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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Which astronomer said that the sun was nine times greater than the moon?
(a) Archimedes.
(b) Eudoxus.
(c) Anaxagorus.
(d) Phidias.

2. What Greek poet would Archimedes have studied?
(a) Hesiod.
(b) Antimachus.
(c) Aeschylus.
(d) Homer.

3. How did Archimedes's family announce his birth?
(a) A slave went to friends and family
(b) Hung an olive branch on the doorpost of their house.
(c) Draped eucalyptus branches around windows of the house.
(d) An announcement was made in the public square.

4. What type of mathematics must engineers use to build bridges?
(a) Trigonometry.
(b) Arithmetic.
(c) Applied Mathematics.
(d) Geometry.

5. Where was Archimedes taken when he had spent days staring at the King's crown and little else?
(a) To see the king.
(b) To his parents' home.
(c) The baths.
(d) To a place to eat.

Short Answer Questions

1. What did Archimedes invent that is still used to drain or irrigate fields, load grain, and run high-speed machines?

2. What was the name of the bugaboo that Archimedes' nurse would read about that frightened him when he was bad?

3. How long did the Romans preserve some of Archimedes' astronomical machines?

4. What laws did Archimedes discover that led to machines that could move heavy loads or increase speeds, or change directions?

5. Where would Archimedes sketch his diagrams when he was in his workroom?

Short Essay Questions

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

2. What is geometry?

3. What did Archimedes notice at the baths, and how did he use that discovery to solve the problem of the crown?

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

5. What are some examples of how force creates work?

6. Why didn't Archimedes write about algebra?

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

8. Why did Aristotle believe that the earth was curved and shaped like a sphere?

9. How was Archimedes' birth celebrated?

10. How did a typical day start for Archimedes?

(see the answer keys)

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