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

**2. What was the same about Apollonius and Erosthanes?**
**(a)** They were both born in the same year. **(b)** They were both mathematicians. **(c)** They both calculated the circumference of the earth. **(d)** They both studied the Universe.

**3. How did Euler prove if the number 4,294,967,297 was prime or composite?**
**(a)** He divided it by 2. **(b)** He used his own rule of squares. **(c)** He factored it. **(d)** He used Newton's calulus methods.

**4. Which words best describe how solid proofs were developed in Elements?**
**(a)** Inverted scaffold. **(b)** Programmed order. **(c)** Axiomatic framework. **(d)** Simple arguments.

**5. What did most of Heron's work deal with?**
**(a)** Theoretical mathematics. **(b)** Practical solutions to public problems. **(c)** Practical mathematics applications. **(d)** Philosophical questions on the origins of the universe.

## Short Answer Questions

**1.** What was known about pi, during Archimedes' time?

**2.** What was true about Heron's theorem as described by Dunham?

**3.** How do we know about Hippocrates proofs and theorems?

**4.** That properties of specific shapes were early Egyptians aware of?

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

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