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

Multiple Choice Questions

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

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

3. What time of day did Marcellus order his soldiers to make a noise when they entered Syracuse?
(a) Dusk.
(b) Midnight.
(c) Mid-morning.
(d) Daybreak.

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

5. What is the solid of a rectangle?
(a) Tetrahedron.
(b) Sphere.
(c) Cube.
(d) Box.

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

7. How did Marcellus feel when he watched his soldiers conquer Syracuse?
(a) Delighted.
(b) Proud.
(c) Sad.
(d) Frustrated.

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

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

10. What did Archimedes call the largest number that he worked with?
(a) B100,000.
(b) C100,000,000.
(c) D100,000.
(d) P100,000,000.

11. How many banks of oars did the galleys have that a Roman general used to attack Syracuse?
(a) Five.
(b) Eight.
(c) Four.
(d) Six.

12. What tower does not fall because its center of gravity is still over the tower's base?
(a) The London Post Office Tower.
(b) Eiffel Tower.
(c) Galatia Tower.
(d) Leaning Tower of Pisa.

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

14. Before Archimedes, what did people use to figure the area of a circle?
(a) Pentagons inside and outside the circle.
(b) Triangles inside and outside the circle.
(c) Octagons inside and outside the circle.
(d) Squares inside and outside the circle.

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

Short Answer Questions

1. What is a good project to learn about centers of gravity?

2. In how many books that Archimedes sent to his friends, did he make deliberate errors?

3. Who were the first people to have ideas about gravity?

4. What word means balance?

5. 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?

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