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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 ratio of the area of a circle to the circle's diameter squared?

2. What word means balance?

3. How many galleys did the Roman general have who attacked Syracuse?

4. What is the solid of a circle?

5. Where was Carthage located?

Short Essay Questions

1. Why is Archimedes' "Method" so important to all mathematicians who followed him?

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

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

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

5. How do people know that some of Archimedes' writing have been lost?

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

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

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

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

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

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

King Hiero wanted Archimedes to determine if his new crown was solid gold. Discuss how Archimedes solved the crown problem using what is called today the Scientific Method.

Essay Topic 2

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

Essay Topic 3

King Hiero was concerned that sooner or later Syracuse was going to be caught in the war between Rome and Carthage. Discuss why King Hiero was concerned about war and what he did about his concerns.

(see the answer keys)

This section contains 647 words (approx. 3 pages at 300 words per page) View a FREE sample