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

Multiple Choice Questions

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

2. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?
(a) Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr².
(b) The area of a triangle is one half the base times the height.
(c) Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference.
(d) Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.

3. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in creating simple elevation maps,
(b) It was useful in finding the area of circles.
(c) It was useful in finding the area of oddly shaped pieces of land.
(d) It was useful in determining the distance between two points.

4. Who challenged Tartaglia to a contest to solve cubic equations?
(a) Fior.
(b) Cardano.
(c) Pacioli.
(d) del Ferro.

5. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a circle.
(b) He showed how to square a figure with curved sides.
(c) He showed how to find the angles in a right triangle.
(d) He showed how to simplify the area of a triangle.

6. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Even numbers.
(b) Discrete numbers.
(c) Perfect numbers.
(d) Composite numbers.

7. Which of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Whole numbers.
(c) Even numbers.
(d) Nominal numbers.

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

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

10. What else, besides a solution to cubic equations, was in Cardano's book?
(a) A solution to quartic equations.
(b) A suggested method to depress all complex geometry.
(c) A proof of the Pythagorean Theorem.
(d) An alegrabic solution to quintic equations,

11. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Parallel line.
(c) Circle.
(d) 180 degree angle.

12. What did Gauss set out to prove?
(a) That a right angle is always equal to 90 degrees.
(b) That Euclid's postulate on straight lines was incorrect.
(c) That a circle can have less than 360 degrees.
(d) That the sum of the angles in a triangle is 180 degrees.

13. Who was Heron?
(a) A politician from Rome.
(b) A philosopher from Greece.
(c) A matematician from Alexanderia.
(d) A physician from the far East.

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

15. Why did Cardano take an oath to secrecy?
(a) It was the only way to get his book published.
(b) It was the only way to get Tartaglia's solution to cubic equations.
(c) It was to the only way to win the contest with Fior,
(d) It was the only way he could become a priest,

Short Answer Questions

1. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

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

3. What instruments did the Greeks use to square a shape?

4. When was the work of these early thinkers rediscovered again in history?

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

(see the answer keys)

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