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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

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

**3. Who was Euler's teacher?**
**(a)** Isaac Newton. **(b)** Jakob Bernoulli. **(c)** Johann Bernoulli. **(d)** Gottfried Leibniz.

**4. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?**
**(a)** It's a convergent series of cubic numbers. **(b)** It's a divergent series squared numbers. **(c)** It's a divergent series with a sum of 2. **(d)** It's a convergent series of triangular numbers.

**5. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's proof on right triangles. **(b)** Euclid's postulate on right triangles. **(c)** Euclid's postulate on creating an arc. **(d)** Euclid's postulate on parallel lines.

## Short Answer Questions

**1.** What did the Pythagorean Theorem accomplish for mathematics?

**2.** What did Dunham consider extraordinary about the Elements?

**3.** What did Euclid do in his 48th proposition?

**4.** Which of the following was one of Gauss' early discoveries?

**5.** Where was Neil's Abel from?

This section contains 301 words(approx. 2 pages at 300 words per page) |