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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. When did people first glimpse the idea of gravity and its effects?**
**(a)** 17th century. **(b)** 12th century. **(c)** Some time during the 200s B.C. **(d)** Some time during the 600s B.C.

**2. What is the circumference of a circle?**
**(a)** The ratio between the diameter and the radius. **(b)** The distance from the center of a circle to the rim. **(c)** The distance around the circle. **(d)** The distance from rim to rim of a circle.

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

**4. What is the solid of a triangle?**
**(a)** Cube. **(b)** Cone. **(c)** Sphere. **(d)** Box.

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

## Short Answer Questions

**1.** When did Marcellus notice a poorly guarded wall and tower in Syracuse?

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

**3.** How many papers did Archimedes write about arithmetic?

**4.** Which area of scientific discovery was not part of Archimedes work?

**5.** In how many books that Archimedes sent to his friends, did he make deliberate errors?

## Short Essay Questions

**1.** What is a chain reaction in a nuclear explosion?

**2.** How did Archimedes figure the area of a circle?

**3.** How do mathematicians figure the area of a circle?

**4.** What calculations did Archimedes use to show how numbers were infinite?

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

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

**7.** Describe Marcellus' fleet that he sent to attack Syracuse.

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

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

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

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