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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

## Multiple Choice Questions

**1. Where did Hippocrates come from?**
**(a)** Chios. **(b)** Athens. **(c)** Rome. **(d)** Constinople.

**2. What did Dunham consider as Archimedes's "masterpiece"?**
**(a)** Archimedes' work on determining a number value for pi. **(b)** Archimedes' work on volume to surface area ratios. **(c)** Archimedes' work on shperes, cones, and cylinders. **(d)** Archimedes' work on determining angular measurements.

**3. Which was true of Euclid's number theory?**
**(a)** It was proven to the true by Hippocrates. **(b)** It has been proven too basic to be useful. **(c)** It was incorrect, as proved by Plato. **(d)** It has an impact on modern math.

**4. What did Euclid do in his 48th proposition?**
**(a)** Euclid proved the Pythagorean Theorem. **(b)** Euclid demonstrated the faults of the Pythagorean Theorem. **(c)** Euclid demonstrated how to use the Pythagorean Theorem. **(d)** Euclid proved the converse of the Pythagorean Theorem.

**5. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on right triangles. **(b)** Euclid's postulate on parallel lines. **(c)** Euclid's proof on right triangles. **(d)** Euclid's postulate on creating an arc.

## Short Answer Questions

**1.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**2.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

**3.** What is true about prime numbers?

**4.** Which of the following was NOT one of the basic definitions in Elements?

**5.** What did Archimedes manage to prove using Euclid's ideas?

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