Journey Through Genius: The Great Theorems of Mathematics Quiz | Four Week Quiz B

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. What did Gauss construct?
(a) A system where the angles of a triangle add up to fewer than 180 degrees.
(b) A proof that demonstrates Newtonian physics.
(c) A proof that demonstrated the circumference of Earth.
(d) A system where the angles of a triangle add up to more than 180 degrees.

2. How did Euler prove if the number 4,294,967,297 was prime or composite?
(a) He factored it.
(b) He divided it by 2.
(c) He used his own rule of squares.
(d) He used Newton's calulus methods.

3. What was the bases of Hippocrates's proof ?
(a) Properties of squares and cubes.
(b) Properties of triangles and semicircles.
(c) Properties of points and lines.
(d) Properties of area to volume measurements.

4. Who encourages Newton during his studies at Cambridge?
(a) Henry Briggs.
(b) John Napier.
(c) Henry Stokes.
(d) Isaac Barrow.

5. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) Divide a infinite group of primes by the sum of their composites.
(b) Take a finite group of primes and add them together, plus one.
(c) If a new number is found to be composite, then it must have some prime as a divisor.
(d) After summation, the new number can be prime or composite.

Short Answer Questions

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

2. Who was Heron?

3. Who challenged Tartaglia to a contest to solve cubic equations?

4. What was true when Euler used n = 5 in the statement 2²ⁿ + 1?

5. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

(see the answer key)

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