*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

## Multiple Choice Questions

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

**2. In his later life, what position did Isaac Newton hold?**
**(a)** Angelican father. **(b)** Warden of the Mint. **(c)** Professor of philosophy in Paris. **(d)** Principle science advisor to Charles II.

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

**4. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the volume and surface area of spheres, cones, and cylinders. **(b)** He studied the relationship between ratios in triangles. **(c)** He studied the relationship of sine to cosine. **(d)** He studied the volume to surface area ratios of cubes.

**5. Where does the center of mathematical thinking shift to after Italy?**
**(a)** To France and Britian. **(b)** To Turkey and Russia. **(c)** To Britian and Scotland. **(d)** To Germany and Russia.

## Short Answer Questions

**1.** In what century did Archimedes live?

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

**3.** Besides being a mathematician, what else other work was Archimedes famous for?

**4.** Which of the following was NOT defined by Euclid?

**5.** What did Dunham consider as Archimedes's "masterpiece"?

This section contains 355 words(approx. 2 pages at 300 words per page) |