24 Questions
5, 7, 11, 11
11+11+7-5
On the AMCs, you get X points for a correct answer, Y points for a blank, and Z points for a wrong answer. Find the value of (X + 2Y - Z) squared.
81
2/3
The imaginary unit “i” was first used to solve equations of this degree.
3rd degree (cubics)
When was math discovered?
2008 (when Aahan was born)
accept any answer (that isn't in the future) because math is discovered every year
4, 4, 7, 9
add them lol (4+4+7+9)
What used to be the name of the AMCs?
accept Annual High School Contest or Annual High School Mathematics Examination.
Apra's yard is shaped like a triangle with side lengths of 10, 10, and 12. What is the area of Apra's yard?
48
MJ shoots better than Lebron over 3's, free throws, and in the paint, but Lebron still has a higher shooting percentage. What is this phenomena called?
Simpson's paradox
Within 10, how many videos does 3Blue1Brown have on Youtube?
224, so accept 214-234
2, 4, 5, 11
(11+(5-4)) x 2
What place did the USA IMO team get at IMO 2025?
2nd (rip)
Billy is climbing up a set of 8 stairs. He can climb up 1 or 2 stairs at a time. If he ends at exactly the 8th stair, how many jump sequences does he have to ascend the staircase?
34
Explain what each letter in the acronym "ZFC" signifies.
Zermelo-Fraenkel set theory with the Axiom of Choice. Zermelo and Fraenkel were mathematicians, while the AoC is a highly debated axiom about choosing objects within sets.
Explain the Goldbach conjecture.
The idea that every even number greater than two can be expressed as the sum of two primes.
1, 4, 5, 8
(5+1) x (8-4)
Define what the "Achievement Roll" is on AMCs.
These are given to younger students (like an 8th grader taking the AMC 10, or a 10th grader taking the AMC 12) who reach a certain cutoff.
67 cows have 670 toes. Each cow has at most 6 feet with at most 7 toes on each foot. What is the maximum number of cows that can have no feet?
51
Who is the first female recipient of the Fields Medal?
Maryam Mirzakhani
Terence Tao attended IMO 3 times. Within 3, what is the sum of his scores from those 3 trips?
93, so accept 90-96
1, 3, 4, 6
6/(1-(3/4)) -> 6 divided by 1/4 or 24
The 2022-2023 AMC season had exceptionally low cutoff scores. Within 5 points, what was the average USAMO cutoff (between both AIMEs and 12 A/B)?
222.625, so accept anywhere from 217.5 to 228
Ethan is pulling socks from his drawer. He has red and black socks, and wants matching set of 3 socks for his 3 feet. What is the expected amount of socks that he will need to draw?
33/8
Within 1 year, when was Fermat's Last Theorem proven?
1995, accept 94-96
Name at least 4 of the 7 Millennium Problems.
the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture