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's great advance to mathematics?
(a) He showed how to simplify the area of a triangle.
(b) He showed how to square a circle.
(c) He showed how to square a figure with curved sides.
(d) He showed how to find the angles in a right triangle.

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

3. What did Gauss set out to prove?
(a) That Euclid's postulate on straight lines was incorrect.
(b) That a right angle is always equal to 90 degrees.
(c) That a circle can have less than 360 degrees.
(d) That the sum of the angles in a triangle is 180 degrees.

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

5. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?
(a) Cubation.
(b) Quadrature.
(c) Triangulation.
(d) Square root.

Short Answer Questions

1. Which of the following is an example of a postulate that must be accepted in Elements?

2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

3. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

4. What was Hippocrates famous for?

5. How many definitions were stated in Elements?

(see the answer key)

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