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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. What dimensions does a plane figure have?
(a) Length, width and thickness.
(b) Length and width.
(c) Depth and height.
(d) Length and height.

2. When did Marcellus notice a poorly guarded wall and tower in Syracuse?
(a) 225 B.C.
(b) 209 B.C.
(c) 212 B.C.
(d) 215 B.C.

3. Where is the center of balance on a spoon?
(a) At the bowl of the spoon.
(b) Near the end of the spoon's handle.
(c) In the center.
(d) Near the bowl of the spoon.

4. Where is earth's center of gravity in the solar system?
(a) 20,000 miles from the moon.
(b) In the center of the earth.
(c) 15,000 miles from the moon.
(d) Between the moon and Mercury.

5. With Archimedes' polygons, how much more was the circumference than the diameter?
(a) 1 11/63 times.
(b) 6 15/94 times.
(c) 2 5/84 times.
(d) 3 10/71 times.

Short Answer Questions

1. What does it take to cause a chain reaction in a nuclear explosion?

2. What festival was a favorite of the people in Syracuse?

3. What did Marcellus' soldiers use to make noise when they entered Syracuse?

4. Marcellus ordered his soldiers to not take ______________as slaves.

5. What books did Archimedes send to friends in Alexandria with deliberate errors?

Short Essay Questions

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

2. What practical joke did Archimedes play on his friends in Alexandria?

3. Where is the earth's center of gravity?

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

5. What agreement did the Romans and Carthaginians make to divide the Mediterranean between themselves?

6. What calculations did Archimedes use to show how numbers were infinite?

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

8. Why did Marcellus watch the battle for Syracuse with tears in his eyes?

9. How did Archimedes figure the area of a circle?

10. What is the difference between a plane and a solid figure?

(see the answer keys)

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