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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

Multiple Choice Questions

1. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Parallelogram.
(b) Pentagon.
(c) Hemisphere.
(d) Circle.

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

3. What was Hippocrates famous for?
(a) His ability to construct circles without a compass.
(b) His theorem on the quadrature of the lune.
(c) His proof defining gravity.
(d) His proof on right triangles.

4. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(b) The measurement of pi was redetermined after Archimedes's death.
(c) The measurement of pi is a challenge that continues into modern mathematics.
(d) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.

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

Short Answer Questions

1. What did the Pythagorean Theorem accomplish for mathematics?

2. Which of the following best describes Archimedes as discussed by Dunham?

3. Where was the modern number system developed?

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

5. Heron devised which of the following methods?

(see the answer key)

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