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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. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid's recipe for constructing even perfect numbers is incorrect. **(b)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory. **(c)** Euclid gave a good idea for how to construct even perfect numbers. **(d)** Whether there are no odd perfect numbers is still not known.

**2. What did Dunham claim about Archimedes's determination of a number value for pi?**
**(a)** Archimedes's number could have been better if he had understood Euclid's work better, **(b)** Archimedes's number was very good, considering he did not have a way to calculate square roots. **(c)** Archimedes's number was not very accurate, considering the technology of his time. **(d)** Archimedes's number was perfectly correct.

**3. Why did Cardano take an oath to secrecy?**
**(a)** It was the only way to get Tartaglia's solution to cubic equations. **(b)** It was the only way to get his book published. **(c)** It was to the only way to win the contest with Fior, **(d)** It was the only way he could become a priest,

**4. Who else, besides Newton, independently discovered a calculus method?**
**(a)** Isaac Barrow. **(b)** John Napier. **(c)** Gottfried Leibniz. **(d)** Pierre de Fermat.

**5. How many definitions were stated in Elements?**
**(a)** Eighteen. **(b)** Five. **(c)** Twenty-three. **(d)** Thirty.

## Short Answer Questions

**1.** What is true about prime numbers?

**2.** To how many decimal places did Newton determine the number for pi?

**3.** Which of the following was one of Euclid's great theorems?

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

**5.** What did Euclid state about pi in Elements?

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