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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. How did Gauss feel about his best work?
(a) He was confident that it would change mathematics.
(b) He was unceratin if it would be accepted by his collegues.
(c) He was uncertain if it was useful.
(d) He was confident that his students would find it of great importance.

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

3. In what time period did mathematicians find a solution to cubic equations?
(a) Seventeeth century.
(b) Twentieth century.
(c) Thirteenth century.
(d) Fifteen century.

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

5. Which of the following was NOT one of Gauss' discoveries?
(a) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(b) "Non-euclidean" geometry.
(c) That under Euclid's definition parallel lines can intersect.
(d) That angles in a triangles can not add up to more than 180 degrees.

Short Answer Questions

1. Which name does NOT belong?

2. Where did Hippocrates come from?

3. Where did Euler study at the age of 20?

4. What is one proof that Euler was able to prove?

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

(see the answer key)

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