2. What do we know in modern times about Heron?
(a) We know he lived in Rome.
(b) We know very little, but much of his work survives.
(c) We know he was a teacher and philosopher but much of his work has been lost.
(d) We know he was an influencial scholar, but we don't know who his students were.

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

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

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

6. Who challenged Tartaglia to a contest to solve cubic equations?
(a) del Ferro.
(b) Cardano.
(c) Fior.
(d) Pacioli.

7. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Discrete numbers.
(b) Composite numbers.
(c) Even numbers.
(d) Perfect numbers.

8. What did Ferdinand Lindeman prove in 1882?
(a) It is impossible to find the square of a semicircle.
(b) It is possible to find the square of a circle.
(c) That the square root of the hypotenuse of a right triangle can not be found.
(d) That the square of a circle can not be found with a compass and a straight-edge.

9. Which of the following was NOT one of the basic definitions in Elements?
(a) Straight Line.
(b) Line.
(c) Right angles.
(d) Parabola.

10. As described by Archimedes, what is always true about he diameter of the circle?
(a) It's equal to pi.
(b) It's equal to the square of the radius.
(c) It's always proportional to its circumference.
(d) It's never proportional to its circumference.

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

12. Who was Neil's Abel?
(a) He demonstrated that Cardano's solution to the cubic was incorrect,
(b) He proved that to solve a quartic equation, one must use more than algebra.
(c) He demonstrated the modern version of the Pythagorean Theorem.
(d) He proved that quintic equations cannot be solved using algebra.

13. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.

14. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi is a challenge that continues into modern mathematics.
(b) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(c) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.
(d) The measurement of pi was redetermined after Archimedes's death.

15. What did Plato use his inspiration from Euclid for?
(a) To prove Euclid's number theory was incorrect.
(b) To construct his theory on the shape of the Universe.
(c) To classify geometric shapes by their complexity.
(d) To create a new theorem of algebra.