Alg/NT
Cows have 4 legs, insects 6, and humans 2. A radar detects 2023 legs in the area. How many different numbers of cows could there be?
0.
What's the area of a hexagon with side length 1?
A 3-person committee is going to be formed from a group of 5 scientists. How many ways are there to do this?
10
On which website did the QAnon conspiracy emerge?
4chan
What's the largest number that is numerically equivalent to the product of its digits (in base 10)?
9
Suppose a and b are integer sides of a rectangle with numerically equivalent area and perimeter. Find one possible pair (a,b).
Answers may vary. If they fit 2a+2b=ab, then it's correct.
How many ways are there to split 4 broken microscopes amongst 4 recycling bins?
35
Which people were the central focus of a new conspiracy theory formed in the wake of this years Superbowl?
Taylor Swift and Travis Kelce
How many times per day do the hands of an analog clock coincide?
22
A circle is inscribed in an equilateral triangle, and a second equilateral triangle is inscribed within that circle. What is the ratio (R>1) between the area of these two triangles?
Every minute, an ant walks either one meter to the right or to the left (chosen at random). If it ever hits the 3 meter mark in either direction, it dies. What's the probability that it's still alive after 4 minutes?
7/8
What percentage of the US population (within +- 5%) believe in the Moon Landing Conspiracy Theory?
8% (anything from 3% to 13% is correct)
Determine the number of unique solutions to:
x^12-x^8-x^4+1=0
(Consider both real and imaginary answers)
A biologist in the field enters a dangerous, circular ecosystem with a radius of 1 km. They place a tracker at the edge of this ecosystem, and never step out of the range of the tracker. If this tracker has a range of sqrt(3) kilometers, what is the area of the ecosystem that the biologist can explore?
7pi/6 - sqrt(3)/2
A petri dish of distinguishable bacteria has the property that there are precisely double the number of ways to select 2023 bacteria from the dish than there are ways to select 2024 bacteria. How many bacteria are in the dish? (there are at least 2024 bacteria in the dish)
3035 bacteria
What projection of the globe does the Flat Earth Society erroneously claim to be the true shape of the Earth?
Azimuthal equidistant projection
The expression:
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
can be expressed as (a^b-c) / d.
What is a+b+c+d?
70
A methane molecule (CH4) consists of 4 hydrogen atoms and one carbon atom arranged such that the hydrogen atoms are the vertices of a regular tetrahedron, and the carbon atom is equidistant to all of the other hydrogen atoms. If any two hydrogen atoms are 0.5 nanometers away from each other, how far away is each hydrogen atom from the carbon atom?
sqrt(6) / 8 nanometers
Bonus! The next question your team answers correctly is worth double!
Against whom did chess grandmaster Kramnick start a conspiracy theory?
Hikaru Nakamura (and chess.com)