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

Multiple Choice Questions

1. How long did the Romans preserve some of Archimedes' astronomical machines?
(a) 75 years.
(b) About 100 years.
(c) 150 years.
(d) More than 200 years.

2. What field of mathematics is necessary to create rockets and space travel?
(a) Trigonometry.
(b) Computation.
(c) Algebra.
(d) Calculus.

3. What is the study of shapes in space?
(a) Algebra.
(b) Arithmetic.
(c) Geometry.
(d) Applied Mathematics.

4. After Archimedes spent days staring at the King's crown, who came to take him somewhere?
(a) The king's guard.
(b) His slaves.
(c) His mother.
(d) His father.

5. How many years later after Archimedes' work did another scientist add to the laws of nature that govern liquids at rest?
(a) 500 years.
(b) 750 years.
(c) 1800 years.
(d) 1200 years.

6. How much would an educated man, like an architect, earn in Archimedes' day?
(a) 50 cents a day.
(b) 30 cents a day.
(c) 60 cents a day.
(d) 45 cents a day.

7. What type of mathematics must engineers use to build bridges?
(a) Geometry.
(b) Arithmetic.
(c) Trigonometry.
(d) Applied Mathematics.

8. How many books were in the library at Alexandria?
(a) Half a million.
(b) About a quarter of a million.
(c) 750,000.
(d) 100,000.

9. Who was the first person to indicate latitude and longitude on a map?
(a) Apollonius.
(b) Aristophanes.
(c) Eratosthenes.
(d) Zenodotus.

10. How many miles long would Archimedes' lever have had to be if he had tried to move the earth?
(a) 95 trillion.
(b) 88 sextillion.
(c) 100 million.
(d) 66 billion.

11. Which planet did the Greeks name after the king of the gods?
(a) Mars.
(b) Jupiter.
(c) Venus.
(d) Mercury.

12. What did Archimedes write about mathematics?
(a) Theoretical books.
(b) Textbooks.
(c) Essays.
(d) Proofs.

13. For how many years did Archimedes' war machines defend the city of Syracuse?
(a) Two.
(b) Five.
(c) Three.
(d) Four.

14. How many days were in the Greek year?
(a) 360.
(b) 354.
(c) 345.
(d) 334.

15. What is the work that is to be done with a lever called?
(a) Force.
(b) Fulcrum.
(c) Resistance.
(d) Energy.

Short Answer Questions

1. What hobgoblin would Archimedes' read about to scare him if he was bad?

2. What constellations did Archimedes' teacher of mathematics discover?

3. What is the meaning of the Greek word "mathema" from which mathematics is derived?

4. What was the mathematical subject that Archimedes did not write about?

5. How long was Ptolemy's Museum the center of Greek learning?

(see the answer keys)

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