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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. What is the formula for the area of a circle?

2. How many of Hippocrates' men did Marcellus kill?

3. What mathematics is needed to figure the cattle problem?

4. When did Marcellus notice a poorly guarded wall and tower in Syracuse?

5. What would be the area of a circle that had a radius of 2 inches?

Short Essay Questions

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

2. What practical joke did Archimedes play on his friends in Alexandria?

3. What happens when a pebble is dropped into a pond?

4. How do modern scientists work with very large numbers?

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

6. What are some reasons why Archimedes is held in such high esteem by mathematicians?

7. What did Archimedes consider to be his most important work?

8. What is a chain reaction in a nuclear explosion?

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

10. What is the difference between a plane and a solid figure?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Discuss what life was like for Archimedes growing up.

Essay Topic 2

Syracuse was under siege by Marcellus for three years until 212 B.C., when they finally conquered the city. Discuss why and how the Romans conquered Syracuse.

Essay Topic 3

Archimedes worked with plane and solid figures. Discuss plane and solid figures and the work Archimedes did with them.

(see the answer keys)

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