Menu
EARLY ACCESS JMaths is in active development — new content added regularly

AI Exploration Coach BETA

We're developing an AI mentor that provides Socratic guidance for your Mathematical Exploration. Currently in beta testing with select schools.

Exploration Ideas

The Willy Wonka …
The Willy Wonka Elevator

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

Vectors 3D Geometry Kinematics +2
Modelling a Rotating …
Modelling a Rotating Shape Through a Template

A shape rotates and passes perfectly through a cut-out template. How would …

Trigonometry Geometry Circular Motion +2
Great Circle Routes: …
Great Circle Routes: The Shortest Way Home

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

Trigonometry Coordinate Systems Distance +2
UK Student Loans: …
UK Student Loans: A Tax on the Poor?

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

Statistics Compound Interest Financial Mathematics +2
The Geometry of …
The Geometry of Woodwork Joints

Why are specific angles used in woodwork joints? Investigate the geometry behind …

Trigonometry Geometry Angles +2
Coordinating a Robot …
Coordinating a Robot Army

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

Vectors Matrices Parametric Equations +2
Anamorphic Football Pitch …
Anamorphic Football Pitch Sponsors

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

Geometry Matrices Perspective +2
Why Do Pitch-Side …
Why Do Pitch-Side Sponsors Look Normal on TV? …

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

Trigonometry Anamorphic Projection Projective Geometry +3
The Red Bull Lorry Jump
The Red Bull Lorry Jump

How could you model this mathematically?

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

Investigate how ANC headphones really work, and why they are not perfect. …

Trigonomtery
How long to travel for a Nandos?
How long to travel for a Nandos?

How can you analyse the mathematics of a map like this?

Grpah Theory Matrices