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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. What was known about pi, during Archimedes' time?
(a) That it was never the same number value for a given circle.
(b) That is was the relationship between the diameter and circumference of a circle.
(c) That it could not be assigned a relationship between measurements in a circle.
(d) Nothing, the concept of pi was unknown.

2. Who acted as the gate keepers of knowledge?
(a) Roman emporers.
(b) Greek philosophers.
(c) Arabian scholars.
(d) Greek tradesman.

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

4. When was the work of these early thinkers rediscovered again in history?
(a) In the Elizabethian age.
(b) In the Renaissance.
(c) In the 20th century.
(d) In the 18th century.

5. Heron's work referred to the work of what other famous scholar?
(a) Thales.
(b) Euclid.
(c) Archimedes.
(d) Hippocrates.

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

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

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

9. Which of the following was true about Cardano, according to Dunham?
(a) He was a priest.
(b) He had three wives.
(c) He was jailed for heresy.
(d) He was not a mathematician.

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

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

12. According to Euclid, when is a triangle a right triangle?
(a) When a triangle can be constructed with three unequal sides.
(b) When a triangle does not have a side which can be considered a hypotenuse.
(c) When a triangle has three sides whose squares are equal to the area of the triangle.
(d) When a triangle has a side whose square is the sum of the squares of the two legs.

13. Which of the following was NOT one of Gauss' discoveries?
(a) "Non-euclidean" geometry.
(b) That angles in a triangles can not add up to more than 180 degrees.
(c) That under Euclid's definition parallel lines can intersect.
(d) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.

14. How many sides did the pentadecagon have, as presented by Euclid?
(a) Ten.
(b) Fifteen.
(c) Twenty.
(d) Five.

15. Who was del Ferro's student?
(a) Niccolo Fontana.
(b) Gerolamo Cardano.
(c) Luca Pacioli.
(d) Antonio Fior.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

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

3. Which of the following is true about pi, as described by Dunham.

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

5. After Hippocrates, what shape did the Greeks attempt to square without success?

(see the answer keys)

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