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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 range of values did Archimedes determine for pi?
(a) Between 3 and 4.
(b) Between 3 1/2 and 3 5/8.
(c) Between 3 and 3 1/2.
(d) Between 3 10/11 and 3 1/7.

2. Which of the following was NOT true about Archimedes, according to Dunham?
(a) Archimedes died because he refused to follow orders until he completed a math problem.
(b) His death was described as being by the hands of a Roman invader.
(c) He died during the fall of Syracuse.
(d) He died as a soldier.

3. Who was the author of the book Elements?
(a) Hippocrates.
(b) Lindemann.
(c) Einstein.
(d) Euclid.

4. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Regular polyhedrons.
(b) Triangles.
(c) Spheres and cones.
(d) Manifolds.

5. Which of the following is true in modern math about twin primes?
(a) We don't know if they are finite or infinite.
(b) They are not considered whole numbers.
(c) Their sum is always another prime number.
(d) They are infinite.

Short Answer Questions

1. What does the Pythagorean Theorem state?

2. What was true about Hippocrates's proof?

3. As described by Archimedes, what is always true about he diameter of the circle?

4. How many sides did the pentadecagon have, as presented by Euclid?

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

(see the answer key)

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