2. What did Hippocrates do that advanced mathematical methods?
(a) He demonstrated that geometry does not have to be based on previous knowledge.
(b) He built theorems based on sequencially more complex proofs.
(c) He created a new ways to disprove theories.
(d) He proved that mathematics can be applied in a unlogical order.

3. Who was the author of the book Elements?
(a) Einstein.
(b) Euclid.
(c) Hippocrates.
(d) Lindemann.

4. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Intersection.
(b) Parallel lines.
(c) 180 degree angle.
(d) Circle.

5. What is a "depressed cubic"?
(a) A method to logically square all the factors in a cubic equation.
(b) A method to simpify the x squared value in a cubic equation.
(c) A method to solve equations with two variables.
(d) A method to simplify measuring complex geometric forms.

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

7. 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) That for every group of prime numbers, there exists at least one more prime.
(d) Prime numbers can not exist in a finite series.

8. What instruments did the Greeks use to square a shape?
(a) A compass and a ruled straight-edge.
(b) A sphere and ruler.
(c) A pendulum.
(d) A small grid.

9. What was the title of Cardano's book which contained the solution to the cubic?
(a) Ars Magna.
(b) La Magnifica.
(c) Tarsisia.
(d) Elements.

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

11. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Thales.
(b) Pythagoras.
(c) Hippocrates.
(d) Aristotle.

12. Where was Archimedes born?
(a) Sicily.
(b) Rome.
(c) Olympia.
(d) Athens.

13. Exactly what limit is reached at a quartic equation?
(a) The limit of logical geometric proofs.
(b) The limit of the decompressed cubic method.
(c) The limit of algebra.
(d) The limit of the Pythagorean Theorem.

14. Which mathematician was first to take the challenge to solve cubic equations?
(a) Tartaglia.
(b) Luca Pacioli.
(c) Scipione del Ferro.
(d) Niccolo Fontana.

15. Which of the following were an example of twin primes?
(a) 19 and 22.
(b) 15 and 16.
(c) 2 and 6.
(d) 11 and 13.