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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. Who asked Tartaglia for his solution to cubic equations?
(a) Cardano.
(b) Fior,
(c) Pacioli.
(d) Fontana.

2. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.
(b) He demonstrated that the area of the circle is never less than the area of the triangle.
(c) He demonstrated that the area of the circle is never equal to the area of the triangle.
(d) He demonstrated that the area of the circle is always greater than the area of the triangle.

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

4. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Triangles.
(b) Spheres and cones.
(c) Regular polyhedrons.
(d) Manifolds.

5. In general, what did Euclid's number theory describe?
(a) The relationship of decimals to integers.
(b) The relationship of fractions to decimals.
(c) The nature of whole numbers.
(d) The nature of measuring geometry.

Short Answer Questions

1. As described by Archimedes, what is always true about he diameter of the circle?

2. What did Euclid do in his 48th proposition?

3. What is a "depressed cubic"?

4. To how many decimal places did Newton determine the number for pi?

5. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

(see the answer key)

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