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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 do we know about Hippocrates proofs and theorems?
(a) Mathematicians rewrote all of his proofs after his death,
(b) His books and publications.
(c) What is known from archived documents of his time.
(d) What we know is from references of later mathematicians.

2. Which of the following is false about the modern implications of Euclid's number theory?
(a) Euclid gave a good idea for how to construct even perfect numbers.
(b) Whether there are no odd perfect numbers is still not known.
(c) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(d) Euclid's recipe for constructing even perfect numbers is incorrect.

3. What instruments did the Greeks use to square a shape?
(a) A small grid.
(b) A compass and a ruled straight-edge.
(c) A sphere and ruler.
(d) A pendulum.

4. What did Gauss set out to prove?
(a) That a right angle is always equal to 90 degrees.
(b) That the sum of the angles in a triangle is 180 degrees.
(c) That Euclid's postulate on straight lines was incorrect.
(d) That a circle can have less than 360 degrees.

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

Short Answer Questions

1. How did Archimedes demonstrate his theory of pi?

2. Who was Heron?

3. What was Hippocrates's great advance to mathematics?

4. Which words best describe how solid proofs were developed in Elements?

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

(see the answer key)

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