2. When Buffon, a French scientist, made a mirror following the description of Archimedes' mirrors, how far away could he set fire to wood?
(a) 100 feet.
(b) 75 feet.
(c) 50 feet.
(d) 150 feet.

3. With Archimedes' polygons, how much more was the circumference than the diameter?
(a) 2 5/84 times.
(b) 6 15/94 times.
(c) 1 11/63 times.
(d) 3 10/71 times.

4. Which of these is not a plane figure that Archimedes discovered a method for finding the center of gravity?
(a) Triangle.
(b) Cone.
(c) Parabola.
(d) Parallelogram.

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

6. How many different sciences did Archimedes begin?
(a) Four.
(b) Two.
(c) Three.
(d) One.

7. What did Marcellus do while Syracuse was in siege?
(a) Conquered Sparta.
(b) Overran much of Sicily.
(c) Overran much of Corinth.
(d) Conquered Athens.

8. Who were the first people to have ideas about gravity?
(a) Babylonian scientists.
(b) Egyptian scientists.
(c) Greek scientists.
(d) Persian scientists.

9. What did Marcellus' soldiers use to make noise when they entered Syracuse?
(a) Glass jars.
(b) Bullhorns.
(c) Shouts.
(d) Trumpets.

10. What dimensions does a plane figure have?
(a) Length and width.
(b) Depth and height.
(c) Length and height.
(d) Length, width and thickness.

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

12. How many papers did Archimedes write about arithmetic?
(a) Two.
(b) Four.
(c) Five.
(d) Three.

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

14. Marcellus ordered his soldiers to not take ______________as slaves.
(a) The women of Syracuse.
(b) All free citizens of Syracuse.
(c) The scientists like Archimedes.
(d) The children of Syracuse.

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

Short Answer Questions

1. 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?

2. What word means balance?

3. Where did Rome capture city states?

4. What mathematics is needed to figure the cattle problem?

5. What calculation today does not use the unusual mathematical properties of a spiral?

(see the answer keys)

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