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

Multiple Choice Questions

1. Who estimated the circumference of the earth to within one hundred miles?
(a) Aristarchus.
(b) Archimedes.
(c) Anaxagorus.
(d) Eratosthenes.

2. Which branch of mathematics deals with motion and change?
(a) Applied Mathematics.
(b) Algebra.
(c) Trigonometry.
(d) Calculus.

3. What was King Hiero's crown supposed to be made from?
(a) Copper.
(b) Tin.
(c) Gold.
(d) Silver.

4. What type of lever has the force at one end, the resistance at the other end, and the fulcrum in between?
(a) Second-class lever.
(b) Third-class lever.
(c) Fourth-class lever.
(d) First-class lever.

5. Who was Alexander the Great's tutor?
(a) Aristotle.
(b) Socrates.
(c) Plato.
(d) Epicurus.

6. What metal did the King suspect had been substituted in the crown?
(a) Silver.
(b) Copper.
(c) Tin.
(d) Bronze.

7. How many times in his life did Archimedes leave Sicily and travel?
(a) Once.
(b) Three times.
(c) Never.
(d) Two times.

8. Where would Archimedes sketch his diagrams when he was in his workroom?
(a) In sand on the floor.
(b) On pieces of cloth.
(c) On a clay tablet.
(d) On papyrus.

9. What branch of mathematics did Archimedes invent?
(a) Calculus.
(b) Algebra.
(c) Trigonometry.
(d) Geometry.

10. Whom did Archimedes enjoy arguing with regarding whether pure reason was better than practical knowledge?
(a) King Hiero.
(b) Erastosthenes.
(c) Conon.
(d) Apollonius.

11. What was the name of the bugaboo that Archimedes' nurse would read about that frightened him when he was bad?
(a) Medea.
(b) Titan.
(c) Mormo.
(d) Simonides.

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

13. What did Archimedes use to weigh the crown?
(a) An ampere balance.
(b) Tare weight.
(c) Water, jar, and a bowl.
(d) A set of scales.

14. What did the King order after Archimedes moved his ship?
(a) A statue be built of Archimedes.
(b) Archimedes receive a reward.
(c) Archimedes always be believed.
(d) A medal be designed for Archimedes.

15. What principle did Archimedes discover that is one of the basic scientific tests of all the elements?
(a) Specific gravity.
(b) Electromagnetism.
(c) Thermodynamics.
(d) Conservation of Energy.

Short Answer Questions

1. How often did three months have to be added to the Greek year?

2. How old would Archimedes have been when he moved out of the women's quarters?

3. Where was Archimedes taken when he had spent days staring at the King's crown and little else?

4. What was Archimedes favorite branch of mathematics?

5. Which astronomer said that the sun was nine times greater than the moon?

(see the answer keys)

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