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This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

Multiple Choice Questions

1. Which was true of Euclid's number theory?
(a) It was incorrect, as proved by Plato.
(b) It has an impact on modern math.
(c) It was proven to the true by Hippocrates.
(d) It has been proven too basic to be useful.

2. After working on pi, what did Archimedes continue with in his study of mathematics?
(a) He studied the volume to surface area ratios of cubes.
(b) He studied the relationship between ratios in triangles.
(c) He studied the relationship of sine to cosine.
(d) He studied the volume and surface area of spheres, cones, and cylinders.

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

4. Which of the following did Dunham concentrate on as one of Newton's great advances?
(a) Quintic theorem.
(b) Quadratic equation.
(c) Area of a sphere.
(d) Binomial theorem.

5. What did Dunham claim about Archimedes's determination of a number value for pi?
(a) Archimedes's number was very good, considering he did not have a way to calculate square roots.
(b) Archimedes's number could have been better if he had understood Euclid's work better,
(c) Archimedes's number was perfectly correct.
(d) Archimedes's number was not very accurate, considering the technology of his time.

Short Answer Questions

1. Where did Hippocrates come from?

2. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

3. Who asked Tartaglia for his solution to cubic equations?

4. Which phrase best describes Newton as a student at Cambridge?

5. What did Cantor's cardinal numbers represent?

(see the answer key)

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