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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

## Multiple Choice Questions

**1. Which of the following best describes Archimedes as discussed by Dunham?**
**(a)** Mild-mannered researcher. **(b)** Absent-minded genius. **(c)** Loud and arrogant. **(d)** Creative but stubborn.

**2. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the volume to surface area ratios of cubes. **(b)** He studied the relationship of sine to cosine. **(c)** He studied the relationship between ratios in triangles. **(d)** He studied the volume and surface area of spheres, cones, and cylinders.

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

**4. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?**
**(a)** Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr². **(b)** Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference. **(c)** The area of a triangle is one half the base times the height. **(d)** Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.

**5. 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 triangle the sqaured sum of the legs is equal to half the hypotenuse. **(c)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(d)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

## Short Answer Questions

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

**2.** What did the Pythagorean Theorem accomplish for mathematics?

**3.** How did Archimedes demonstrate his theory of pi?

**4.** Who was Eratosthanes?

**5.** Who asked Tartaglia for his solution to cubic equations?

This section contains 506 words(approx. 2 pages at 300 words per page) |