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Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

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

**2. What provided most of the content in the book Elements?**
**(a)** Notions. **(b)** Postulates. **(c)** Hypotheses. **(d)** Propositions.

**3. Heron's work referred to the work of what other famous scholar?**
**(a)** Archimedes. **(b)** Hippocrates. **(c)** Euclid. **(d)** Thales.

**4. What allowed Cardano to justify publishing his book?**
**(a)** He found Fior's documents which spoke against Tartaglia. **(b)** He found del Ferro's orgininal solution to the cubic. **(c)** He was dead, and the book was really published by his student. **(d)** He was punished as a heretic,

**5. Which of the following were an example of twin primes?**
**(a)** 11 and 13. **(b)** 2 and 6. **(c)** 15 and 16. **(d)** 19 and 22.

**6. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Even numbers. **(b)** Composite numbers. **(c)** Perfect numbers. **(d)** Discrete numbers.

**7. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?**
**(a)** del Ferro's method. **(b)** Pacioli's method. **(c)** Fontana's method. **(d)** Cardano's method.

**8. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Fifteen century. **(b)** Twentieth century. **(c)** Seventeeth century. **(d)** Thirteenth century.

**9. Which of the following was one of Euclid's great theorems?**
**(a)** There exists only infinite and whole numbers. **(b)** There exists an infinite number of prime numbers. **(c)** Prime numbers are more comples than discrete numbers. **(d)** There exists an finite number of prime numbers.

**10. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in creating simple elevation maps, **(b)** It was useful in finding the area of circles. **(c)** It was useful in finding the area of oddly shaped pieces of land. **(d)** It was useful in determining the distance between two points.

**11. What did Ferdinand Lindeman prove in 1882?**
**(a)** That the square of a circle can not be found with a compass and a straight-edge. **(b)** It is impossible to find the square of a semicircle. **(c)** It is possible to find the square of a circle. **(d)** That the square root of the hypotenuse of a right triangle can not be found.

**12. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Parallel lines. **(b)** Intersection. **(c)** 180 degree angle. **(d)** Circle.

**13. What did Archimedes manage to prove using Euclid's ideas?**
**(a)** That the value of pi is proportional to the area of the circle. **(b)** That the relationship of area to circumference is really the same as the relationship of radius to diameter. **(c)** That the square of a diameter is equal to pi. **(d)** That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.

**14. Which of the following can not be solved using algebra?**
**(a)** Quadratic equation. **(b)** Geometric equation. **(c)** Triangulation. **(d)** Quintic equation.

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

## Short Answer Questions

**1.** Who challenged Tartaglia to a contest to solve cubic equations?

**2.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

**3.** Where was Archimedes born?

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

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

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