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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. Who acted as the gate keepers of knowledge?**
**(a)** Arabian scholars. **(b)** Greek philosophers. **(c)** Roman emporers. **(d)** Greek tradesman.

**2. What instruments did the Greeks use to square a shape?**
**(a)** A small grid. **(b)** A pendulum. **(c)** A compass and a ruled straight-edge. **(d)** A sphere and ruler.

**3. In Elements, how many postulates must be accepted as given?**
**(a)** Eighteen. **(b)** Twelve, **(c)** Twenty-two. **(d)** Five.

**4. What did Apollonius work with in mathematics?**
**(a)** He worked on advanced algebra. **(b)** He worked on conics. **(c)** He develped a way to measure the volume of a sphere. **(d)** He discovered the algrebraic equation.

**5. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the relationship between ratios in triangles. **(b)** He studied the volume to surface area ratios of cubes. **(c)** He studied the volume and surface area of spheres, cones, and cylinders. **(d)** He studied the relationship of sine to cosine.

## Short Answer Questions

**1.** What did Dunham claim about Archimedes's determination of a number value for pi?

**2.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**3.** What did Euclid do in his 48th proposition?

**4.** Which of the following were an example of twin primes?

**5.** What provided most of the content in the book Elements?

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