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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

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

**2. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's equal to pi. **(b)** It's never proportional to its circumference. **(c)** It's always proportional to its circumference. **(d)** It's equal to the square of the radius.

**3. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The concept of providing a logical proof. **(b)** The concept of constructing useful mathematics. **(c)** The ability to measure angles. **(d)** The ability to find square roots.

**4. 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 the only way he could become a priest, **(c)** It was the only way to get his book published. **(d)** It was to the only way to win the contest with Fior,

**5. What was the same about the series proposed by Leibniz and the series proposed by Bernoulli?**
**(a)** Both series were convergent. **(b)** Both series were divergent. **(c)** Both series were composed of successively smaller terms. **(d)** Both series were composed of successively larger terms.

## Short Answer Questions

**1.** Where did Newton go to school before he went to Cambridge?

**2.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**3.** Which of the following was a major part of Gauss' work in mathematics?

**4.** What range of values did Archimedes determine for pi?

**5.** Who encourages Newton during his studies at Cambridge?

This section contains 322 words(approx. 2 pages at 300 words per page) |