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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. What did Hippocrates do that advanced mathematical methods?
(a) He built theorems based on sequencially more complex proofs.
(b) He demonstrated that geometry does not have to be based on previous knowledge.
(c) He created a new ways to disprove theories.
(d) He proved that mathematics can be applied in a unlogical order.

2. Which of the following was an important proposition given by Euclid's number theory?
(a) Any perfect number is divisible by some composite number.
(b) Numbers from one to ten are only divisible by composite numbers.
(c) Any even number is divisible by 3.
(d) Any composite number is divisible by some prime number.

3. What is true about prime numbers?
(a) Prime numbers are not divisible by other numbers.
(b) Prime numbers can never be an odd number.
(c) Prime numbers can not exist in a finite series.
(d) That for every group of prime numbers, there exists at least one more prime.

4. That properties of specific shapes were early Egyptians aware of?
(a) Irregular solids.
(b) Right triangles.
(c) Parallelograms.
(d) Pi and the diameter of a circle.

5. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) 180 degree angle.
(b) Parallel lines.
(c) Circle.
(d) Intersection.

Short Answer Questions

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

2. Who was the author of the book Elements?

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

4. Which is one of the common notions presented in Elements?

5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

(see the answer key)

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