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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

**1. What instruments did the Greeks use to square a shape?**
**(a)** A compass and a ruled straight-edge. **(b)** A sphere and ruler. **(c)** A small grid. **(d)** A pendulum.

**2. Where did Euler study at the age of 20?**
**(a)** University of Moscow. **(b)** The Academy in St. Petersburg. **(c)** Oxford. **(d)** Cambrigde.

**3. Which of the following is true about pi, as described by Dunham.**
**(a)** The measurement of pi should not have been so difficult for Archimedes to demonstrate. **(b)** The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics. **(c)** The measurement of pi was redetermined after Archimedes's death. **(d)** The measurement of pi is a challenge that continues into modern mathematics.

**4. What is a "depressed cubic"?**
**(a)** A method to logically square all the factors in a cubic equation. **(b)** A method to solve equations with two variables. **(c)** A method to simplify measuring complex geometric forms. **(d)** A method to simpify the x squared value in a cubic equation.

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

## Short Answer Questions

**1.** What was the same about Apollonius and Erosthanes?

**2.** What did Gauss construct?

**3.** Who encourages Newton during his studies at Cambridge?

**4.** What else, besides a solution to cubic equations, was in Cardano's book?

**5.** Which was true of Euclid's number theory?

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