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

**2. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Five. **(b)** Twenty. **(c)** Ten. **(d)** Fifteen.

**3. 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)** Take a finite group of primes and add them together, plus one. **(c)** Divide a infinite group of primes by the sum of their composites. **(d)** If a new number is found to be composite, then it must have some prime as a divisor.

**4. Which of the following is true in modern math about twin primes?**
**(a)** Their sum is always another prime number. **(b)** We don't know if they are finite or infinite. **(c)** They are not considered whole numbers. **(d)** They are infinite.

**5. Where was Neil's Abel from?**
**(a)** Ireland. **(b)** Finland. **(c)** Great Britian, **(d)** Norway.

## Short Answer Questions

**1.** Which of the following was one of Euclid's great theorems?

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

**3.** Who challenged Tartaglia to a contest to solve cubic equations?

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

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

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