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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. Where did Hippocrates come from?
(a) Athens.
(b) Chios.
(c) Constinople.
(d) Rome.

2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Triangle.
(b) Hyperbola.
(c) Pentagon.
(d) Hexagon.

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

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

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

Short Answer Questions

1. Besides being a mathematician, what else other work was Archimedes famous for?

2. Which of the following is true in modern math about twin primes?

3. Which of the following could NOT be included as a step in Euclid's great theorem?

4. What did the Pythagorean Theorem accomplish for mathematics?

5. What did Dunham consider extraordinary about the Elements?

(see the answer key)

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