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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 was Hippocrates's great advance to mathematics?**
**(a)** He showed how to simplify the area of a triangle. **(b)** He showed how to square a circle. **(c)** He showed how to square a figure with curved sides. **(d)** He showed how to find the angles in a right triangle.

**2. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Take a finite group of primes and add them together, plus one. **(b)** If a new number is found to be composite, then it must have some prime as a divisor. **(c)** Divide a infinite group of primes by the sum of their composites. **(d)** After summation, the new number can be prime or composite.

**3. What did Gauss set out to prove?**
**(a)** That Euclid's postulate on straight lines was incorrect. **(b)** That a right angle is always equal to 90 degrees. **(c)** That a circle can have less than 360 degrees. **(d)** That the sum of the angles in a triangle is 180 degrees.

**4. 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)** They are not considered whole numbers. **(d)** Their sum is always another prime number.

**5. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Cubation. **(b)** Quadrature. **(c)** Triangulation. **(d)** Square root.

## Short Answer Questions

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

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

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

**4.** What was Hippocrates famous for?

**5.** How many definitions were stated in Elements?

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