Math Team 9/20

Powerful Proofs

100

A proof where you prove the negation of the statement is incorrect, thus the statement is true.

What is contradiction?

200

A proof where you prove the base case, and then connect the dots to all other cases. Domino effect type of proof

What is induction?

300

What principle does this illustrate? 

There are 32 people at a party, thus at least two must have the same birthday.

What is the Pigeonhole Principle

400

Statement: If cats are cool, then I want one.

What does the statement below represent? 

If I want a cat, then they are cool

What is Converse?

500

The principle that makes it possible to prove that there is someone with the same amount of body hairs that you have.

What is the pigeon hole principle?

Miscellaneous Math

100

"brilliant scholars"- ______(name of math teacher at Lakeside)

Who is Mr. Meitin

200

Simplify 

2sin(x)cos(x)

What is sin(2x)

300

Give the number of permutations of the word

MEOWMEOW

What is 1680?

400

A*B is defined as 2A + 5 B

what is (3x+1)*3x

What is 21x+2?

500

Happy line continuing off to infinity from one endpoint

What is a gay ray?

High School Math

100

Find the inverse of f(X)=3X+2

What is (x-2)/3?

200

Complete the square...

x²+10x+75

What is (x+5)²+50?

300

What function allows you to sum infinitesimals to find areas and volumes in calculus?

What is an integral

400

What conic section is the locus of the points that have the same distance from the directrix and the focus when summed together?

What is a parabola?

500

The derivative of 3xe^x

What is 3e^x+3xe^x?

Trivia

100

What irrational number can be approximated as 22/7?

What is pi?

200

Who wrote the famous ______(his name) Last Theorem?

Who is Fermat

300

A cross section of a line is a dot

A cross section of a square is a line

What thing has a cross section of a cube?

What is a hypercube?(4-D)

400

The guy who "proved" there was many infinities

Who is Georg Cantor?

500

The biggest number

What is googolplex?