HIGHLINE SCHOOL DISTRICT School: __________________

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FIRST YEAR MATH OLYMPIAD March 21, 1998

Grade: _________

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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