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This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

## Multiple Choice Questions

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

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

**3. Which of the following did Dunham concentrate on as one of Newton's great advances?**
**(a)** Quadratic equation. **(b)** Area of a sphere. **(c)** Quintic theorem. **(d)** Binomial theorem.

**4. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Fifteen century. **(b)** Seventeeth century. **(c)** Thirteenth century. **(d)** Twentieth century.

**5. Which of the following best describes Archimedes as discussed by Dunham?**
**(a)** Creative but stubborn. **(b)** Loud and arrogant. **(c)** Mild-mannered researcher. **(d)** Absent-minded genius.

## Short Answer Questions

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

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

**3.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**4.** How did Euler prove if the number 4,294,967,297 was prime or composite?

**5.** How did Archimedes arrive at a number value for pi?

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