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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. What did Dunham consider as Archimedes's "masterpiece"?
(a) Archimedes' work on volume to surface area ratios.
(b) Archimedes' work on determining a number value for pi.
(c) Archimedes' work on shperes, cones, and cylinders.
(d) Archimedes' work on determining angular measurements.

2. Where was Archimedes born?
(a) Olympia.
(b) Rome.
(c) Sicily.
(d) Athens.

3. Which of the following best describes Cardano's character?
(a) Religious.
(b) Flirtacious.
(c) Arrogant.
(d) Eccentric.

4. In general, what did Euclid's number theory describe?
(a) The nature of measuring geometry.
(b) The relationship of decimals to integers.
(c) The nature of whole numbers.
(d) The relationship of fractions to decimals.

5. Which of the following is false about the modern implications of Euclid's number theory?
(a) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(b) Whether there are no odd perfect numbers is still not known.
(c) Euclid's recipe for constructing even perfect numbers is incorrect.
(d) Euclid gave a good idea for how to construct even perfect numbers.

Short Answer Questions

1. After working on pi, what did Archimedes continue with in his study of mathematics?

2. What else, besides a solution to cubic equations, was in Cardano's book?

3. Which of the following is true about pi, as described by Dunham.

4. Which of the following was NOT true about Archimedes, according to Dunham?

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

(see the answer key)

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