View a FREE sample

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

Multiple Choice Questions

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

2. 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.

3. How did Marcellus' soldiers enter Syracuse?
(a) Under the wall.
(b) Through a hole in a wall.
(c) Through an unguarded gate.
(d) Over the wall.

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

5. Who was the Roman general who waged war against Syracuse?
(a) Marcellus.
(b) Glabrio.
(c) Bonifacius.
(d) Aureolus.

6. With Archimedes' polygons, how much less was the circumference than the diameter?
(a) 3 1/7 times.
(b) 4 1/3 times.
(c) 2 1/2 times.
(d) 5 1/8 times.

7. What is the solid of a square?
(a) Tetrahedron.
(b) Box.
(c) Cone.
(d) Cube.

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

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

10. What scientist do most people believe was the first to understand the laws of gravitation?
(a) Archimedes.
(b) Blaise Pascal.
(c) Nicholas Copernicius.
(d) Sir Isaac Newton.

11. 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 space or volume would the cylinder take up compared to the sphere?
(a) 1 1/2 times.
(b) 3 1/2 times.
(c) 4 times.
(d) 6 times.

12. When do most people believe that the first real understanding of the laws of gravitation began?
(a) 300 A.D.
(b) 12th century.
(c) 17th century.
(d) 300 B.C.

13. What did Marcellus' soldiers use to make noise when they entered Syracuse?
(a) Bullhorns.
(b) Glass jars.
(c) Trumpets.
(d) Shouts.

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

15. Which mathematicians probably used a decimal system of numbers?
(a) Hipparchus and Ptolemy.
(b) Thales and Pythagorus.
(c) Archimedes and Apollonius.
(d) Euclid and Aristotle.

Short Answer Questions

1. What can a giant radio telescope fill with broadcast signals?

2. What calculation today does not use the unusual mathematical properties of a spiral?

3. What is the solid of a circle?

4. What is a lemma?

5. Where did Rome capture city states?

(see the answer keys)

This section contains 409 words (approx. 2 pages at 300 words per page) View a FREE sample