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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 is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "The inverse of a line makes a circle." **(c)** "Things which are equal to the same thing are also equal to each other." **(d)** "Points with equal values can be connected with a line of equal value."

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

**3. What was Euclid's definition of a prime number?**
**(a)** Numbers which contain an infinite number of composite numbers. **(b)** Numbers which are divisible by 2. **(c)** Numbers which do not, and can not, contain a perfect number. **(d)** Numbers which can only be divided by themselves and 1.

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

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

## Short Answer Questions

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

**2.** Who was the author of the book Elements?

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

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

**5.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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