Archimedes and the Door of Science Test | Final Test - Easy

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

Multiple Choice Questions

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

2. How do people know that some of Archimedes' writings have been lost?
(a) Oral tradition.
(b) A list of them survives.
(c) A list of his writings was engraved on his tomb.
(d) He refers to them or other mathematicians refer to them in other writings.

3. How many of Hippocrates' men did Marcellus kill?
(a) 5,500.
(b) 8,000.
(c) 6,000.
(d) 7,500.

4. What mathematics is needed to figure the cattle problem?
(a) Arithmetic.
(b) Trigonometry.
(c) Algebra.
(d) Calculus.

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

6. When Archimedes worked with a sphere and cylinder, he figured the ratio or relationship of the cylinder to the sphere was ___________.
(a) 6/5.
(b) 3/2.
(c) 10/9.
(d) 7/6.

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

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

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

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

11. In what book did Archimedes give mathematicians a logical way to start any problem and an orderly way of setting things down?
(a) Method.
(b) Ostomachion.
(c) The Sand Reckoner.
(d) On Floating Bodies.

12. What is the ratio of the area of a circle to the circle's diameter squared?
(a) 5 to 9.
(b) 10 to 12.
(c) 3 to 8.
(d) 11 to 14.

13. What is a good project to learn about centers of gravity?
(a) Experiment with rulers.
(b) Make a balance scale.
(c) Make a mobile.
(d) Experiment with spoons.

14. If two weights weigh the same, where will they balance?
(a) At eight inches apart.
(b) In the center.
(c) At equal distances.
(d) At two inches apart.

15. Which of these would be a lemma?
(a) 1 + 1 = 2.
(b) a + b = 4c.
(c) 33(y)=66.
(d) 27 - x = 15.

Short Answer Questions

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

2. After Archimedes used a common Greek measure to estimate the number of grains of sand in the universe, what measure did he use?

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

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

5. What scientist do most people believe was the first to understand the laws of gravitation?

(see the answer keys)

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