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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 were an example of twin primes?**
**(a)** 19 and 22. **(b)** 15 and 16. **(c)** 2 and 6. **(d)** 11 and 13.

**2. Which of the following was NOT defined by Euclid?**
**(a)** Even numbers. **(b)** Nominal numbers. **(c)** Odd numbers. **(d)** Whole numbers.

**3. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?**
**(a)** Cardano's method. **(b)** del Ferro's method. **(c)** Pacioli's method. **(d)** Fontana's method.

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

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

## Short Answer Questions

**1.** When was Euler born?

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

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

**4.** What hindered Euler's work as he grew older?

**5.** Why did Cardano take an oath to secrecy?

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