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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 is a "depressed cubic"?
(a) A method to logically square all the factors in a cubic equation.
(b) A method to simplify measuring complex geometric forms.
(c) A method to solve equations with two variables.
(d) A method to simpify the x squared value in a cubic equation.

2. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?
(a) 2.
(b) Infinity.
(c) 0.
(d) Nobody has determined the sum.

3. Which of the following was an important proposition given by Euclid's number theory?
(a) Numbers from one to ten are only divisible by composite numbers.
(b) Any perfect number is divisible by some composite number.
(c) Any even number is divisible by 3.
(d) Any composite number is divisible by some prime number.

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 did Euler study at the age of 20?
(a) Cambrigde.
(b) Oxford.
(c) The Academy in St. Petersburg.
(d) University of Moscow.

Short Answer Questions

1. What series was Euler most famous for?

2. What allowed Cardano to justify publishing his book?

3. In what time period did mathematicians find a solution to cubic equations?

4. What didn't Euler attempt?

5. Which was true of Euclid's number theory?

(see the answer key)

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