WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD Session II: FIFTH GRADE GEOMETRY Make sure you include proper units in your answer.

5

1. Find the measure of the missing angle:

2.

If the two horizontal lines are parallel, what is the measure of angle x, the smallest angle?

3. How many times would a piece of paper need to be folded in half to create 256 layers?

4. A square field is used to make 4 equal-sized baseball fields. (Note that the outside of a baseball field is circular or part of a circle.)  The concession area is in the middle of the square field that is not part of the baseball fields. If each outfield fence (or the circular outside boundary of the baseball field) is 300 feet from home plate, what is the area of the concession area (shaded)? (Use 3.14 for pi). )

5. A circle of radius 8 cm is cut into 6 equal parts. A concentric (with the same center) circle is then drawn with a radius of 4 cm. What is the area of the shaded sector? (Use 3.14 for pi).