If you've flipped heads 10 times what's the next flip most likely to be?  Bayes' theorem has the answer, not just for the coin, but for the pursuit of science generally.

Trying to make a prediction about the world based on dodgy data? Then data assimilation has the answer!

Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.

Many processes, including climate change and the spread of COVID-19, involve a delay. Here's a beautiful equation designed to model such processes.

This puzzle is famous because the accepted answer is counter-intuitive. But is it always correct?

It's one of mathematics' most famous results: every "map" can be coloured using at most four colours. What it doesn't usually apply to, however, are real maps.

The golden ratio has many amazing properties. But is it really a secret of nature and the epitome of beauty?

With a bit of maths, yes!

Are these methods fair?

Unfortunately the answer is no, not perfectly. Find out more here.

Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.

One of the greatest threats to whales is being struck by ships. Find out how Pythagoras' theorem can help avoid this.