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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 were the proofs in Elements based on?
(a) Lindeman's method.
(b) Ancient greek geometry.
(c) Novel notions.
(d) Basic definitions.

2. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Nominal number.
(b) Composite number.
(c) Even number.
(d) Perfect number.

3. What was true when Euler used n = 5 in the statement 2²ⁿ + 1?
(a) The statement was not a prime number.
(b) The statement was a prime number.
(c) The statement was a perfect number.
(d) The statement was a composite number.

4. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Parallel line.
(c) 180 degree angle.
(d) Circle.

5. Where did Euler study at the age of 20?
(a) Oxford.
(b) Cambrigde.
(c) The Academy in St. Petersburg.
(d) University of Moscow.

Short Answer Questions

1. Heron devised which of the following methods?

2. Which of the following is true in modern math about twin primes?

3. Which of the following was true about Cardano, according to Dunham?

4. Which of the following was one of Gauss' early discoveries?

5. What was known about pi, during Archimedes' time?

(see the answer key)

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