View a FREE sample

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

Multiple Choice Questions

1. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of circles.
(b) It was useful in determining the distance between two points.
(c) It was useful in finding the area of oddly shaped pieces of land.
(d) It was useful in creating simple elevation maps,

2. How did Archimedes arrive at a number value for pi?
(a) By proving pi could not be equal to one.
(b) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.
(c) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(d) By proving that pi could not be a negative number.

3. What was true about Hippocrates's proof?
(a) The proof was exceedingly difficult and not understood at the time.
(b) The proof was easy if their was advanced technology available.
(c) It was fairly easy and simple.
(d) It was useful for circles.

4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Triangle.
(b) Hyperbola.
(c) Pentagon.
(d) Hexagon.

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

Short Answer Questions

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

2. Which of the following best describes Archimedes as discussed by Dunham?

3. What did Plato use his inspiration from Euclid for?

4. Which of the following was an important proposition given by Euclid's number theory?

5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

(see the answer key)

This section contains 408 words (approx. 2 pages at 300 words per page) View a FREE sample