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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. How do we know about Hippocrates proofs and theorems?**
**(a)** What we know is from references of later mathematicians. **(b)** What is known from archived documents of his time. **(c)** Mathematicians rewrote all of his proofs after his death, **(d)** His books and publications.

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

**3. In general, what did Euclid's number theory describe?**
**(a)** The nature of measuring geometry. **(b)** The relationship of fractions to decimals. **(c)** The nature of whole numbers. **(d)** The relationship of decimals to integers.

**4. Which of the following were an example of twin primes?**
**(a)** 15 and 16. **(b)** 2 and 6. **(c)** 11 and 13. **(d)** 19 and 22.

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

## Short Answer Questions

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

**2.** Which of the following is an example of a postulate that must be accepted in Elements?

**3.** What was Hippocrates's great advance to mathematics?

**4.** Which of the following was one of Euclid's great theorems?

**5.** What does the Pythagorean Theorem state?

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