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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. What did Archimedes call the largest number that he worked with?
(a) B100,000.
(b) P100,000,000.
(c) D100,000.
(d) C100,000,000.

2. What part of the Mediterranean Sea did the ships of Carthage control?
(a) Northern.
(b) Southern.
(c) Eastern.
(d) Western.

3. What is the ratio of the area of a circle to the circle's diameter squared?
(a) 5 to 9.
(b) 10 to 12.
(c) 3 to 8.
(d) 11 to 14.

4. With Archimedes' polygons, how much less was the circumference than the diameter?
(a) 2 1/2 times.
(b) 4 1/3 times.
(c) 5 1/8 times.
(d) 3 1/7 times.

5. What is the circumference of a circle?
(a) The ratio between the diameter and the radius.
(b) The distance from rim to rim of a circle.
(c) The distance from the center of a circle to the rim.
(d) The distance around the circle.

6. Which of these works of Archimedes exists today?
(a) On Levers.
(b) Mechanics.
(c) On Sphere Making.
(d) Parallel Lines.

7. How did Marcellus feel when he watched his soldiers conquer Syracuse?
(a) Sad.
(b) Delighted.
(c) Proud.
(d) Frustrated.

8. What is the solid of a square?
(a) Tetrahedron.
(b) Cube.
(c) Cone.
(d) Box.

9. Where was Carthage located?
(a) Off the coast of Spain.
(b) On the coast of Africa.
(c) Near Turkey.
(d) Near Egypt.

10. 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) Near the bowl of the spoon.
(d) In the center.

11. Which of these is not a plane figure that Archimedes discovered a method for finding the center of gravity?
(a) Parallelogram.
(b) Triangle.
(c) Parabola.
(d) Cone.

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

13. How many of Hippocrates' men did Marcellus kill?
(a) 7,500.
(b) 8,000.
(c) 6,000.
(d) 5,500.

14. How many banks of oars did the galleys have that a Roman general used to attack Syracuse?
(a) Four.
(b) Six.
(c) Eight.
(d) Five.

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

Short Answer Questions

1. How much larger did Archimedes believe that the Greek universe (our solar system) was larger than the earth?

2. For which type of science were Archimedes' demonstrations of centers of gravity the foundation?

3. What scientist do most people believe was the first to understand the laws of gravitation?

4. What is a good project to learn about centers of gravity?

5. How did the people of Syracuse celebrate their favorite festival?

(see the answer keys)

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