Journey Through Genius: The Great Theorems of Mathematics Quiz | Lesson Plans Eight Week Quiz B

William Dunham (mathematician)
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Eight Week Quiz B

Name: _________________________ Period: ___________________

This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) After summation, the new number can be prime or composite.
(b) Divide a infinite group of primes by the sum of their composites.
(c) If a new number is found to be composite, then it must have some prime as a divisor.
(d) Take a finite group of primes and add them together, plus one.

2. Where did Hippocrates come from?
(a) Rome.
(b) Athens.
(c) Constinople.
(d) Chios.

3. Which of the following was NOT defined by Euclid?
(a) Even numbers.
(b) Whole numbers.
(c) Nominal numbers.
(d) Odd numbers.

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

5. What was Euclid's definition of a prime number?
(a) Numbers which can only be divided by themselves and 1.
(b) Numbers which contain an infinite number of composite numbers.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which are divisible by 2.

Short Answer Questions

1. How do we know about Hippocrates proofs and theorems?

2. What did Gauss set out to prove?

3. What was true about Hippocrates's proof?

4. What is true about prime numbers?

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

(see the answer key)

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