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This test consists of 5 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

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

**2. What did Cantor find after extending the continuum between 0 and 1 into two dimensions?**
**(a)** That the set is equal to 1. **(b)** That the series is infinite. **(c)** That the set is still equal to c. **(d)** That the set is infinite.

**3. What did Gauss do with his best work?**
**(a)** He gave it to his students. **(b)** He did not publish it. **(c)** He gave it to his son to publish. **(d)** He published it.

**4. Which of the following did Dunham concentrate on as one of Newton's great advances?**
**(a)** Quintic theorem. **(b)** Quadratic equation. **(c)** Binomial theorem. **(d)** Area of a sphere.

**5. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?**
**(a)** It's a divergent series with a sum of 2. **(b)** It's a divergent series squared numbers. **(c)** It's a convergent series of cubic numbers. **(d)** It's a convergent series of triangular numbers.

## Short Answer Questions

**1.** What did George Cantor discover?

**2.** What was Dunham central theorem for this chapter?

**3.** What was most noticeable about Euler at a young age?

**4.** What didn't Euler attempt?

**5.** What did Cantor define as the continuum?

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