HIGHLINE SCHOOL DISTRICT School: __________________

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SECOND YEAR MATH OLYMPIAD March 21, 1998

Grade: _________

Geometrical Sense (Spatial sense)

Team Number: _________

1. ABCD is a rectangle with area equal to 36 square yards. Points E, F, and G are midpoints of the sides on which they are located. How many square yards are there in the area of triangle EFG?

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2. A square is divided into 3 congruent rectangles as shown below. Each of the three rectangles has a perimeter of 16 meters. How many meters are in the perimeter of the square?

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3. Jeremy and Katelyn are each flying a kite. Jeremy's kite is flying 40 feet high and the wind is pushing it above a tree that is 30 feet away from him. Katelyn's kite is flying 60 feet high and the wind is pushing it above a tree that is 80 feet away from her. How much longer is Katelyn's kite string than Jeremy's?

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4. A small cylindrical glass is placed inside of a larger cylindrical glass, and the space between the two glasses is filled with water. Both glasses are 6 inches high. If the smaller glass has a 2 inch diameter, and the larger glass has a four inch diameter, what is the volume of water in between the two glasses?

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5. What is the area of an equilateral triangle with each side equal to 4 meters?

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