View a FREE sample

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

Multiple Choice Questions

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

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

3. 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."

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Niccolo Fontana.
(b) Scipione del Ferro.
(c) Gerolamo Cardano.
(d) Luca Pacioli.

5. Which of the following is an example of a perfect number?
(a) 10.
(b) 1.
(c) 20.
(d) 6.

6. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
(a) del Ferro's method.
(b) Cardano's method.
(c) Fontana's method.
(d) Pacioli's method.

7. Where was Neil's Abel from?
(a) Great Britian,
(b) Ireland.
(c) Norway.
(d) Finland.

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

9. What did Archimedes manage to prove using Euclid's ideas?
(a) That the square of a diameter is equal to pi.
(b) That the value of pi is proportional to the area of the circle.
(c) That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.
(d) That the relationship of area to circumference is really the same as the relationship of radius to diameter.

10. Who was Eratosthanes?
(a) He was a teacher and philosopher.
(b) He was the first to study political sciences.
(c) He was a mathematician, and leading doctor.
(d) He was the chief librarian, and a mathematician.

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

12. What instruments did the Greeks use to square a shape?
(a) A compass and a ruled straight-edge.
(b) A pendulum.
(c) A small grid.
(d) A sphere and ruler.

13. Which city was the center of thinking and learning in Third century BC?
(a) Alexandria.
(b) Olympia.
(c) Athens.
(d) Rome.

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

15. What provided most of the content in the book Elements?
(a) Postulates.
(b) Hypotheses.
(c) Notions.
(d) Propositions.

Short Answer Questions

1. Which of the following could NOT be included as a step in Euclid's great theorem?

2. Which of the following was NOT one of the basic definitions in Elements?

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

4. According to Dunham, who was most able to collect knowledge from around the globe?

5. Which of the following is false about the modern implications of Euclid's number theory?

(see the answer keys)

This section contains 647 words (approx. 3 pages at 300 words per page) View a FREE sample