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

2. Which of the following best describes Archimedes as discussed by Dunham?
(a) Mild-mannered researcher.
(b) Absent-minded genius.
(c) Loud and arrogant.
(d) Creative but stubborn.

3. What else, besides a solution to cubic equations, was in Cardano's book?
(a) A solution to quartic equations.
(b) An alegrabic solution to quintic equations,
(c) A proof of the Pythagorean Theorem.
(d) A suggested method to depress all complex geometry.

4. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a circle that contains no lines.
(b) It is possible to connect any two points with a line and make a circle.
(c) It is possible to draw a straight line between an infinite number of points.
(d) It is possible to draw an arc with any three points.

5. How many definitions were stated in Elements?
(a) Eighteen.
(b) Thirty.
(c) Five.
(d) Twenty-three.

Short Answer Questions

1. What did Dunham claim about Archimedes's determination of a number value for pi?

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

3. Which of the following was an important proposition given by Euclid's number theory?

4. Who challenged Tartaglia to a contest to solve cubic equations?

5. Where was Archimedes born?

(see the answer key)

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