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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. To how many decimal places did Newton determine the number for pi?
(a) Eight places.
(b) Twelve places.
(c) Nine places.
(d) Three places.

2. Who was Euler's teacher?
(a) Gottfried Leibniz.
(b) Johann Bernoulli.
(c) Isaac Newton.
(d) Jakob Bernoulli.

3. 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) That under Euclid's definition parallel lines can intersect.
(c) "Non-euclidean" geometry.
(d) That angles in a triangles can not add up to more than 180 degrees.

4. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Discrete numbers.
(b) Even numbers.
(c) Composite numbers.
(d) Perfect numbers.

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

Short Answer Questions

1. Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?

2. Where was the modern number system developed?

3. Which of the following was a major part of Gauss' work in mathematics?

4. What were the proofs in Elements based on?

5. Which of the following can not be solved using algebra?

(see the answer key)

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