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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 phrase best describes Newton as a student at Cambridge?**
**(a)** Tolerant, mildly interested in science. **(b)** Unnoticed, but remarkable. **(c)** Quiet recluse of no intelligence. **(d)** A highly praised genius.

**2. 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 equal to pi. **(c)** It's equal to the square of the radius. **(d)** It's never proportional to its circumference.

**3. What did Newton's calculus involve?**
**(a)** Determining the volume of a sphere. **(b)** Proving the cubic equation. **(c)** Determining the area under a curve. **(d)** Proving the existance of pi.

**4. What did Gauss set out to prove?**
**(a)** That a circle can have less than 360 degrees. **(b)** That Euclid's postulate on straight lines was incorrect. **(c)** That the sum of the angles in a triangle is 180 degrees. **(d)** That a right angle is always equal to 90 degrees.

**5. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Divide a infinite group of primes by the sum of their composites. **(b)** Take a finite group of primes and add them together, plus one. **(c)** After summation, the new number can be prime or composite. **(d)** If a new number is found to be composite, then it must have some prime as a divisor.

## Short Answer Questions

**1.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

**2.** What did Euclid do in his 48th proposition?

**3.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

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

**5.** Which of the following is true about pi, as described by Dunham.

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