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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. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Discrete numbers. **(b)** Even numbers. **(c)** Perfect numbers. **(d)** Composite numbers.

**2. Why did Cardano take an oath to secrecy?**
**(a)** It was the only way to get Tartaglia's solution to cubic equations. **(b)** It was to the only way to win the contest with Fior, **(c)** It was the only way he could become a priest, **(d)** It was the only way to get his book published.

**3. What series was Euler most famous for?**
**(a)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . . **(b)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . . **(c)** 1 + 1/2 + 3/4 + 4/5 . . . **(d)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .

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

**5. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of algebra. **(b)** The limit of the decompressed cubic method. **(c)** The limit of logical geometric proofs. **(d)** The limit of the Pythagorean Theorem.

## Short Answer Questions

**1.** What was the title of Cardano's book which contained the solution to the cubic?

**2.** What didn't Euler attempt?

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

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

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

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