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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. When was the city of Alexandria founded?
(a) 429 B.C.
(b) 512 B.C.
(c) 652 B.C.
(d) 332 B.C.

2. Which branch of mathematics had the groundwork for its development laid by Archimedes?
(a) Trigonometry.
(b) Algebra.
(c) Geometry.
(d) Calculus.

3. How many miles long would Archimedes' lever have had to be if he had tried to move the earth?
(a) 88 sextillion.
(b) 66 billion.
(c) 100 million.
(d) 95 trillion.

4. Who was the French scientist who later added to the laws of nature that govern liquids at rest?
(a) Blaise Pascal.
(b) Sebastian Basso.
(c) Henri Becquerel.
(d) Marie Curie.

5. How many times in his life did Archimedes leave Sicily and travel?
(a) Never.
(b) Two times.
(c) Three times.
(d) Once.

Short Answer Questions

1. What was Archimedes' father's occupation?

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

3. How many books were in the library at Alexandria?

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

5. Where was Archimedes taken when he had spent days staring at the King's crown and little else?

Short Essay Questions

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

2. Why was Archimedes an unusual man?

3. Who was Eratosthenes?

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

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

6. Why didn't Archimedes write about algebra?

7. Who was Euclid?

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

9. How did a typical day start for Archimedes?

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

(see the answer keys)

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