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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. If two weights weigh the same, where will they balance?

2. How long was a stadium?

3. When did people first glimpse the idea of gravity and its effects?

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

5. Who were the first people to have ideas about gravity?

Short Essay Questions

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

2. What interests mathematicians regarding Archimedes and square roots?

3. What did Archimedes set out to prove in "The Sand Reckoner"?

4. What did Marcellus do while he held Syracuse in siege?

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

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

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

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

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

10. Where is the earth's center of gravity?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

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 2

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

Essay Topic 3

Archimedes made many contributions to astronomy. Discuss Archimedes' contributions to astronomy.

(see the answer keys)

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