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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 was the title of Cardano's book which contained the solution to the cubic?**
**(a)** Tarsisia. **(b)** Ars Magna. **(c)** La Magnifica. **(d)** Elements.

**2. How did Archimedes arrive at a number value for pi?**
**(a)** By constructing multi-sided polygons inside and outside a circle and determining their perimeters. **(b)** By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal. **(c)** By proving pi could not be equal to one. **(d)** By proving that pi could not be a negative number.

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

**4. What is true about prime numbers?**
**(a)** Prime numbers can not exist in a finite series. **(b)** Prime numbers are not divisible by other numbers. **(c)** That for every group of prime numbers, there exists at least one more prime. **(d)** Prime numbers can never be an odd number.

**5. Which phrase best describes Newton as a student at Cambridge?**
**(a)** Tolerant, mildly interested in science. **(b)** Unnoticed, but remarkable. **(c)** Quiet recluse of no intelligence. **(d)** A highly praised genius.

## Short Answer Questions

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

**2.** Who was the author of the book Elements?

**3.** Besides being a mathematician, what else other work was Archimedes famous for?

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

**5.** Who wrote a treatise that supposed that cubic equations may be impossible to solve?

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