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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. What did Plato use his inspiration from Euclid for?**
**(a)** To create a new theorem of algebra. **(b)** To classify geometric shapes by their complexity. **(c)** To prove Euclid's number theory was incorrect. **(d)** To construct his theory on the shape of the Universe.

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

**3. Which of the following is true in modern math about twin primes?**
**(a)** They are infinite. **(b)** We don't know if they are finite or infinite. **(c)** Their sum is always another prime number. **(d)** They are not considered whole numbers.

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

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

## Short Answer Questions

**1.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

**2.** Which is one of the common notions presented in Elements?

**3.** According to Euclid, when is a triangle a right triangle?

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

**5.** In Elements, how many postulates must be accepted as given?

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