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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. Where was Archimedes born?**
**(a)** Olympia. **(b)** Rome. **(c)** Sicily. **(d)** Athens.

**2. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's never proportional to its circumference. **(b)** It's equal to the square of the radius. **(c)** It's always proportional to its circumference. **(d)** It's equal to pi.

**3. To how many decimal places did Newton determine the number for pi?**
**(a)** Twelve places. **(b)** Eight places. **(c)** Nine places. **(d)** Three places.

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

**5. Which name does NOT belong?**
**(a)** Renee Descartes. **(b)** Francois Viete **(c)** Blaise Pascal. **(d)** John Napier.

## Short Answer Questions

**1.** In Elements, how many postulates must be accepted as given?

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

**3.** What were the proofs in Elements based on?

**4.** In what time period did mathematicians find a solution to cubic equations?

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

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