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Name: _________________________ | Period: ___________________ |

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?

This section contains 759 words(approx. 3 pages at 300 words per page) |