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

Multiple Choice Questions

1. What provided most of the content in the book Elements?
(a) Postulates.
(b) Propositions.
(c) Notions.
(d) Hypotheses.

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

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

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

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

Short Answer Questions

1. According to Euclid, when is a triangle a right triangle?

2. After working on pi, what did Archimedes continue with in his study of mathematics?

3. That properties of specific shapes were early Egyptians aware of?

4. Where did Hippocrates come from?

5. What did Euclid do in his 48th proposition?

(see the answer key)

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