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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

## Multiple Choice Questions

**1. Which of the following is an example of a perfect number?**
**(a)** 6. **(b)** 1. **(c)** 20. **(d)** 10.

**2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Perfect numbers. **(b)** Discrete numbers. **(c)** Composite numbers. **(d)** Even numbers.

**3. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Hippocrates. **(b)** Pythagoras. **(c)** Thales. **(d)** Aristotle.

**4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hyperbola. **(b)** Hexagon. **(c)** Pentagon. **(d)** Triangle.

**5. What did Hippocrates do that advanced mathematical methods?**
**(a)** He built theorems based on sequencially more complex proofs. **(b)** He demonstrated that geometry does not have to be based on previous knowledge. **(c)** He proved that mathematics can be applied in a unlogical order. **(d)** He created a new ways to disprove theories.

## Short Answer Questions

**1.** What was the bases of Hippocrates's proof ?

**2.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**3.** What was most useful about finding the square of a shape, before Hippocrates?

**4.** That properties of specific shapes were early Egyptians aware of?

**5.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

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