Journey Through Genius: The Great Theorems of Mathematics Quiz | Two Week Quiz A

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Scipione del Ferro.
(b) Luca Pacioli.
(c) Niccolo Fontana.
(d) Gerolamo Cardano.

2. 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.

3. In general, what did Euclid's number theory describe?
(a) The relationship of decimals to integers.
(b) The nature of measuring geometry.
(c) The relationship of fractions to decimals.
(d) The nature of whole numbers.

4. Who asked Tartaglia for his solution to cubic equations?
(a) Pacioli.
(b) Fior,
(c) Fontana.
(d) Cardano.

5. What did Dunham claim about Archimedes's determination of a number value for pi?
(a) Archimedes's number was very good, considering he did not have a way to calculate square roots.
(b) Archimedes's number was perfectly correct.
(c) Archimedes's number could have been better if he had understood Euclid's work better,
(d) Archimedes's number was not very accurate, considering the technology of his time.

Short Answer Questions

1. Where did Newton go to school before he went to Cambridge?

2. Which of the following is false about the modern implications of Euclid's number theory?

3. Which of the following is true in modern math about twin primes?

4. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

5. How did Archimedes demonstrate his theory of pi?

(see the answer key)

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