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Exploration Ideas

All Algebra (11) Functions & Equations (26) Geometry & Trigonometry (71) Statistics & Probability (41) Calculus (20) Mathematical Modeling (5) Applied Mathematics (1) Graph Theory (9) 184 ideas
How Fast Can You Fall?
How Fast Can You Fall?

A skydiver doesn't speed up forever — the air pushes back harder …

Modelling Physics +3
Stuck at Deuce
Stuck at Deuce

You win 60% of points on your serve — so how often …

Probability Sports Mathematics +3
Monopoly Is Rigged (and You Can Prove It)
Monopoly Is Rigged (and You Can Prove It)

Some Monopoly squares get landed on far more than others — it's …

Probability Matrices +3
Do Tall People Earn More?
Do Tall People Earn More?

The Guardian reported research claiming every extra inch of height is worth …

Data Collection Statistics +3
GPS Pathfinding: How Does Your Phone Choose the Route?
GPS Pathfinding: How Does Your Phone Choose the …

Every time you ask for directions, your phone solves a graph problem: …

Optimization Graph Theory +3
Oxford's 33.7°C: How Unusual Is a Record-Breaking Day?
Oxford's 33.7°C: How Unusual Is a Record-Breaking Day?

In May 2026 Oxford hit 33.7°C, beating a record that had stood …

Statistics Data Analysis +3
Blue Seven: Are Humans Bad at Being Random?
Blue Seven: Are Humans Bad at Being Random?

Ask people for a random colour and a random number, and the …

Data Collection Statistics +3
The Secretary Problem: When Should You Stop Looking?
The Secretary Problem: When Should You Stop Looking?

You interview candidates one at a time and must hire or reject …

Probability Decision Making +3
The Willy Wonka Elevator
The Willy Wonka Elevator

Willy Wonka's glass elevator moves in every direction — up, down, sideways, …

Vectors 3D Geometry +3
Can a Cube Pass Through a Hole Smaller Than Its Own Face?
Can a Cube Pass Through a Hole Smaller …

A cube can be cut with a hole large enough for an …

Trigonometry Geometry +3
Great Circle Routes: The Shortest Way Home
Great Circle Routes: The Shortest Way Home

Why don't planes fly in a straight line on a map? Use …

Trigonometry Modelling +3
UK Student Loans: A Tax on the Poor?
UK Student Loans: A Tax on the Poor?

UK student loans are said to cost the poor more than the …

Modelling Statistics +3
The Geometry of Woodwork Joints
The Geometry of Woodwork Joints

Woodwork joints such as dovetails and mitres depend on precise angles for …

Trigonometry Geometry +3
Coordinating a Robot Army
Coordinating a Robot Army

How do you program hundreds of identical robots to move in perfect …

Vectors Matrices +3
Anamorphic Football Pitch Sponsors
Anamorphic Football Pitch Sponsors

Football pitch sponsor logos appear flat and perfectly proportioned on TV, but …

Geometry Matrices +3
Why Do Pitch-Side Sponsors Look Normal on TV? The Geometry of Anamorphic Advertising
Why Do Pitch-Side Sponsors Look Normal on TV? …

Investigating how football pitch advertisements are deliberately distorted so they appear flat …

Trigonometry Sports Mathematics +4
The Red Bull Lorry Jump
The Red Bull Lorry Jump

A mountain biker jumps his bike through a closing gap between two …

Penrose Unilluminable Room
Penrose Unilluminable Room

Penrose Unilluminable Room is a room with mirrored walls that can't be …

Active Noise Cancelling
Active Noise Cancelling

How active noise-cancelling headphones work, and why they can't cancel everything.

Trigonomtery
Where's Your Nearest Nando's?
Where's Your Nearest Nando's?

A straight-line 'nearest branch' map is not the same as a real …

Geometry Voronoi Diagrams +2
£14 Million, who do you choose?
£14 Million, who do you choose?

How many valid fantasy-league squads exist once budget and position limits are …

Combinatorics Permutations +3
Fidget Spinner Spin Time
Fidget Spinner Spin Time

Why fidget spinners slow down and eventually stop spinning

Data Collection Rotational Motion +3
Buildings That Look Straight But Aren't: Parthenon
Buildings That Look Straight But Aren't: Parthenon

How architects use lines to counteract optical illusions

Applied Geometry Architecture +3
Red Bull Rampage and Extreme Sports Ramps
Red Bull Rampage and Extreme Sports Ramps

The mathematics behind skateboard, BMX, and mountain bike ramps

Optimization Projectile Motion +3