WASHINGTON STATE MATHEMATICS COUNCIL - 1997 MIDDLE SCHOOL MATH OLYMPIAD

EIGHTH GRADE GEOMETRICAL SENSE - SCHOOL ___________________________ TEAM_______

1. A rectangular tile measures 2 inches by 3 inches. What is the least number of tiles that are needed to completely cover a region 2 feet on each side?

Answer: ________________

2. Here are the first three building in a series built with cubes. How many cubes will be in the twentieth building?

Answer: ________________

3. The figure consists of six congruent squares and has a perimeter of 112 cm. Find the area of the figure.

Answer: ________________

4. Two 7 X 7 squares overlap to form a 7 X 9 rectangle as shown. Find the area of the region in which the two squares overlap.

Answer: ________________

4. Points A and B are the centers of the circles shown. If AB = 12, find the total area of the shaded regions.

Answer: ________________