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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

Multiple Choice Questions

1. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Even numbers.
(b) Composite numbers.
(c) Discrete numbers.
(d) Perfect numbers.

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

3. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) Take a finite group of primes and add them together, plus one.
(b) If a new number is found to be composite, then it must have some prime as a divisor.
(c) After summation, the new number can be prime or composite.
(d) Divide a infinite group of primes by the sum of their composites.

4. Which of the following best describes Cardano's character?
(a) Eccentric.
(b) Flirtacious.
(c) Arrogant.
(d) Religious.

5. Exactly what limit is reached at a quartic equation?
(a) The limit of the Pythagorean Theorem.
(b) The limit of algebra.
(c) The limit of logical geometric proofs.
(d) The limit of the decompressed cubic method.

Short Answer Questions

1. Who was Euler's teacher?

2. What did Plato use his inspiration from Euclid for?

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

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

5. What sum did Euler find for the series?

(see the answer key)

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