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

Multiple Choice Questions

1. In how many books that Archimedes sent to his friends, did he make deliberate errors?
(a) One.
(b) Four.
(c) Two.
(d) Three.

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

3. What did Archimedes want on his tomb?
(a) A figure of a sphere and cylinder.
(b) Drawing of a sphere.
(c) Drawing of a cylinder.
(d) Drawings of plane figures.

4. How many galleys did the Roman general have who attacked Syracuse?
(a) 60.
(b) 40.
(c) 70.
(d) 50.

5. How many sides did the polygons have that Archimedes used to determine the area of a circle?
(a) 96.
(b) 36.
(c) 8.
(d) 112.

6. How or where might other writings of Archimedes be rediscovered?
(a) In palimpsests.
(b) On stone tablets.
(c) By translating ancient manuscripts.
(d) On papyrus rolls.

7. What calculation today does not use the unusual mathematical properties of a spiral?
(a) Speeds.
(b) Distances in space.
(c) Finding an unknown quantity.
(d) Directions.

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

9. What is pi?
(a) Approximately 2.1633.
(b) Approximately 4.6723.
(c) Approximately 3.14159.
(d) Approximately 5.1347.

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

11. What does it take to cause a chain reaction in a nuclear explosion?
(a) 100 clusters of atoms.
(b) 15 atoms fused together.
(c) 30 atoms fused together.
(d) A single particle of an atom.

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

13. 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) 1 1/2 times.
(c) 8 times.
(d) 2 1/2 times.

14. What is always the same as the area of a circle if one side was the same as the radius of the circle?
(a) The area of a right triangle.
(b) The area of an obtuse triangle.
(c) The area of an isosceles triangle.
(d) The area of an acute triangle.

15. When did Hiero die?
(a) 215 B.C.
(b) 220 B.C.
(c) 217 B.C.
(d) 212 B.C.

Short Answer Questions

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

2. What tower does not fall because its center of gravity is still over the tower's base?

3. Who succeeded Hiero when he died?

4. Where is earth's center of gravity in the solar system?

5. What is the solid of a rectangle?

(see the answer keys)

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