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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

Multiple Choice Questions

1. How did Lindeman prove his conclusion?
(a) Lindeman proved that all numbers are constructable with a compass and ruler.
(b) Lindeman proved that some numbers are constructable without the use of a compass.
(c) Lindeman proved that square roots are irrational numbers.
(d) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.

2. What did Apollonius work with in mathematics?
(a) He develped a way to measure the volume of a sphere.
(b) He worked on advanced algebra.
(c) He discovered the algrebraic equation.
(d) He worked on conics.

3. Where was Archimedes born?
(a) Athens.
(b) Sicily.
(c) Rome.
(d) Olympia.

4. What did Euclid state about pi in Elements?
(a) There is a constant relationship between the area of a circle and the square of its diameter.
(b) The proportion of area to circumference is never equal.
(c) The proportion of diameter to area is never equal.
(d) There is no relationship between the area of a circle and its circumference.

5. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Politician.
(b) Doctor and writer,
(c) Artist and musician.
(d) Inventor and scientist.

Short Answer Questions

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

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

3. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

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

5. Which of Euclid's postulates troubled many of the following generations of mathematicians?

(see the answer key)

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