2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid used propositions about similar angles and parallel lines.
(c) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(d) Euclid constructed squares on the sides of right triangles.

3. Which of the following is false about the modern implications of Euclid's number theory?
(a) Euclid's recipe for constructing even perfect numbers is incorrect.
(b) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(c) Whether there are no odd perfect numbers is still not known.
(d) Euclid gave a good idea for how to construct even perfect numbers.

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

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

6. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Gerolamo Cardano.
(b) Scipione del Ferro.
(c) Niccolo Fontana.
(d) Luca Pacioli.

7. Where was the modern number system developed?
(a) In ancient Alexanderia.
(b) In ancient Rome.
(c) In the West.
(d) In the East.

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

9. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
(a) del Ferro's method.
(b) Fontana's method.
(c) Pacioli's method.
(d) Cardano's method.

10. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of oddly shaped pieces of land.
(b) It was useful in determining the distance between two points.
(c) It was useful in finding the area of circles.
(d) It was useful in creating simple elevation maps,

11. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Artist and musician.
(b) Doctor and writer,
(c) Politician.
(d) Inventor and scientist.

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

13. What did Euclid state about pi in Elements?
(a) The proportion of area to circumference is never equal.
(b) The proportion of diameter to area is never equal.
(c) There is no relationship between the area of a circle and its circumference.
(d) There is a constant relationship between the area of a circle and the square of its diameter.

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

15. What did Dunham consider as Archimedes's "masterpiece"?
(a) Archimedes' work on volume to surface area ratios.
(b) Archimedes' work on determining a number value for pi.
(c) Archimedes' work on shperes, cones, and cylinders.
(d) Archimedes' work on determining angular measurements.