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. What was Hippocrates famous for?
(a) His ability to construct circles without a compass.
(b) His proof defining gravity.
(c) His theorem on the quadrature of the lune.
(d) His proof on right triangles.

2. What did the Pythagorean Theorem accomplish for mathematics?
(a) The ability to find square roots.
(b) The concept of constructing useful mathematics.
(c) The ability to measure angles.
(d) The concept of providing a logical proof.

3. Which of the following is true in modern math about twin primes?
(a) We don't know if they are finite or infinite.
(b) They are infinite.
(c) Their sum is always another prime number.
(d) They are not considered whole numbers.

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

5. What did Euclid do in his 48th proposition?
(a) Euclid demonstrated how to use the Pythagorean Theorem.
(b) Euclid proved the converse of the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid proved the Pythagorean Theorem.

Short Answer Questions

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

2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

3. Who was the author of the book Elements?

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

5. What does the Pythagorean Theorem state?

(see the answer key)

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