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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