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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 great Greek teacher who lived more than one hundred years before Archimedes believed it was important to learn geometry?

2. What type of mathematics must engineers use to build bridges?

3. Whom did Archimedes enjoy arguing with regarding whether pure reason was better than practical knowledge?

4. Where would Archimedes sketch his diagrams when he was sitting by the fire in the evening?

5. Who was Archimedes' predecessor in the field of mathematics?

Short Essay Questions

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

2. What might have been the first thing that thing that Archimedes saw when he entered the Alexandria harbor?

3. What is geometry?

4. How did Archimedes write?

5. Why would a slave be put in charge of Archimedes when he started school?

6. What was the Museum, and who worked there?

7. Describe a Greek school like Archimedes attended.

8. Why didn't Archimedes write about algebra?

9. How was Archimedes' birth celebrated?

10. What is a hydrometer and how does it work?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

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 2

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

Essay Topic 3

Discuss the principles that Archimedes learned about liquids which led to the beginning of hydrostatics.

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