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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. Which is one of the common notions presented in Elements?
(a) "Things with are equal have an inverse that is equal."
(b) "The inverse of a line makes a circle."
(c) "Things which are equal to the same thing are also equal to each other."
(d) "Points with equal values can be connected with a line of equal value."

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

3. What was Euclid's definition of a prime number?
(a) Numbers which contain an infinite number of composite numbers.
(b) Numbers which are divisible by 2.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which can only be divided by themselves and 1.

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

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hexagon.
(b) Triangle.
(c) Hyperbola.
(d) Pentagon.

Short Answer Questions

1. Which of the following becomes an important definition in mathematics that was first presented in Elements?

2. Who was the author of the book Elements?

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

4. What is true about prime numbers?

5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

(see the answer key)

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