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

2. What did Hippocrates do that advanced mathematical methods?
(a) He created a new ways to disprove theories.
(b) He proved that mathematics can be applied in a unlogical order.
(c) He built theorems based on sequencially more complex proofs.
(d) He demonstrated that geometry does not have to be based on previous knowledge.

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

4. Which of the following is true in modern math about twin primes?
(a) They are infinite.
(b) They are not considered whole numbers.
(c) We don't know if they are finite or infinite.
(d) Their sum is always another prime number.

5. What did Ferdinand Lindeman prove in 1882?
(a) That the square of a circle can not be found with a compass and a straight-edge.
(b) It is possible to find the square of a circle.
(c) That the square root of the hypotenuse of a right triangle can not be found.
(d) It is impossible to find the square of a semicircle.

Short Answer Questions

1. Which of the following were an example of twin primes?

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

3. What were the proofs in Elements based on?

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

5. What was Euclid's definition of a prime number?

(see the answer key)

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