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

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

2. What range of values did Archimedes determine for pi?
(a) Between 3 10/11 and 3 1/7.
(b) Between 3 1/2 and 3 5/8.
(c) Between 3 and 3 1/2.
(d) Between 3 and 4.

3. Which of the following was one of Euclid's great theorems?
(a) There exists only infinite and whole numbers.
(b) There exists an finite number of prime numbers.
(c) There exists an infinite number of prime numbers.
(d) Prime numbers are more comples than discrete numbers.

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

5. According to Euclid, when is a triangle a right triangle?
(a) When a triangle does not have a side which can be considered a hypotenuse.
(b) When a triangle can be constructed with three unequal sides.
(c) When a triangle has three sides whose squares are equal to the area of the triangle.
(d) When a triangle has a side whose square is the sum of the squares of the two legs.

Short Answer Questions

1. After Hippocrates, what shape did the Greeks attempt to square without success?

2. What provided most of the content in the book Elements?

3. Where did Hippocrates come from?

4. Who was the first of ancient philosophers to consider why geometric properties existed?

5. Which is one of the common notions presented in Elements?

(see the answer key)

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