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Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

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

**2. Which of the following best describes Cardano's character?**
**(a)** Religious. **(b)** Eccentric. **(c)** Arrogant. **(d)** Flirtacious.

**3. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** An alegrabic solution to quintic equations, **(b)** A solution to quartic equations. **(c)** A suggested method to depress all complex geometry. **(d)** A proof of the Pythagorean Theorem.

**4. Who was the author of the book Elements?**
**(a)** Einstein. **(b)** Lindemann. **(c)** Hippocrates. **(d)** Euclid.

**5. What is a "depressed cubic"?**
**(a)** A method to simplify measuring complex geometric forms. **(b)** A method to logically square all the factors in a cubic equation. **(c)** A method to solve equations with two variables. **(d)** A method to simpify the x squared value in a cubic equation.

**6. 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)** Composite numbers. **(d)** Perfect numbers.

**7. What did Dunham consider extraordinary about the Elements?**
**(a)** How geometric proofs were presented. **(b)** The content was totally unique. **(c)** How Hippocrates ordered the book. **(d)** The content was not based on previous authors' work.

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

**9. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Manifolds. **(b)** Regular polyhedrons. **(c)** Triangles. **(d)** Spheres and cones.

**10. Which was true of Euclid's number theory?**
**(a)** It has an impact on modern math. **(b)** It has been proven too basic to be useful. **(c)** It was proven to the true by Hippocrates. **(d)** It was incorrect, as proved by Plato.

**11. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's origins of the universe. **(b)** Heron's political tendancy. **(c)** Heron's religious beliefs- **(d)** Heron's complicated proof.

**12. In what century did Archimedes live?**
**(a)** Twelthf century A.D. **(b)** Nineteeth century A.D. **(c)** First century A.D, **(d)** Third century B.C.

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

**14. According to Dunham, who was most able to collect knowledge from around the globe?**
**(a)** Greek tradesman. **(b)** Greek philosophers. **(c)** Arabian scholars. **(d)** Roman emporers.

**15. What allowed Cardano to justify publishing his book?**
**(a)** He was dead, and the book was really published by his student. **(b)** He was punished as a heretic, **(c)** He found del Ferro's orgininal solution to the cubic. **(d)** He found Fior's documents which spoke against Tartaglia.

## Short Answer Questions

**1.** What was Euclid's definition of a prime number?

**2.** In what time period did mathematicians find a solution to cubic equations?

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

**4.** Which of the following is false about the modern implications of Euclid's number theory?

**5.** Which of the following was NOT one of the basic definitions in Elements?

This section contains 613 words(approx. 3 pages at 300 words per page) |