View a FREE sample

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 composite number is divisible by some prime number.
(b) Numbers from one to ten are only divisible by composite numbers.
(c) Any perfect number is divisible by some composite number.
(d) Any even number is divisible by 3.

2. Who was del Ferro's student?
(a) Luca Pacioli.
(b) Niccolo Fontana.
(c) Gerolamo Cardano.
(d) Antonio Fior.

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

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

5. What series was Euler most famous for?
(a) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(b) 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .
(c) 1 + 1/2 + 3/4 + 4/5 . . .
(d) 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .

Short Answer Questions

1. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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

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

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

5. How many sides did the pentadecagon have, as presented by Euclid?

(see the answer key)

This section contains 238 words (approx. 1 page at 300 words per page) View a FREE sample