Algebra
Geometry
Number theory
Combinatorics
Mystery
100
Factorisation of x3-1
What is (x-1)(x2+x+1)?
100
Area of an equilateral with side length 1
What is √3/4?
100
Sum of the prime factors of 1001
What is 31?
100
Chance of rolling three 6s with three dice
What is 1/216?
100
"Answer to the Ultimate Question of Life, the Universe, and Everything"
What is 42?
200
Factorisation of 2xy+3x-y-1.5
What is 0.5(2x-1)(2y+3)?
200
This point is where all 3 medians of a triangle intersect
What is the centroid?
200
Minimum k such that 2024k is a perfect square
What is 506?
200
Number of ways to take three eggs from two dozen eggs.
What is 2024?
200
This 2001 movie featured the mathematician that pioneered game theory
What is A Beautiful Mind?
300
Roots of x4-2x3-x2+2x+1=0
What is φ, 1-φ (or (1±√5)/2)?
300
|a+b| ≤ |a|+|b| is often called this
What is the triangle inequality?
300
Number of zeroes at the end of 1000!
What is 249?
300
Probability of a randomised alphabet having XYZ adjacent to one another in some order
What is 3/325?
300
This mathematician first published a proof for Fermat's Last Theorem in 1995
Who is Andrew Wiles?
400
Solutions of sin(4x)=cos(x) in the range 0<x<180°
What are 18°, 30°, 90°, 150°, 162°?
400
Minimum number of unit squares that can completely cover a square of side 2.1 units
What is 7?
400
10! (mod 11)
What is 10?
400
Number of ways 4 distinct apples can be split into one or more non-empty piles
What is 15?
400
This city will hold the 2024 International Mathematical Olympiad
Where is Bath?
500
Sum of all numbers that can be written in the form 1/(2a5b) where a and b are integers and a>b>0.
What is 1/9?
500
What is 16√3 - (16/3)π?
500
All integer solutions (a, b) to ab=234256
What is (234256, 1), (484, 2), (-484, 2), (22, 4), (-22, 4)
500
Number of 4-digit numbers with non-increasing digits from left to right
What is 714?
500
1+1
What is 2?