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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

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

**2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Spheres and cones. **(b)** Regular polyhedrons. **(c)** Manifolds. **(d)** Triangles.

**3. What did Euclid state about pi in Elements?**
**(a)** There is a constant relationship between the area of a circle and the square of its diameter. **(b)** The proportion of diameter to area is never equal. **(c)** The proportion of area to circumference is never equal. **(d)** There is no relationship between the area of a circle and its circumference.

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

**5. 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.

## Short Answer Questions

**1.** In what century did Archimedes live?

**2.** Where did Hippocrates come from?

**3.** When was the work of these early thinkers rediscovered again in history?

**4.** What did the Pythagorean Theorem accomplish for mathematics?

**5.** What was known about pi, during Archimedes' time?

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