*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

**1. Where was the modern number system developed?**
**(a)** In the East. **(b)** In the West. **(c)** In ancient Rome. **(d)** In ancient Alexanderia.

**2. Which of the following were an example of twin primes?**
**(a)** 19 and 22. **(b)** 11 and 13. **(c)** 2 and 6. **(d)** 15 and 16.

**3. What did Heron's advances put into historical perspective for Dunham?**
**(a)** A change in political theory across the globe. **(b)** A shift in information flow that ignored socioeconomic order. **(c)** A shift in learning across continents. **(d)** A change in learning foundations in the ancient scholarly universities.

**4. What did Plato use his inspiration from Euclid for?**
**(a)** To prove Euclid's number theory was incorrect. **(b)** To construct his theory on the shape of the Universe. **(c)** To classify geometric shapes by their complexity. **(d)** To create a new theorem of algebra.

**5. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**
**(a)** Metric system. **(b)** Volume. **(c)** Area. **(d)** Gravity.

**6. Which mathematician was first to take the challenge to solve cubic equations?**
**(a)** Tartaglia. **(b)** Niccolo Fontana. **(c)** Luca Pacioli. **(d)** Scipione del Ferro.

**7. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of the Pythagorean Theorem. **(b)** The limit of the decompressed cubic method. **(c)** The limit of logical geometric proofs. **(d)** The limit of algebra.

**8. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hexagon. **(b)** Pentagon. **(c)** Triangle. **(d)** Hyperbola.

**9. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Regular polyhedrons. **(b)** Triangles. **(c)** Manifolds. **(d)** Spheres and cones.

**10. Heron's work referred to the work of what other famous scholar?**
**(a)** Archimedes. **(b)** Euclid. **(c)** Hippocrates. **(d)** Thales.

**11. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to find the area of a triangle when only the length of the sides are known. **(b)** It was to solve equations were only two varibles are known. **(c)** It was to determine the area of a circle by measuring a right triangle inside the circle. **(d)** It was to determine the volume of a sphere without measuring the circumference.

**12. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Seventeeth century. **(b)** Thirteenth century. **(c)** Twentieth century. **(d)** Fifteen century.

**13. When was the work of these early thinkers rediscovered again in history?**
**(a)** In the Renaissance. **(b)** In the 18th century. **(c)** In the 20th century. **(d)** In the Elizabethian age.

**14. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Straight Line. **(b)** Right angles. **(c)** Parabola. **(d)** Line.

**15. Which of the following best describes Cardano's character?**
**(a)** Flirtacious. **(b)** Eccentric. **(c)** Religious. **(d)** Arrogant.

## Short Answer Questions

**1.** What did Euclid state about pi in Elements?

**2.** What was Eratosthanes most famous for?

**3.** What did Dunham consider extraordinary about the Elements?

**4.** What does the Pythagorean Theorem state?

**5.** What range of values did Archimedes determine for pi?

This section contains 619 words(approx. 3 pages at 300 words per page) |