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

2. Which of the following was one of Euclid's great theorems?
(a) There exists an finite number of prime numbers.
(b) Prime numbers are more comples than discrete numbers.
(c) There exists an infinite number of prime numbers.
(d) There exists only infinite and whole numbers.

3. What allowed Cardano to justify publishing his book?
(a) He found Fior's documents which spoke against Tartaglia.
(b) He found del Ferro's orgininal solution to the cubic.
(c) He was punished as a heretic,
(d) He was dead, and the book was really published by his student.

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

5. Which of the following is an example of a perfect number?
(a) 10.
(b) 1.
(c) 6.
(d) 20.

Short Answer Questions

1. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

2. Which of the following were an example of twin primes?

3. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

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

5. What were the main technique(s) that Euler used to find the sum of the series?

(see the answer key)

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