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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

Multiple Choice Questions

1. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) If a new number is found to be composite, then it must have some prime as a divisor.
(b) After summation, the new number can be prime or composite.
(c) Take a finite group of primes and add them together, plus one.
(d) Divide a infinite group of primes by the sum of their composites.

2. Where was Neil's Abel from?
(a) Norway.
(b) Finland.
(c) Great Britian,
(d) Ireland.

3. What series was Euler most famous for?
(a) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(b) 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .
(c) 1 + 1/2 + 3/4 + 4/5 . . .
(d) 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .

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

5. Who was del Ferro's student?
(a) Gerolamo Cardano.
(b) Antonio Fior.
(c) Luca Pacioli.
(d) Niccolo Fontana.

Short Answer Questions

1. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

2. Who challenged Tartaglia to a contest to solve cubic equations?

3. Where was Euler born?

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

5. Why did Cardano take an oath to secrecy?

(see the answer key)

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