Journey Through Genius: The Great Theorems of Mathematics Quiz | Four Week Quiz A

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
Name: _________________________ Period: ___________________

This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is never equal to the area of the triangle.
(b) He demonstrated that the area of the circle is always greater than the area of the triangle.
(c) He demonstrated that the area of the circle is never less than the area of the triangle.
(d) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.

2. Which of the following was NOT one of Gauss' discoveries?
(a) That under Euclid's definition parallel lines can intersect.
(b) That angles in a triangles can not add up to more than 180 degrees.
(c) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(d) "Non-euclidean" geometry.

3. What was Euclid's definition of a prime number?
(a) Numbers which do not, and can not, contain a perfect number.
(b) Numbers which can only be divided by themselves and 1.
(c) Numbers which are divisible by 2.
(d) Numbers which contain an infinite number of composite numbers.

4. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a figure with curved sides.
(b) He showed how to find the angles in a right triangle.
(c) He showed how to square a circle.
(d) He showed how to simplify the area of a triangle.

5. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.

Short Answer Questions

1. What was most useful about finding the square of a shape, before Hippocrates?

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

3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

4. In general, what did Euclid's number theory describe?

5. How did Archimedes arrive at a number value for pi?

(see the answer key)

This section contains 572 words
(approx. 2 pages at 300 words per page)
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
Copyrights
BookRags
Journey Through Genius: The Great Theorems of Mathematics from BookRags. (c)2017 BookRags, Inc. All rights reserved.
Follow Us on Facebook