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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 is a lemma?
(a) A premise that is difficult to solve.
(b) A premise taken for granted.
(c) A premise no one can solve.
(d) A premise that is easy to solve.

2. Where did Carthage have colonies?
(a) Spain.
(b) France.
(c) Germany.
(d) Egypt.

3. What is a good project to learn about centers of gravity?
(a) Make a balance scale.
(b) Experiment with rulers.
(c) Experiment with spoons.
(d) Make a mobile.

4. What tower does not fall because its center of gravity is still over the tower's base?
(a) Leaning Tower of Pisa.
(b) Galatia Tower.
(c) Eiffel Tower.
(d) The London Post Office Tower.

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

Short Answer Questions

1. What part of the Mediterranean Sea did the ships of Carthage control?

2. If two weights weigh the same, where will they balance?

3. What is the solid of a circle?

4. When did Hiero die?

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

Short Essay Questions

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

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

3. Why is it possible for a person to balance standing on one foot?

4. What did Archimedes consider to be his most important work?

5. What did Marcellus do while he held Syracuse in siege?

6. What is the center of gravity?

7. Why isn't the center of gravity always at the center of an object?

8. What happens when a pebble is dropped into a pond?

9. How do mathematicians figure the area of a circle?

10. What happened when a soldier came to bring Archimedes to Marcellus?

(see the answer keys)

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