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

Multiple Choice Questions

1. Which area of scientific discovery was not part of Archimedes work?
(a) Theory of Relativity.
(b) Mechanics.
(c) Buoyancy.
(d) Principle of Specific Gravity.

2. What would be the area of a circle that had a radius of 3 inches?
(a) 28.27431 inches.
(b) 45.33813.
(c) 5.9986.
(d) 12.3454.

3. What is the formula for the area of a circle?
(a) Subtract the radius from the circumference of a circle.
(b) Multiply the length of the circle from rim to rim times pi.
(c) Multiply pi times the radius of the circle times the radius again.
(d) Multiply the radius times the circumference of a circle.

4. What can a giant radio telescope fill with broadcast signals?
(a) Millions of light-years.
(b) Billions of light-years.
(c) Thousands of light-years.
(d) Pica units of light-years.

5. How did the people of Syracuse celebrate their favorite festival?
(a) By fasting.
(b) With plays and feasts.
(c) By making sacrifices.
(d) With dancing, games, food and wine.

6. How long did Marcellus hold Syracuse in siege.
(a) Two years.
(b) One year.
(c) Four years.
(d) Three years.

7. After Archimedes used a common Greek measure to estimate the number of grains of sand in the universe, what measure did he use?
(a) Royal Cubit.
(b) Stadium.
(c) Cubit.
(d) Fingerbreadths.

8. When do most people believe that the first real understanding of the laws of gravitation began?
(a) 300 B.C.
(b) 300 A.D.
(c) 12th century.
(d) 17th century.

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

10. 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) 8 times.
(b) 6 times.
(c) 1 1/2 times.
(d) 2 1/2 times.

11. What strait did Carthage control?
(a) Gibralter.
(b) Cook.
(c) Pentland.
(d) Messina.

12. Which mathematicians probably used a decimal system of numbers?
(a) Thales and Pythagorus.
(b) Euclid and Aristotle.
(c) Archimedes and Apollonius.
(d) Hipparchus and Ptolemy.

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

14. How much larger did Archimedes believe that the Greek universe (our solar system) was larger than the earth?
(a) 20,000 times.
(b) 30,000 times.
(c) 10,000 times.
(d) 50,000 times.

15. Who succeeded Hiero when he died?
(a) Herodotus.
(b) Hesiod.
(c) Hieronymus.
(d) Pericles.

Short Answer Questions

1. Who was the Roman general who waged war against Syracuse?

2. With Archimedes' polygons, how much less was the circumference than the diameter?

3. What dimensions does a plane figure have?

4. Where is the center of balance on a spoon?

5. What did Marcellus' soldiers use to make noise when they entered Syracuse?

(see the answer keys)

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