Journey Through Genius: The Great Theorems of Mathematics Quiz | One Week Quiz A

William Dunham (mathematician)
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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. Which of the following can not be solved using algebra?
(a) Triangulation.
(b) Geometric equation.
(c) Quintic equation.
(d) Quadratic equation.

2. How many sides did the pentadecagon have, as presented by Euclid?
(a) Five.
(b) Twenty.
(c) Ten.
(d) Fifteen.

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

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

5. Where was Neil's Abel from?
(a) Ireland.
(b) Finland.
(c) Great Britian,
(d) Norway.

Short Answer Questions

1. Which of the following was one of Euclid's great theorems?

2. Which of the following is an example of a perfect number?

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

4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

5. Which mathematician was first to take the challenge to solve cubic equations?

(see the answer key)

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