|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?
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?
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?
(b) Regular polyhedrons.
(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?
(b) 180 degree angle.
(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)