HIGHLINE SCHOOL DISTRICT   School:  __________________   Grade:  _________

 2

SECOND YEAR MATH OLYMPIAD  March 21, 1998

Team Number:  _________

Measurement

1.         Find the volume of the figure shown:

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2.         The rectangle shown is divided into four smaller rectangles.  The upper right corner is a square.  Find the area of the shaded rectangle, if the other three rectangles have the areas shown in the diagram.

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3.         The front wheel of a wagon has a circumference of 3 feet, and the rear wheel has a circumference of 4 feet.  How many more complete turns will the front wheel make than the real wheel in traveling a distance of 1 mile on a straight road.  (1 mile = 5280 feet)

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4.         What is the angle between the hour and the minute hand of a clock that reads 12:20?

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5.         ABCD and AFED are squares with a common side AD of length 10 cm.  The arcs BD and DF are quarter circles.  How many square cm. is the area of the shaded region?

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