Algebra
Miscellanea
Calculus
Geometry
Topology
100

The solution to a quadratic function.

What is (b^2+(b-4*a*c)^0.5)/2*a?

100

The formula for the imaginary unit.

What is i=-1^0.5?

or 

What is i=sqrt(-1)?

100
A point where as x approaches a number, y also approaches a number.

What is a limit?

100
The amount of sides a septagon has.

What is 7?

100

The property of being topologically the same as another thing.

What is homeomorphy?

200

The hailstone equation.

f(x) = {x%2=0: x*3+1; x%2=1: x*2}
200

A set composed of all possible combinations of a parent set.

What is a power set?

200

The operation for finding the slope at a specific point.

What is differentiation?

200

Draw on a whiteboard the correct way to construct a perpendicular line.

200

The hyperdimensional analog of a sphere.

What is a hypersphere?

300
The formula for euler's identity.

What is e^(pi*i)=1?

or

What is e^(pi*i)-1=0?

300

The first 4 triangular numbers.

What are {1, 3, 6, 10}?

300

The operation for finding the area of a graph.

What is integration?

300

The term for a number that cannot be constructed with a compass and straighedge.

What is a transcendental number?

300

The three types of space.

What are Euclidean, Spherical, and Hyperbolic spaces?

400
The correct form for a function that refers to itself.

What is f(x)=f(x-1); f(0)=0?

400

The foundation of nearly all of set theory.

What is Zermelo-Fraenkel Set Theory?

400
A set that is locally similar enough to euclidean space that you can perform differentiation.

What is a manifold?

400

The two tools basic tools used in euclidean construction.

What are a compass and straightedge?

400

The smallest amount of sides/faces an n-dimensional shape can have.

What is n+1?
500

The exponential notation for square root.

What is x^0.5?
500

There are two known perfect numbers, 12 and ____.

What is 6,086,555,670,238,378,989,670,371,734,243,169,622,657,830,773,351,885,970,528,324,860,512,791,691,264?
or
What is (2^126)(2^61 − 1)(2^31 − 1)(2^19 − 1)(2^7 − 1)(2^5 − 1)(2^3 − 1)?

500

The correct term for summation of a sequence.

What is capital sigma notation?

500

The fractal returned by swapping the operands in the mandelbrot set.

What is a Julia Fractal?

500

The four dimensional analog of a cube.

What is an 8-cell?

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