*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

## Multiple Choice Questions

**1. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?**
**(a)** Nominal number. **(b)** Composite number. **(c)** Even number. **(d)** Perfect number.

**2. Who was del Ferro's student?**
**(a)** Niccolo Fontana. **(b)** Antonio Fior. **(c)** Luca Pacioli. **(d)** Gerolamo Cardano.

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

**4. Which mathematician was first to take the challenge to solve cubic equations?**
**(a)** Tartaglia. **(b)** Luca Pacioli. **(c)** Niccolo Fontana. **(d)** Scipione del Ferro.

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

## Short Answer Questions

**1.** Which of the following were an example of twin primes?

**2.** Which of the following can not be solved using algebra?

**3.** In general, what did Euclid's number theory describe?

**4.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

**5.** What sum did Euler find for the series?

This section contains 261 words(approx. 1 page at 300 words per page) |