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This test consists of 15 multiple choice questions and 5 short answer questions.
Multiple Choice Questions
1. Which of the following is an example of a perfect number?
(a) 1.
(b) 10.
(c) 6.
(d) 20.
2. Why did Cardano take an oath to secrecy?
(a) It was the only way he could become a priest,
(b) It was the only way to get his book published.
(c) It was the only way to get Tartaglia's solution to cubic equations.
(d) It was to the only way to win the contest with Fior,
3. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Pentagon.
(b) Hexagon.
(c) Triangle.
(d) Hyperbola.
4. What did Gauss set out to prove?
(a) That Euclid's postulate on straight lines was incorrect.
(b) That a circle can have less than 360 degrees.
(c) That a right angle is always equal to 90 degrees.
(d) That the sum of the angles in a triangle is 180 degrees.
5. Where was Neil's Abel from?
(a) Great Britian,
(b) Ireland.
(c) Norway.
(d) Finland.
6. What does the Pythagorean Theorem state?
(a) For any right triangle the diagonal side is equal to the sum of the legs.
(b) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(c) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(d) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
7. Which of the following can not be solved using algebra?
(a) Quintic equation.
(b) Quadratic equation.
(c) Triangulation.
(d) Geometric equation.
8. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Artist and musician.
(b) Politician.
(c) Doctor and writer,
(d) Inventor and scientist.
9. Which of the following best describes Archimedes as discussed by Dunham?
(a) Mild-mannered researcher.
(b) Creative but stubborn.
(c) Absent-minded genius.
(d) Loud and arrogant.
10. Which of the following was NOT defined by Euclid?
(a) Whole numbers.
(b) Odd numbers.
(c) Nominal numbers.
(d) Even numbers.
11. What did Dunham claim about Archimedes's determination of a number value for pi?
(a) Archimedes's number was not very accurate, considering the technology of his time.
(b) Archimedes's number was very good, considering he did not have a way to calculate square roots.
(c) Archimedes's number was perfectly correct.
(d) Archimedes's number could have been better if he had understood Euclid's work better,
12. What did Euclid do in his 48th proposition?
(a) Euclid proved the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid proved the converse of the Pythagorean Theorem.
13. What was known about pi, during Archimedes' time?
(a) Nothing, the concept of pi was unknown.
(b) That is was the relationship between the diameter and circumference of a circle.
(c) That it was never the same number value for a given circle.
(d) That it could not be assigned a relationship between measurements in a circle.
14. What did Archimedes manage to prove using Euclid's ideas?
(a) That the relationship of area to circumference is really the same as the relationship of radius to diameter.
(b) That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.
(c) That the value of pi is proportional to the area of the circle.
(d) That the square of a diameter is equal to pi.
15. In general, what did Euclid's number theory describe?
(a) The relationship of decimals to integers.
(b) The nature of whole numbers.
(c) The relationship of fractions to decimals.
(d) The nature of measuring geometry.
Short Answer Questions
1. What did Hippocrates do that advanced mathematical methods?
2. Which of the following becomes an important definition in mathematics that was first presented in Elements?
3. What was Hippocrates famous for?
4. What did Apollonius work with in mathematics?
5. What were the proofs in Elements based on?
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This section contains 689 words (approx. 3 pages at 300 words per page) |
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