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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. Which of these works of Archimedes exists today?
(a) Parallel Lines.
(b) On Levers.
(c) On Sphere Making.
(d) Mechanics.
2. How much larger did Archimedes believe that the Greek universe (our solar system) was larger than the earth?
(a) 20,000 times.
(b) 50,000 times.
(c) 10,000 times.
(d) 30,000 times.
3. Where is the center of balance on a spoon?
(a) In the center.
(b) Near the end of the spoon's handle.
(c) At the bowl of the spoon.
(d) Near the bowl of the spoon.
4. Where did Rome capture city states?
(a) Greece.
(b) Italy.
(c) Egypt.
(d) France.
5. If you took a sphere and made a cylinder whose base was the greatest circle of the sphere and whose height was the diameter of the sphere, how much larger would the surface of the cylinder be than the surface of the sphere?
(a) 6 times.
(b) 8 times.
(c) 1 1/2 times.
(d) 2 1/2 times.
Short Answer Questions
1. How many of Hippocrates' men did Marcellus kill?
2. How do people know that some of Archimedes' writings have been lost?
3. How long was a stadium?
4. When do most people believe that the first real understanding of the laws of gravitation began?
5. What books did Archimedes send to friends in Alexandria with deliberate errors?
Short Essay Questions
1. What calculations did Archimedes use to show how numbers were infinite?
2. How did Archimedes estimate the number of grains that would fill the universe?
3. Describe Carthage.
4. What did Marcellus do while he held Syracuse in siege?
5. How do modern scientists work with very large numbers?
6. What interests mathematicians regarding Archimedes and square roots?
7. Why did Archimedes not want to help King Hiero make plans to defend Syracuse from a possible attack?
8. What are some reasons why Archimedes is held in such high esteem by mathematicians?
9. Why isn't the center of gravity always at the center of an object?
10. What did Archimedes consider to be his most important work?
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This section contains 835 words (approx. 3 pages at 300 words per page) |
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