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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.
Multiple Choice Questions
1. Which is a geometric concept that humans have been aware of since the dawn of agriculture?
(a) Gravity.
(b) Area.
(c) Metric system.
(d) Volume.
2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Triangles.
(b) Manifolds.
(c) Spheres and cones.
(d) Regular polyhedrons.
3. Who was the author of the book Elements?
(a) Einstein.
(b) Euclid.
(c) Hippocrates.
(d) Lindemann.
4. In general, what did Euclid's number theory describe?
(a) The relationship of fractions to decimals.
(b) The nature of whole numbers.
(c) The relationship of decimals to integers.
(d) The nature of measuring geometry.
5. Which of the following was an important proposition given by Euclid's number theory?
(a) Any even number is divisible by 3.
(b) Numbers from one to ten are only divisible by composite numbers.
(c) Any composite number is divisible by some prime number.
(d) Any perfect number is divisible by some composite number.
Short Answer Questions
1. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
2. As described by Archimedes, what is always true about he diameter of the circle?
3. What were the proofs in Elements based on?
4. Where did Hippocrates come from?
5. Which of the following is true in modern math about twin primes?
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