Journey Through Genius: The Great Theorems of Mathematics Test | Mid-Book Test - Easy

William Dunham (mathematician)
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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?

(see the answer keys)

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