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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. Where was the modern number system developed?**
**(a)** In ancient Alexanderia. **(b)** In the West. **(c)** In the East. **(d)** In ancient Rome.

**2. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Circle. **(b)** Hemisphere. **(c)** Parallelogram. **(d)** Pentagon.

**3. What is true about the successive squared denominator series proposed by the Bernoullis?**
**(a)** The sum diverges into infinity. **(b)** The sum converges. **(c)** The sum diverges. **(d)** The sum converges to 2.

**4. What did Dunham claim about Archimedes's determination of a number value for pi?**
**(a)** Archimedes's number could have been better if he had understood Euclid's work better, **(b)** Archimedes's number was not very accurate, considering the technology of his time. **(c)** Archimedes's number was perfectly correct. **(d)** Archimedes's number was very good, considering he did not have a way to calculate square roots.

**5. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**
**(a)** Gravity. **(b)** Volume. **(c)** Area. **(d)** Metric system.

## Short Answer Questions

**1.** What was most noticeable about Euler at a young age?

**2.** What did Euclid state about pi in Elements?

**3.** As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

**4.** What did the Pythagorean Theorem accomplish for mathematics?

**5.** Which word best describes Newton's childhood?

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