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

Jeanne Bendick
This set of Lesson Plans consists of approximately 122 pages of tests, essay questions, lessons, and other teaching materials.
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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

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

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

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

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

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

Short Answer Questions

1. What does it take to cause a chain reaction in a nuclear explosion?

2. How many sides did the polygons have that Archimedes used to determine the area of a circle?

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

4. Who was the Roman general who waged war against Syracuse?

5. What sound did the author mention that could be made in a cave?

Short Essay Questions

1. Before Archimedes, how did people find the area of a circle?

2. How do people know that some of Archimedes' writing have been lost?

3. Why is it possible for a person to balance standing on one foot?

4. How do mathematicians figure the area of a circle?

5. What happens when a pebble is dropped into a pond?

6. Why is Archimedes' "Method" so important to all mathematicians who followed him?

7. What practical joke did Archimedes play on his friends in Alexandria?

8. What is the difference between a plane and a solid figure?

9. Describe Marcellus' fleet that he sent to attack Syracuse.

10. Where is the earth's center of gravity?

(see the answer keys)

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