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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Which mathematician was first to take the challenge to solve cubic equations?
(a) Niccolo Fontana.
(b) Scipione del Ferro.
(c) Luca Pacioli.
(d) Tartaglia.

2. What did Euclid do in his 48th proposition?
(a) Euclid proved the Pythagorean Theorem.
(b) Euclid proved the converse of the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid demonstrated how to use the Pythagorean Theorem.

3. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hexagon.
(b) Triangle.
(c) Pentagon.
(d) Hyperbola.

4. Which was true of Euclid's number theory?
(a) It has an impact on modern math.
(b) It has been proven too basic to be useful.
(c) It was incorrect, as proved by Plato.
(d) It was proven to the true by Hippocrates.

5. Who challenged Tartaglia to a contest to solve cubic equations?
(a) Fior.
(b) Pacioli.
(c) del Ferro.
(d) Cardano.

Short Answer Questions

1. Heron's work referred to the work of what other famous scholar?

2. Which of the following could NOT be included as a step in Euclid's great theorem?

3. Which of the following is true in modern math about twin primes?

4. What is true about prime numbers?

5. What did Heron's advances put into historical perspective for Dunham?

Short Essay Questions

1. Describe what Gauss discovered according to Dunham.

2. What was Euclid's definition of composite and perfect numbers?

3. Describe the ancient city Alexandria and name a few of its third century geniuses.

4. What did Euclid state for his theory on prime numbers?

5. What did Dunham claim was Pythagoras's major contribution to geometry, and mathematical reasoning?

6. Describe in two sentences Archimedes's method for determining circular area.

7. What did Dunham explain about the shift in learning from the West to the East?

8. Describe why Dunham infers that Euclid's Elements was an evolutionary book not so much for what it said, but in how it was presented.

9. Explain what Neils Abel proved.

10. Who was Luca Pacioli, and what controversy was sparked over his writings?

(see the answer keys)

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