Math
In Fnaf 1 Bonnie and Chicas movement interval (every set amount of time before they have a chance to move) are approximately 5 seconds and 5 seconds respectively. What is the least common multiple of their movement intervals?
(Use a calculator if you want, nearly impossible without.)
5
State 20 digits of Pi
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038
3.1415926535897932384
Assume you have a wolf, a sheep, and a head of lettuce on one side of the river. You need to get them all to the other side of the river one at a time in a small boat. If you leave the wolf with the sheep, the wolf will eat the sheep, and if you leave the sheep with the lettuce, the sheep will eat the lettuce, so you can never leave them alone together. How many trips would it take you to get all of them across in the least amount of trips?
7
If a hedgehog weighs 600 grams, how many would you need to have 360 kgs worth of hedgehogs?
600
Theoretically, what is the value of x that makes this equation true?
√x = i
-1
In FNAF 3 there is only one animatronic: Springtrap. The only way to defend yourself is to use audio lures, to lure him away from the office (where you are). The audio lure has a 1/7 chance of not working. What is the reciprocal of the chance that it fails 5 times in a row?
75 = 16807
Solve:
13563 / 4
(LONG division)
3390.75
A 3 digit number is such that its tens digit is equal to the product of the other two digits which are prime. Also, the difference between its reverse and itself is 99. What is the sum of the three digits?
11
A number, n, is added to the numerator and subtracted from the denominator of the fraction 37/82. The resulting fraction is equivalent to ¾. What is the value of n?
14
Name the theorem:
\(c = \sqrt[2]{a^{2}+b^{2}}\)
Pythagorean Theorem
In Fnaf 4 there is an animatronic named Nightmare Foxy. He will either switch between the entrances of the 2 halls that are on either side of you or enter one of the halls. There is a 10% chance that he will enter the hall and a 90% chance he will just go to the other hall entrance and not enter the hall. What is the chance that he will switch entrances 3 times and then enter a hall.
729/10000 = 0.0729 = 7.29%
Solve for x
|4x-1|-|-3|+|-6||4x-3| = 20x+3
You only need to provide one solution.
(| is absolute value)
x = 25/8, 11/40
Using only addition and numbers with digits that are 8, use eight of these 8s to get the number 1,000
(Give me the equation)
888 + 88 + 8 + 8 + 8 = 1,000
Give an expression that uses only addition and multiplication and evaluates to a palindrome that is at least 5 digits.
Same way reading left to right and right to left.
Ex: 54344 * 1 + 1
Physarum polycephalum is a single celled organism with no brain often referred to as slime mold. It will map out the best way to get to food. By placing an oat on all the points of subway stations of a map of Tokyo, it mapped out the “best” route to get to all the stations. The Physarum polycephalum was able to complete the task in 28 hrs. It took the human TEAM 80 YEARS to complete the same task and get almost the exact same result. Theoretically, if we assuming it is a 365 day year every year (I don't want to calculate all the leap years), how many seconds would the team have saved if they had known about and used the Physarum polycephalum?
(It was discovered well after the completion) (Use a calculator)
80 x 365 = 29200
29200 x 24 = 700800
700800 x 60 = 42048000
42048000 x 60 = 2522880000
2522880000 - (28 * 60 * 60) = 2522779200
In Fnaf UCN there is a character called Rockstar Foxy. If you click on his parrot, he will appear. He has an A/21 chance to kill you. If he doesn’t kill you he will offer you a gift. Assuming that he has his max A, 20, what is the % chance he will give you a gift, 4 times in a row.
(Use a calculator)
(1/21)4 = 0.000514189%
Solve for both x values
|x + 1 - x^2| = (2x^2 - 1)
x = 1 and -1
Assume you have a 17 inch worm. Cut it in half then take one of the halves and cut that in half. Continue this process until you have made 6 cuts. What is the length of one of the pieces from the second to last cut?
17/32
0.53125
Daily double!
Solve both problems:
((3x-3)(8x+5))^0 = ?
2 / ___ | <--- unknown side
1
(De-constructed right triangle) Solve for the unknown side.
1
Square Root 3
Explain the Collatz conjecture
(Say the three main points)
For even numbers, divide by 2.
For odd numbers, multiply by 3 and add 1.
With enough repetition, do all positive integers converge to 1?
From Wikipedia for Collatz conjecture
Freddy Fazbear downloads m dating apps. Each app costs $2.00 plus 10% tax. He spends $52.80 in total on these m apps. What is the value of m? What is the probability that Freddy is happy in life?
m = 24 dating apps
Freddy has a 0% chance of being happy (he downloaded 24 paid dating apps!)
Evaluate where x = 30 degrees:
2(((ee )(e-e ))2 /4 + sin2 (x))
1
2 loving goobermonsters will produce exactly 1 offspring after being alive for exactly 10 days. Goobermonsters cannot die and keep on reproducing every 10 days if they have a mate. Assume any 2 goobermonsters can mate with each other. How many days are needed for the goobermonster population to exceed 546 goobermonsters if the population starts at 2 goobermonsters (at time t = 0)?
150 days
What do mathematicians do?
They research the fundamentals and then develop theories.
Ex: Pythagorean theorem
From Wikipedia:
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
Theoretically what is this equal to? √-169 = ?
13i