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Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. What was Hippocrates famous for?**
**(a)** His ability to construct circles without a compass. **(b)** His proof defining gravity. **(c)** His proof on right triangles. **(d)** His theorem on the quadrature of the lune.

**2. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on parallel lines. **(b)** Euclid's postulate on creating an arc. **(c)** Euclid's postulate on right triangles. **(d)** Euclid's proof on right triangles.

**3. In what century did Archimedes live?**
**(a)** Nineteeth century A.D. **(b)** First century A.D, **(c)** Twelthf century A.D. **(d)** Third century B.C.

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

**5. What did Apollonius work with in mathematics?**
**(a)** He worked on conics. **(b)** He develped a way to measure the volume of a sphere. **(c)** He worked on advanced algebra. **(d)** He discovered the algrebraic equation.

**6. What is true about prime numbers?**
**(a)** That for every group of prime numbers, there exists at least one more prime. **(b)** Prime numbers are not divisible by other numbers. **(c)** Prime numbers can never be an odd number. **(d)** Prime numbers can not exist in a finite series.

**7. What range of values did Archimedes determine for pi?**
**(a)** Between 3 1/2 and 3 5/8. **(b)** Between 3 and 4. **(c)** Between 3 and 3 1/2. **(d)** Between 3 10/11 and 3 1/7.

**8. Who acted as the gate keepers of knowledge?**
**(a)** Greek philosophers. **(b)** Roman emporers. **(c)** Arabian scholars. **(d)** Greek tradesman.

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

**10. Which of the following was one of Euclid's great theorems?**
**(a)** There exists only infinite and whole numbers. **(b)** Prime numbers are more comples than discrete numbers. **(c)** There exists an finite number of prime numbers. **(d)** There exists an infinite number of prime numbers.

**11. Which of the following was NOT one of Gauss' discoveries?**
**(a)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees. **(b)** That angles in a triangles can not add up to more than 180 degrees. **(c)** "Non-euclidean" geometry. **(d)** That under Euclid's definition parallel lines can intersect.

**12. How did Archimedes demonstrate his theory of pi?**
**(a)** He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it. **(b)** He demonstrated that the area of the circle is always greater than the area of the triangle. **(c)** He demonstrated that the area of the circle is never equal to the area of the triangle. **(d)** He demonstrated that the area of the circle is never less than the area of the triangle.

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

**14. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "Things which are equal to the same thing are also equal to each other." **(c)** "Points with equal values can be connected with a line of equal value." **(d)** "The inverse of a line makes a circle."

**15. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Fior, **(b)** Fontana. **(c)** Pacioli. **(d)** Cardano.

## Short Answer Questions

**1.** Who was the author of the book Elements?

**2.** Who was Neil's Abel?

**3.** Where did Hippocrates come from?

**4.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**5.** Which of the following is an example of a perfect number?

This section contains 604 words(approx. 3 pages at 300 words per page) |