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

2. Where did Rome capture city states?
(a) Italy.
(b) France.
(c) Greece.
(d) Egypt.

3. How did Marcellus' soldiers enter Syracuse?
(a) Through a hole in a wall.
(b) Under the wall.
(c) Over the wall.
(d) Through an unguarded gate.

4. Who were the first people to have ideas about gravity?
(a) Greek scientists.
(b) Egyptian scientists.
(c) Persian scientists.
(d) Babylonian scientists.

5. Who was the Roman general who waged war against Syracuse?
(a) Marcellus.
(b) Aureolus.
(c) Glabrio.
(d) Bonifacius.

Short Answer Questions

1. When do most people believe that the first real understanding of the laws of gravitation began?

2. How much larger did Archimedes believe that the universe (all the stars) was than the Greek universe?

3. When Archimedes estimated the number of grains of sand that would fill the universe, what common Greek measure did he use?

4. Where was Carthage located?

5. What is a name of a paper that Archimedes wrote about arithmetic?

Short Essay Questions

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

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

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

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

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

6. Describe Carthage.

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

8. Before Archimedes, how did people find the area of a circle?

9. What is the center of gravity?

10. Describe Marcellus' fleet that he sent to attack Syracuse.

(see the answer keys)

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