When two closely matched teams play each other, what is the most likely result?
Where should runners start the 200m race so that they have all run the same distance by the finish?
The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?
Does weight confer an advantage to shot putters?
Exploit the symmetry and turn this quartic into a quadratic.
See how the weight of weights varies across the globe.
Consider the mechanics of pole vaulting
In what ways can the pdfs of two normal distributions intersect?
A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.
A weekly challenge concerning combinatorical probability.
Elliot and Linden sent us clear explanations of why each graph had
the shape it did.
Go to last month's problems to see more solutions.
Playing squash involves lots of mathematics. This article explores
the mathematics of a squash match and how a knowledge of
probability could influence the choices you make.
How high can a high jumper jump? How can a high jumper jump higher without jumping higher? Read on...
Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.