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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. Where was Neil's Abel from?**
**(a)** Finland. **(b)** Ireland. **(c)** Great Britian, **(d)** Norway.

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

**3. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?**
**(a)** The area of a triangle is one half the base times the height. **(b)** Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr². **(c)** Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference. **(d)** Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.

**4. Besides being a mathematician, what else other work was Archimedes famous for?**
**(a)** Artist and musician. **(b)** Doctor and writer, **(c)** Politician. **(d)** Inventor and scientist.

**5. Heron devised which of the following methods?**
**(a)** A way to apply mathematics to public health. **(b)** A way to determine the volume in a sphere. **(c)** A way to solve binomial equations. **(d)** A way to determine the area of a triangle.

## Short Answer Questions

**1.** On who's work did Euler base his number theory?

**2.** What was most noticeable about Euler at a young age?

**3.** In his later life, what position did Isaac Newton hold?

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

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

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