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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. Where did Hippocrates come from?
(a) Athens.
(b) Rome.
(c) Chios.
(d) Constinople.

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

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

4. What did Gauss construct?
(a) A proof that demonstrates Newtonian physics.
(b) A proof that demonstrated the circumference of Earth.
(c) A system where the angles of a triangle add up to fewer than 180 degrees.
(d) A system where the angles of a triangle add up to more than 180 degrees.

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

Short Answer Questions

1. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

2. What did Dunham claim about Archimedes's determination of a number value for pi?

3. In what century did Archimedes live?

4. Besides being a mathematician, what else other work was Archimedes famous for?

5. What did Ferdinand Lindeman prove in 1882?

(see the answer key)

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