View a FREE sample

This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. What does radius mean?

2. What did Marcellus do while Syracuse was in siege?

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 larger would the surface of the cylinder be than the surface of the sphere?

4. Marcellus ordered his soldiers to not take ______________as slaves.

5. Who succeeded Hiero when he died?

Short Essay Questions

1. What are some reasons why Archimedes is held in such high esteem by mathematicians?

2. How did Archimedes estimate the number of grains that would fill the universe?

3. What is the center of gravity?

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

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

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

7. Describe Carthage.

8. Why isn't the center of gravity always at the center of an object?

9. Why did Archimedes not want to help King Hiero make plans to defend Syracuse from a possible attack?

10. What is a chain reaction in a nuclear explosion?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Archimedes wanted to be more exact than mathematicians before him when figuring the area of a circle. Discuss different methods that Archimedes, mathematicians before him, and mathematicians after him have used to find the area of a circle.

Essay Topic 2

Archimedes used a machine to move a heavy ship. Discuss machines and how they work.

Essay Topic 3

Discuss how and why Archimedes created the Archimedean screw.

(see the answer keys)

This section contains 778 words (approx. 3 pages at 300 words per page) View a FREE sample