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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. How many galleys did the Roman general have who attacked Syracuse?**
**(a)** 60. **(b)** 70. **(c)** 50. **(d)** 40.

**2. When Archimedes estimated the number of grains of sand that would fill the universe, what common Greek measure did he use?**
**(a)** Poppy seeds. **(b)** Mustard seeds. **(c)** Stadium. **(d)** Fingerbreadths.

**3. Who was the Roman general who waged war against Syracuse?**
**(a)** Bonifacius. **(b)** Aureolus. **(c)** Marcellus. **(d)** Glabrio.

**4. For which type of science were Archimedes' demonstrations of centers of gravity the foundation?**
**(a)** Quantum physics. **(b)** Theoretical mechanics. **(c)** Thermodynamics. **(d)** Statistical mechanics.

**5. Where is earth's center of gravity in the solar system?**
**(a)** Between the moon and Mercury. **(b)** 20,000 miles from the moon. **(c)** 15,000 miles from the moon. **(d)** In the center of the earth.

## Short Answer Questions

**1.** How or where might other writings of Archimedes be rediscovered?

**2.** Where did Rome capture city states?

**3.** With Archimedes' polygons, how much less was the circumference than the diameter?

**4.** After Archimedes used a common Greek measure to estimate the number of grains of sand in the universe, what measure did he use?

**5.** What is the solid of a circle?

## Short Essay Questions

**1.** What happens when a pebble is dropped into a pond?

**2.** Before Archimedes, how did people find the area of a circle?

**3.** What interests mathematicians regarding Archimedes and square roots?

**4.** Where is the earth's center of gravity?

**5.** Why did Archimedes not want to help King Hiero make plans to defend Syracuse from a possible attack?

**6.** How did Archimedes estimate the number of grains that would fill the universe?

**7.** Why isn't the center of gravity always at the center of an object?

**8.** How did Archimedes figure the area of a circle?

**9.** Describe Marcellus' fleet that he sent to attack Syracuse.

**10.** What agreement did the Romans and Carthaginians make to divide the Mediterranean between themselves?

This section contains 769 words(approx. 3 pages at 300 words per page) |