Journey Through Genius: The Great Theorems of Mathematics Quiz | Two Week Quiz A

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. 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 right triangles.
(c) Euclid's postulate on creating an arc.
(d) Euclid's proof on right triangles.

2. In his later life, what position did Isaac Newton hold?
(a) Angelican father.
(b) Warden of the Mint.
(c) Professor of philosophy in Paris.
(d) Principle science advisor to Charles II.

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

4. After working on pi, what did Archimedes continue with in his study of mathematics?
(a) He studied the volume and surface area of spheres, cones, and cylinders.
(b) He studied the relationship between ratios in triangles.
(c) He studied the relationship of sine to cosine.
(d) He studied the volume to surface area ratios of cubes.

5. Where does the center of mathematical thinking shift to after Italy?
(a) To France and Britian.
(b) To Turkey and Russia.
(c) To Britian and Scotland.
(d) To Germany and Russia.

Short Answer Questions

1. In what century did Archimedes live?

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

3. Besides being a mathematician, what else other work was Archimedes famous for?

4. Which of the following was NOT defined by Euclid?

5. What did Dunham consider as Archimedes's "masterpiece"?

(see the answer key)

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