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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

## Multiple Choice Questions

**1. How did Archimedes demonstrate his theory of pi?**
**(a)** He demonstrated that the area of the circle is never equal to the area of the triangle. **(b)** He demonstrated that the area of the circle is never less than the area of the triangle. **(c)** He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it. **(d)** He demonstrated that the area of the circle is always greater than the area of the triangle.

**2. What was true about Hippocrates's proof?**
**(a)** It was fairly easy and simple. **(b)** The proof was easy if their was advanced technology available. **(c)** It was useful for circles. **(d)** The proof was exceedingly difficult and not understood at the time.

**3. What is true about prime numbers?**
**(a)** That for every group of prime numbers, there exists at least one more prime. **(b)** Prime numbers are not divisible by other numbers. **(c)** Prime numbers can not exist in a finite series. **(d)** Prime numbers can never be an odd number.

**4. In Elements, how many postulates must be accepted as given?**
**(a)** Twelve, **(b)** Five. **(c)** Eighteen. **(d)** Twenty-two.

**5. What was known about pi, during Archimedes' time?**
**(a)** That it was never the same number value for a given circle. **(b)** Nothing, the concept of pi was unknown. **(c)** That it could not be assigned a relationship between measurements in a circle. **(d)** That is was the relationship between the diameter and circumference of a circle.

## Short Answer Questions

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

**2.** What allowed Cardano to justify publishing his book?

**3.** Which mathematician was first to take the challenge to solve cubic equations?

**4.** Who was Neil's Abel?

**5.** After working on pi, what did Archimedes continue with in his study of mathematics?

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