Mathematics

Geometry

100

A Convex Polygon with 6 sides

What is a Hexagon?

200

A regular Polygon with interior angles each consisting of 135 degrees

What is an octagon?

300

The locus of all points equidistant from a single point

What is a circle?

400

The sum of interior angles in a Heptagon

What is 900 degrees?

500

The sum of the exterior angles of any convex polygon

What is 360 degrees?

Algebra

100

Solution to the equation x-3=0

What is 3?

200

Solution(s) to the equation x²-9=0

What are 3 and -3?

300

Solutions to the equation x³-2x²+x=0

What are 0 and -1?

400

The distance between the points (3,9) and (7, 6)

What is 5?

500

A polynomial equation of degree n with real coefficients has n real and imaginary roots 

What is the fundamental Theorem of Algebra? 

Paradoxes

100

When you're in a situation you cannot escape because of contradictory rules. Ex. You need job experience for a job but in order to get the experience you need to have the job first.

What is a Catch 22?

200

You'll never get from point A to point B as you must always go half way there and then half way again and so on

What is Zeno's Paradox?

300

If you have a hotel with infinite rooms that are all full you can always fit more guests.

What is Hilbert's Paradox?

400

When you cut a ball into finite pieces and reassemble the pieces to create two balls identical to the first one. (You might know this from Vsause)

What is the Banach-Tarski Paradox?

500

A coast-line is ill-defined and has infinite length when put in enough detail.

What is the Coastline Fractal Paradox?

Arithmetic

100

The answer to 1+1=

What is 2?

200

The answer to 5*67

What is 335?

300

The answer to 5345/5

What is 1069?

400

What is the remainder of 436/17

What is 11?

500

All numbers are a unique product of prime numbers

What is the fundamental theorem of arithmetic?