formulas
patterns
geometry
algebra
equations
100

name the formula of roots

it is -b plus or minus square root of 2ab-4ac all over 2a.

100

There is an avacado, two bears, three cats, four dogs, five elephants, six foxes, seven grapes, eight ______, _________ ice creams, ...

which of the following below could fit the pattern?

a.hippo, ten

b. jaguar, three

c. hippo, nine

d. jaguar, ten

c (previous number+1 alphabet order start)

100

What is the formula to find a triangle's space?

S=1/2 * a * h (a is a side of a triangle)

100

1+1=?

100

2/3 * (5+x)= 5-9x

find x

x=5/29

200

(a+b)2-(a-b)2=

(speed limit 10seconds)

4ab

200

find the intersection point of these two graphs of linear functions.

2x-y=5

7x=y-6

(-11/5, -47/5)

200

What is the formula to find a triangle's area by the pythagorean theorem? (Heron's formula)

s=1/2*(a+b+c)

S= the square root of s(s-a)(s-b)(s-c)

200
How do you find a nth triangular number?

n(n+1)/2

200

(12x12-2)%

7/5

300

circle's circumfrance

circle's surface

sphere's surface area

sphere's volume

(pi will be indicated by the letters 'pi')

(time limit 20seconds)

2'pi'r

'pi' r2

4'pi' r2

4/3 'pi' r3

300

110111001011101111000

find the next 5 numbers and the pattern

10011

binary scale of 12345678...

300

say how to find a triangle's interior.

A triangle's interior point is the intersection point of all angle bisectors of a triangle.

300

What is the form of a quadratic function?

y=ax2+bx+c

300

What is 25% * 45% * 3 -2?

-133/80

400

name the euler's formula

ei(pi)+1=0

400

!@#$%^&*()!!!@

find the pattern and the next 5 symbolizations.

It is the numbers while in shift

!#!$!

400

Who discovered the Pythagorean theorem?

Euclid

400

What is the Euler's formula called otherwise?

The most beautiful formula

400

What is an equation?

A mathematical statement in which you show that two amounts are equal using mathematical symbols.

500

What is the Colatz Conjecture?

It is that every natural number that follow these rules end up in 1

-If a number is odd, multiply it by 3 and minus 1

-If a number is even, divide it by 2

-repeat until the 1,4,2 cycle begins

500

n(linguini)=129147219149

What is the pattern and what is n(superstition)?

the sequence of each alphabet, 192116518192092092091514

500

Find the possibility of flipping a coin.

It is about 50.8% of the side it started.

500

Prove 1+1=2

According to Peano's 5 axiomatic theorems, the next number to a tnatural number n is always n+1, and nothing else. This means that the set of natural number's order doesn't loop or exists twice. Also, no other natural number exist out of this set. Because of these theorems, 1+1=2.

500

There is a game...

-One should guess a card out of the 54 decks of cards.

-If it's a n of something, one gets n times to guess the card

-Kings are due 11 times to guess, queens are due 12 times, and Jacks and Jumps are due 13 times.

-Both Jokers are due an infinite amount.

What is the possibility of guessing the card correct, and why?

15/54. Aces, twos, ... jumps and jacks are a total of 1/4. The two jokers add up to 2. 1/4 X 52 + 2=15, and since there is 54 cards, it is 15/54