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

## Multiple Choice Questions

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

**2. What part of the Mediterranean Sea did the ships of Carthage control?**
**(a)** Eastern. **(b)** Western. **(c)** Southern. **(d)** Northern.

**3. How many sides did the polygons have that Archimedes used to determine the area of a circle?**
**(a)** 36. **(b)** 8. **(c)** 96. **(d)** 112.

**4. What is the ratio of the area of a circle to the circle's diameter squared?**
**(a)** 3 to 8. **(b)** 5 to 9. **(c)** 10 to 12. **(d)** 11 to 14.

**5. Before Archimedes, what did people use to figure the area of a circle?**
**(a)** Pentagons inside and outside the circle. **(b)** Squares inside and outside the circle. **(c)** Octagons inside and outside the circle. **(d)** Triangles inside and outside the circle.

**6. What would be the area of a circle that had a radius of 3 inches?**
**(a)** 5.9986. **(b)** 12.3454. **(c)** 45.33813. **(d)** 28.27431 inches.

**7. How did the people of Syracuse celebrate their favorite festival?**
**(a)** By making sacrifices. **(b)** With dancing, games, food and wine. **(c)** By fasting. **(d)** With plays and feasts.

**8. What does it take to cause a chain reaction in a nuclear explosion?**
**(a)** 30 atoms fused together. **(b)** A single particle of an atom. **(c)** 100 clusters of atoms. **(d)** 15 atoms fused together.

**9. What festival was a favorite of the people in Syracuse?**
**(a)** Greater Dionysia. **(b)** Festival of the Vine Flower. **(c)** Feast to Diana. **(d)** Hieros Gamos.

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

**11. What strait did Carthage control?**
**(a)** Messina. **(b)** Pentland. **(c)** Gibralter. **(d)** Cook.

**12. Which of these would be a lemma?**
**(a)** 1 + 1 = 2. **(b)** 27 - x = 15. **(c)** 33(y)=66. **(d)** a + b = 4c.

**13. In what book did Archimedes give mathematicians a logical way to start any problem and an orderly way of setting things down?**
**(a)** The Sand Reckoner. **(b)** Method. **(c)** On Floating Bodies. **(d)** Ostomachion.

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

**15. Marcellus ordered his soldiers to not take ______________as slaves.**
**(a)** The scientists like Archimedes. **(b)** All free citizens of Syracuse. **(c)** The women of Syracuse. **(d)** The children of Syracuse.

## Short Answer Questions

**1.** How much larger did Archimedes believe that the Greek universe (our solar system) was larger than the earth?

**2.** How did Marcellus feel when he watched his soldiers conquer Syracuse?

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

**4.** What is pi?

**5.** What word means balance?

This section contains 379 words(approx. 2 pages at 300 words per page) |