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

## Multiple Choice Questions

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

**2. What dimensions does a plane figure have?**
**(a)** Depth and height. **(b)** Length and width. **(c)** Length and height. **(d)** Length, width and thickness.

**3. What books did Archimedes send to friends in Alexandria with deliberate errors?**
**(a)** On Conoids and Spheroids. **(b)** The Sphere and the Cylinder. **(c)** On the Measurement of a Circle. **(d)** The Quadrature of the Parabola.

**4. When did Marcellus notice a poorly guarded wall and tower in Syracuse?**
**(a)** 212 B.C. **(b)** 209 B.C. **(c)** 225 B.C. **(d)** 215 B.C.

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

## Short Answer Questions

**1.** What is always the same as the area of a circle if one side was the same as the radius of the circle?

**2.** How much larger did Archimedes believe that the universe (all the stars) was than the Greek universe?

**3.** Before Archimedes, what did people use to figure the area of a circle?

**4.** After Archimedes used a common Greek measure to estimate the number of grains of sand in the universe, what measure did he use?

**5.** Who were the first people to have ideas about gravity?

## Short Essay Questions

**1.** Why did Marcellus watch the battle for Syracuse with tears in his eyes?

**2.** What practical joke did Archimedes play on his friends in Alexandria?

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

**4.** Where is the earth's center of gravity?

**5.** What interests mathematicians regarding Archimedes and square roots?

**6.** What is the center of gravity?

**7.** What did Archimedes consider to be his most important work?

**8.** What happens when a pebble is dropped into a pond?

**9.** Describe Carthage.

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

This section contains 730 words(approx. 3 pages at 300 words per page) |