View a FREE sample

This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. What historian wrote an account of the battle between Rome and Syracuse?
(a) Livy.
(b) Plutarch.
(c) Sallust.
(d) Herodotus.

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

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

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

5. What is a lemma?
(a) A premise that is difficult to solve.
(b) A premise no one can solve.
(c) A premise taken for granted.
(d) A premise that is easy to solve.

Short Answer Questions

1. How do people know that some of Archimedes' writings have been lost?

2. What is pi?

3. When did people first glimpse the idea of gravity and its effects?

4. For which type of science were Archimedes' demonstrations of centers of gravity the foundation?

5. With Archimedes' polygons, how much more was the circumference than the diameter?

Short Essay Questions

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

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

3. What agreement did the Romans and Carthaginians make to divide the Mediterranean between themselves?

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

5. How did Archimedes figure the area of a circle?

6. What did Archimedes set out to prove in "The Sand Reckoner"?

7. Describe Carthage.

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

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

10. What were the people of Syracuse doing when the Romans crept into their city?

(see the answer keys)

This section contains 782 words (approx. 3 pages at 300 words per page) View a FREE sample