What's the risk of passive smoking? Or climate change? How big is the terrorist threat? And should we trust league tables? These issues concern all of us, but it's not always easy to make sense of the barrage of media information. David Spiegelhalter, Winton Professor for the Public Understanding of Risk, gives Plus his take on uncertainty.

How did we evolve our capacity for maths? Does maths piggy-back on our ability for language, or is it a completely separate faculty? Is it dependent on culture? Plus spoke to the cognitive psychologist Rosemary Varley to find some answers.

One of the many strange ideas from quantum mechanics is that space isn't continuous but consists of tiny chunks. Ordinary geometry is useless when it comes to dealing with such a space, but algebra makes it possible to come up with a model of spacetime that might do the trick. And it can all be tested by a satellite. Shahn Majid met up with Plus to explain.

Mathematicians pin down symmetry

Plus went to see members of Norman Foster's group of architects to learn about the maths behind architecture.

The highest honour in maths has been awarded to four mathematicians

Van Gogh paintings mimic the physics that governs turbulence

The travels of bank notes give important clues to epidemiologists

Is geometry hard-wired into our brain?

Carla Farsi is both an artist and a mathematician, who declared 2005 her Special Year for art and maths. Find out what she got up to, and what it's like being a part of both worlds.

The risks in Who wants to be a millionaire?

Extrasolar planets have been grabbing the headlines