*BookRags*. (c)2016 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

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

**2. How did Euler prove if the number 4,294,967,297 was prime or composite?**
**(a)** He factored it. **(b)** He divided it by 2. **(c)** He used his own rule of squares. **(d)** He used Newton's calulus methods.

**3. What was the bases of Hippocrates's proof ?**
**(a)** Properties of squares and cubes. **(b)** Properties of triangles and semicircles. **(c)** Properties of points and lines. **(d)** Properties of area to volume measurements.

**4. Who encourages Newton during his studies at Cambridge?**
**(a)** Henry Briggs. **(b)** John Napier. **(c)** Henry Stokes. **(d)** Isaac Barrow.

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

## Short Answer Questions

**1.** What was most useful about finding the square of a shape, before Hippocrates?

**2.** Who was Heron?

**3.** Who challenged Tartaglia to a contest to solve cubic equations?

**4.** What was true when Euler used n = 5 in the statement 2²ⁿ + 1?

**5.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

This section contains 332 words(approx. 2 pages at 300 words per page) |