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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. To what did a series of ropes and wheels run from King Hiero's ship?

2. How many times in his life did Archimedes leave Sicily and travel?

3. Who was Archimedes' teacher of mathematics at the Museum?

4. How often did three months have to be added to the Greek year?

5. When was Archimedes born?

Short Essay Questions

1. Who was Euclid?

2. What was known about the lands to the north, south, east, and west of Sicily?

3. Where would a boy from Syracuse have spent many hours?

4. What did the Egyptians believe about the earth and stars?

5. What heavy object did King Hiero challenge Archimedes to move?

6. What made King Hiero suspect that his crown might not be solid gold?

7. Why was it important that Archimedes discovered how to find volume?

8. How was Archimedes' birth celebrated?

9. Describe a Greek school like Archimedes attended.

10. Why didn't Archimedes write about algebra?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Archimedes believed that numbers never ended. Discuss large numbers and why Archimedes believed that numbers are infinite.

Essay Topic 2

Archimedes wanted to be more exact than mathematicians before him when figuring the area of a circle. Discuss different methods that Archimedes, mathematicians before him, and mathematicians after him have used to find the area of a circle.

Essay Topic 3

Archimedes thought about and experimented with equilibrium and centers of gravity. Discuss centers of gravity and what Archimedes learned about the subject.

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