WASHINGTON STATE MATHEMATICS COUNCIL

2000 MIDDLE SCHOOL MATH OLYMPIAD

 

Session II:

SIXTH GRADE GEOMETRY

Make sure you include proper units in your answer.

6

 

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

 

 

2.    If the radius of a circle is increased 100%, by how much is the area increased?

 

 

3.   

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). 

 


4.    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).

 

 

5.    What is the length of segment CD?