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

Multiple Choice Questions

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

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

3. What is a name of a paper that Archimedes wrote about arithmetic?
(a) The Method.
(b) The Sand Reckoner.
(c) Stomachion.
(d) The Palimpsest.

4. What is the solid of a square?
(a) Cube.
(b) Box.
(c) Tetrahedron.
(d) Cone.

5. What was the value of the largest number for which the Greeks had a name?
(a) 100,000.
(b) 1,000,000,000.
(c) 10,000.
(d) 1,000,000.

6. What is the solid of a triangle?
(a) Box.
(b) Cone.
(c) Cube.
(d) Sphere.

7. Where is the center of balance on a spoon?
(a) Near the end of the spoon's handle.
(b) At the bowl of the spoon.
(c) In the center.
(d) Near the bowl of the spoon.

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

9. What does radius mean?
(a) The shortest chord of a circle.
(b) The longest chord of a circle.
(c) The distance around a circle.
(d) Length of a circle from the center to the rim.

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) Fingerbreadths.
(d) Royal Cubit.

11. For which type of science were Archimedes' demonstrations of centers of gravity the foundation?
(a) Thermodynamics.
(b) Statistical mechanics.
(c) Quantum physics.
(d) Theoretical mechanics.

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

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

14. How long was a stadium?
(a) 600 feet.
(b) 12 feet.
(c) 35 feet.
(d) 500 feet.

15. How much larger did Archimedes believe that the universe (all the stars) was than the Greek universe?
(a) 75,000 times.
(b) 10,000 times.
(c) 50,000 times.
(d) 100,000 times.

Short Answer Questions

1. What word means balance?

2. Where was Carthage located?

3. 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 space or volume would the cylinder take up compared to the sphere?

4. What is the formula for the area of a circle?

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

(see the answer keys)

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