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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) Quadratic equation.
(b) Triangulation.
(c) Quintic equation.
(d) Geometric equation.

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

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

4. In general, what did Euclid's number theory describe?
(a) The nature of whole numbers.
(b) The relationship of decimals to integers.
(c) The relationship of fractions to decimals.
(d) The nature of measuring geometry.

5. In what time period did mathematicians find a solution to cubic equations?
(a) Fifteen century.
(b) Thirteenth century.
(c) Twentieth century.
(d) Seventeeth century.

Short Answer Questions

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

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

3. Which of the following was NOT defined by Euclid?

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

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

(see the answer key)

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