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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. Which of the following demonstrates the successive squared denominator series?**
**(a)** 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . . **(b)** 1 + 1/2 + 3/4 + 4/5 . . . **(c)** 1 + 1/4 + 1/9 + 1/16 . . . **(d)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .

**2. Where did Newton go to school before he went to Cambridge?**
**(a)** Cambridge Prep. **(b)** Oxford Grammar School. **(c)** The King's School. **(d)** Charles II Grammar School.

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

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

**5. In what area was Gauss especially interested?**
**(a)** The elements of number theory. **(b)** The circumference of Earth. **(c)** The proof of the infinite series. **(d)** The elements of geometry.

## Short Answer Questions

**1.** Heron devised which of the following methods?

**2.** In the Bernoulli's time, what was the current definition of a series?

**3.** Where was Archimedes born?

**4.** Who were Johann and Jakob Bernoulli?

**5.** How did Archimedes demonstrate his theory of pi?

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