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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

**1. Which of the following best describes Cardano's character?**
**(a)** Flirtacious. **(b)** Eccentric. **(c)** Religious. **(d)** Arrogant.

**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 proving that pi could not be a negative number. **(c)** By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal. **(d)** By proving pi could not be equal to one.

**3. What did British scholars accuse Leibniz of?**
**(a)** Plagiarizing Newton's calculus method. **(b)** Stealing Newton's Binomial theorem. **(c)** Publishing Newton's work without his approval. **(d)** Conspiring the death of Newton.

**4. What was Eratosthanes most famous for?**
**(a)** He showed that there are no even prime numbers. **(b)** He developed a way to navigate using logitude and latitude. **(c)** He developed a simple way to find prime numbers and for determining the circumference of the Earth. **(d)** He showed that the Earth must be a sphere.

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

## Short Answer Questions

**1.** What did Dunham consider as Archimedes's "masterpiece"?

**2.** Which word best describes Newton's childhood?

**3.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**4.** What hindered Euler's work as he grew older?

**5.** What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

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