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

## Multiple Choice Questions

**1. Who challenged Tartaglia to a contest to solve cubic equations?**
**(a)** del Ferro. **(b)** Pacioli. **(c)** Cardano. **(d)** Fior.

**2. What were the main technique(s) that Euler used to find the sum of the series?**
**(a)** Calculus methods. **(b)** Trigonometry and basic algebra. **(c)** Quadratic sums, **(d)** Cubic equations.

**3. What allowed Cardano to justify publishing his book?**
**(a)** He was dead, and the book was really published by his student. **(b)** He found Fior's documents which spoke against Tartaglia. **(c)** He found del Ferro's orgininal solution to the cubic. **(d)** He was punished as a heretic,

**4. Who was Neil's Abel?**
**(a)** He proved that to solve a quartic equation, one must use more than algebra. **(b)** He demonstrated the modern version of the Pythagorean Theorem. **(c)** He demonstrated that Cardano's solution to the cubic was incorrect, **(d)** He proved that quintic equations cannot be solved using algebra.

**5. Which of the following can not be solved using algebra?**
**(a)** Triangulation. **(b)** Geometric equation. **(c)** Quintic equation. **(d)** Quadratic equation.

## Short Answer Questions

**1.** When was Euler born?

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

**3.** Which of the following is an example of a perfect number?

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

**5.** In what time period did mathematicians find a solution to cubic equations?

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