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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. What is true about prime numbers?**
**(a)** That for every group of prime numbers, there exists at least one more prime. **(b)** Prime numbers can not exist in a finite series. **(c)** Prime numbers are not divisible by other numbers. **(d)** Prime numbers can never be an odd number.

**2. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Thirteenth century. **(b)** Fifteen century. **(c)** Twentieth century. **(d)** Seventeeth century.

**3. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Pacioli. **(b)** Fontana. **(c)** Cardano. **(d)** Fior,

**4. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Intersection. **(b)** Parallel line. **(c)** Circle. **(d)** 180 degree angle.

**5. What was known about pi, during Archimedes' time?**
**(a)** That it could not be assigned a relationship between measurements in a circle. **(b)** Nothing, the concept of pi was unknown. **(c)** That it was never the same number value for a given circle. **(d)** That is was the relationship between the diameter and circumference of a circle.

## Short Answer Questions

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

**2.** What was Eratosthanes most famous for?

**3.** After working on pi, what did Archimedes continue with in his study of mathematics?

**4.** After Hippocrates, what shape did the Greeks attempt to square without success?

**5.** What was Hippocrates famous for?

## Short Essay Questions

**1.** Explain who was Hippocrates, his contribution to mathematics, and how do we know about him?

**2.** Describe the events that follow del Ferro's death between Fior and Tartaglia.

**3.** What did Euclid state for his theory on prime numbers?

**4.** Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?

**5.** What was already known about circles before Archimedes?

**6.** Summarize, in a sentence, what was Hippocates's great theorem, and what was it based on according to Dunham?

**7.** Describe why Dunham infers that Euclid's Elements was an evolutionary book not so much for what it said, but in how it was presented.

**8.** What did Dunham describe in the epilogue of the chapter?

**9.** Describe Euclid's postulates and notions in how they were important in constructing his proofs.

**10.** Describe what is quadrature and why it was useful in the time of Hippocrates.

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