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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 was Euler's teacher?**
**(a)** Johann Bernoulli. **(b)** Gottfried Leibniz. **(c)** Jakob Bernoulli. **(d)** Isaac Newton.

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

**3. Which of the following was one of Euclid's great theorems?**
**(a)** Prime numbers are more comples than discrete numbers. **(b)** There exists an infinite number of prime numbers. **(c)** There exists an finite number of prime numbers. **(d)** There exists only infinite and whole numbers.

**4. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Numbers from one to ten are only divisible by composite numbers. **(b)** Any even number is divisible by 3. **(c)** Any composite number is divisible by some prime number. **(d)** Any perfect number is divisible by some composite number.

**5. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Manifolds. **(b)** Spheres and cones. **(c)** Regular polyhedrons. **(d)** Triangles.

## Short Answer Questions

**1.** What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

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

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

**4.** What was Euclid's definition of a prime number?

**5.** What is true about prime numbers?

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