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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 was the title of Cardano's book which contained the solution to the cubic?**
**(a)** Tarsisia. **(b)** La Magnifica. **(c)** Ars Magna. **(d)** Elements.

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

**3. What did Euler's sum surprisingly connect?**
**(a)** The circumference of a circle and right triangles. **(b)** The area of squares and the area of circles. **(c)** The area under a curve. **(d)** The squares of area and square roots.

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

**5. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A suggested method to depress all complex geometry. **(b)** A solution to quartic equations. **(c)** A proof of the Pythagorean Theorem. **(d)** An alegrabic solution to quintic equations,

## Short Answer Questions

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

**2.** What series was Euler most famous for?

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

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

**5.** Which of the following was an important proposition given by Euclid's number theory?

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