Alg/NT
Geo/Trig
Prob/Comb
Tetrahedral Trivia
Game Theory
100
Steve has some number of chests and some number of hoppers filled with swords. Each chest fits 27 swords and each hopper fits 5. If Steve has 113 swords in total, how many chests does Steve have? (Chests and Hoppers cannot be split, there has to be a whole, nonnegative number of them).
4
100
An iron golem is made by stacking 4 iron blocks in a "T" form, and placing a pumpkin block on the center of the top face of the T. If all blocks are unit cubes, what is the positive difference between the numerical value of the surface area and the volume of an iron golem?
17
100
A trap has an A% chance of activating, and Steve has a B% chance of surviving the trap (with or without activation). If the trap cannot kill Steve without being activated, A+B=110, and Steve has a 5% chance of dying if the trap doesn't activate, what is the chance that Steve dies?
20%
100
What is the name of a 3d pixel?
A voxel
100
A villager trades 3 iron for 5 emeralds, and a friend will give you 2 iron in exchange for 4 emeralds. A full inventory duplication glitch allows you to double both your iron count and emerald count at any time. Starting with 1 iron, what is the lowest number of items you could possibly have after exactly 5 actions, where an action is a trade or a duplication?
4
200
Technoblade has a large number of potatoes N. When dividing his potatoes amongst 13 people, he had 11 left over. When dividing amongst 17, he had 13 left over, and when dividing amongst 19, he had 17 left over. What's the smallest N could be?
3209
200
Five rectangles, A, B, C, D, and E, are arranged in a square as shown below. These rectangles have dimensions 
, 
, 
, 
, and 
, respectively. (The figure is not drawn to scale.) Which of the five rectangles is the shaded one in the middle?
B
200
How many ways are there to distribute 10 carrots amongst yourself and 3 friends?
286
200
When was Minecraft FIRST released? Bonus 200 points if you can say what it was called upon release.
2009, Cave Game.
200
Iskall, Grian and Mumbo play a game where you must guess an integer number picked randomly on the interval [1, 10]. Players may only guess integers and the closest player wins. Grian truthfully announces that they will pick 8. Iskall knows that Mumbo will always pick the best number with the information he and Grian have given him, and if there's ambiguity between two equally good choices, Mumbo will pick the smaller one. What number should Iskall announce he will pick, and what number should Iskall pick in actuality, to have the highest chance of winning?
Announce: 9 or 10
Pick: 6
300
A hopper has 5 slots, and a dropper has 9. Alex places down some number of hoppers and some number of droppers. What is the largest number of total slots that Alex could not have placed down?
31 slots
300
6 points are chosen on a unit circle such that when lines are drawn between all pairs of two points, no three of such lines intersect at the same point. How many sections will these lines divide the unit circle into? (Hint: Faces - Edges + Verticies = 2)
31 (not 32! :P)
300
Steve starts at (0,0) and walks one block up, left, or right every minute. A lava pool lies on the line y=2. What is the expected amount of time it will take for Steve to walk into the lava?
6
300
It's known that Minecraft: Java Edition is written in Java, but what programming language does Minecraft: Bedrock Edition use?
C++
300
Freebie! Gain 300 points!
:3
400
It's given that:
x + 1/y = 4
y + 1/z = 1
z + 1/x = 7/3.
What is xyz?
1
400
4 points are chosen at random on a unit sphere and made into a tetrahedron. What is the probability all of the resulting dihedral angles are acute?
1/8
400
A tunnelled King moves one square per move, either right, down, or diagonally right-down. It starts on the top left square of an 4x4 board (There are 4 squares to a side). How many ways are there for it to move to the bottom right square?
63
400
Which update is known as the "World of Color" update?
1.12
400
A chess king traverses an infinite board. A devil burns one square each time the chess king moves (chess kings move one square in any direction, including diagonals). Can the devil trap the king? How? (x2 points)
Yes
500
AIME Time!
Quadratic polynomials 
and 
have leading coefficients 
and 
respectively. The graphs of both polynomials pass through the two points 
and 
Find 
116
500
Given cube ABCDEFGH, where AB, AC, and AD are sides of the cube and AE is a spatial diagonal of the cube, there exists a point P such that PB=sqrt(2024), PC=45, PD=sqrt(2026), PE=sqrt(2023). What is the square of the length of PA?
PA=2026
500
How many ways are there to split the integers 
through 
into 
pairs such that in each pair, the greater number is at least times the lesser number?
144
500
During which time period was the art style "Cubism" invented?
1907, error of maximum 5 years allowed.
500
Experiment!
Pick another team. Both of you tell Kevin either "1" or "2" in secret. If both pick 1, neither gets any points. If both pick 2, both get 500 points. If one person picks 1 and another picks 2, the person who picks 1 gets 1000 points and the one who picked 2 loses 500 points.
:3