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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 Euclid's definition of a prime number?**
**(a)** Numbers which contain an infinite number of composite numbers. **(b)** Numbers which do not, and can not, contain a perfect number. **(c)** Numbers which are divisible by 2. **(d)** Numbers which can only be divided by themselves and 1.

**2. Which of the following is an example of a perfect number?**
**(a)** 6. **(b)** 10. **(c)** 1. **(d)** 20.

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

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

**5. Which was true of Euclid's number theory?**
**(a)** It was proven to the true by Hippocrates. **(b)** It was incorrect, as proved by Plato. **(c)** It has been proven too basic to be useful. **(d)** It has an impact on modern math.

## Short Answer Questions

**1.** Which of the following were an example of twin primes?

**2.** Where does the center of mathematical thinking shift to after Italy?

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

**4.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

**5.** Who encourages Newton during his studies at Cambridge?

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