HIGHLINE SCHOOL DISTRICT   School:  __________________

 2

SECOND YEAR MATH OLYMPIAD  March 21, 1998

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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