HIGHLINE SCHOOL DISTRICT                                               School:  __________________

 1

FIRST YEAR MATH OLYMPIAD  March 21, 1998

Measurement

Team Number:  _________

1.         What are the dimensions of 5 boxes of different sizes that could each hold exactly 30 one-inch cubes?

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2.         When Thomas enters a pizza store, he notices that a circular pizza, 14 inches in diameter, costs \$7 and a circular pizza, 16 inches in diameter, costs \$12.  Which pizza is a better deal?

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3.         Farmer Able has a rectangular field 60 by 40 meters.  Farmer Baker has a square field with the same perimeter.  How much larger is Farmer Baker's field in square meters?

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4.         Spot and Rover are running a 600 meter dog race.  Spot runs 20 meters per minute and Rover runs 15 meters per minute.  How many minutes earlier than Rover will Spot finish?

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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. are in the area of the shaded region?

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