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Fractions
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1.   At the geologists convention 1/3 of the people are students, 1/4 are professors and 1/12 are industry representatives. The rest are employees of the convention center. If there are 348 people at the convention, how many are employees of the center?

2.   Deep in the earth's mantle near the core, the temperature is around 5000C. If the temperature on the surface near your house is 18C today, the surface temperature is what fraction of the deep mantle's temperature?

3.   A new island has formed off the coast of Bay City, which is not unexpected since it is near a subduction zone. The island is currently about 2 km2. How many years would it take for the island to increase its area by one-half through volcanic activity if it expands at a rate of three-eighths of a square kilometer each year?

4.   In a creek bed, 1/6 of the gravel is less than 5 mm in diameter and 1/3 of it is between 5 and 10 mm in diameter. What fraction of the gravel is greater than one centimeter in diameter?

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6.   Mr. Bloop is giving a demonstration using a water trough. This is a device used to observe (among other things) the action of water on sediments. He began with a flow rate of one and a third gallons per minute (gpm) and every thirty seconds he halved the rate. Throughout the demonstration the students watched small marked stones move down the trough. What was the flow rate (in gpm) after he halved the rate four times? Express your answer as a fraction.


 


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