View a FREE sample

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

Multiple Choice Questions

1. In what century did Archimedes live?
(a) Third century B.C.
(b) Twelthf century A.D.
(c) First century A.D,
(d) Nineteeth century A.D.

2. As described by Archimedes, what is always true about he diameter of the circle?
(a) It's always proportional to its circumference.
(b) It's equal to the square of the radius.
(c) It's equal to pi.
(d) It's never proportional to its circumference.

3. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Parallel line.
(b) Circle.
(c) 180 degree angle.
(d) Intersection.

4. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is never less than the area of the triangle.
(b) 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.
(c) He demonstrated that the area of the circle is never equal to the area of the triangle.
(d) He demonstrated that the area of the circle is always greater than the area of the triangle.

5. How many sides did the pentadecagon have, as presented by Euclid?
(a) Twenty.
(b) Fifteen.
(c) Ten.
(d) Five.

Short Answer Questions

1. What did Newton's calculus involve?

2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

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

4. Which of the following was NOT one of the basic definitions in Elements?

5. What did Euclid state about pi in Elements?

(see the answer key)

This section contains 329 words (approx. 2 pages at 300 words per page) View a FREE sample