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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. Which of these is not a plane figure that Archimedes discovered a method for finding the center of gravity?

2. Which of these would be a lemma?

3. What does radius mean?

4. What part of the Mediterranean Sea did the ships of Carthage control?

5. With Archimedes' polygons, how much more was the circumference than the diameter?

Short Essay Questions

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

2. How do mathematicians figure the area of a circle?

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

4. What interests mathematicians regarding Archimedes and square roots?

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

6. Describe Carthage.

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

8. What is the center of gravity?

9. How did Archimedes figure the area of a circle?

10. Why is it possible for a person to balance standing on one foot?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Compare and contrast life in Archimedes' time to life today.

Essay Topic 2

War came to Syracuse as King Hiero had feared. Discuss how Syracuse defended their city.

Essay Topic 3

Archimedes furthered his studies at the Museum in Alexandria. Discuss the library and Museum at Alexandria and Archimedes' studies there.

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