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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. What hindered Euler's work as he grew older?**
**(a)** His hearing was getting worse. **(b)** He had very bad arthritis. **(c)** His increasing blindness. **(d)** He had a stroke.

**2. Which of the following did Dunham concentrate on as one of Newton's great advances?**
**(a)** Quadratic equation. **(b)** Area of a sphere. **(c)** Binomial theorem. **(d)** Quintic theorem.

**3. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The ability to find square roots. **(b)** The ability to measure angles. **(c)** The concept of providing a logical proof. **(d)** The concept of constructing useful mathematics.

**4. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to solve equations were only two varibles are known. **(b)** It was to determine the area of a circle by measuring a right triangle inside the circle. **(c)** It was to determine the volume of a sphere without measuring the circumference. **(d)** It was to find the area of a triangle when only the length of the sides are known.

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

## Short Answer Questions

**1.** Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

**2.** Which of the following best describes Archimedes as discussed by Dunham?

**3.** Which words best describe how solid proofs were developed in Elements?

**4.** After working on pi, what did Archimedes continue with in his study of mathematics?

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

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