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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. In general, what did Euclid's number theory describe?
(a) The nature of measuring geometry.
(b) The relationship of decimals to integers.
(c) The relationship of fractions to decimals.
(d) The nature of whole numbers.

2. What was the bases of Hippocrates's proof ?
(a) Properties of points and lines.
(b) Properties of squares and cubes.
(c) Properties of triangles and semicircles.
(d) Properties of area to volume measurements.

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

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

5. In Elements, how many postulates must be accepted as given?
(a) Twelve,
(b) Five.
(c) Twenty-two.
(d) Eighteen.

Short Answer Questions

1. Which of the following becomes an important definition in mathematics that was first presented in Elements?

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

3. Which is one of the common notions presented in Elements?

4. Who was the author of the book Elements?

5. Where did Hippocrates come from?

(see the answer key)

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