from a twelve-inch square cake?