The men's lightweight fours and the women's eights are going to compete for medals today, but are they sitting in the right place? Usually you expect to find rowers positioned in a symmetrical fashion, alternately right-left, right-left as you go from one end of the boat to the other. However, the regularity of the rower's positions hides a significant asymmetry that affects the way the boat will move through the water.

Some very exciting medals are going to be won today, including the women's 200m butterfly and the men's 100m freestyle. But we're unlikely to see the rush of record-breaking performances we saw in Beijing in 2008 — that's because in 2008 many swimmers benefited from controversial performance swim suits, which have now been banned. But how did these suits improve performance?

We're getting very excited about the medals that will be awarded in canoeing and kayaking over the next three days. But here's a question: does having lots of paddlers helps or slow the boat down? The kayak with two paddlers has twice as many "engines" to power it, but it also has twice as much weight to drag through the water. Which is the dominant factor?

The first Olympic weekend is over! Of course it's the taking part, not the winning, that counts, but let's face it: it's the medals, especially the gold ones, we all get most excited about. So while we were sitting glued to the telly watching the joys of weightlifting, archery and judo we started pondering some serious questions....

Predicting the final Olympic medal count is a black art. Sport, with all its intricacies and vagaries, is always susceptible to variations in form, weather conditions and simple random events. But we like a challenge! So without further ado, here is our predicted 2012 London Olympic medal count.

In our article Mapping the medals we came up with our very own prediction of the 2012 Olympic medal counts for the top 20 countries! This interactive map tells you how our predictions stack up: click on a country to see its actual medal count, our prediction and the results from 2008.

The eyes of the world will be on London tonight as the opening ceremony will mark the start of the London 2012 Olympic Games. The ceremony will feature the largest harmonically tuned bell in Europe, there'll be NHS dancers, the Queen will be there too of course, and the grand finale will be the Olympic torch lighting the cauldron. While London has been gearing up for these momentous events, we here at Plus have been busy too.

Yesterday we brought you two Olympic brainteasers and here are another two. Enjoy!

While the athletes are flexing their muscles, why not train your brain with these two Olympic puzzles?

Will Britain be able to turn the home advantage into the top spot on the medal table this Games? Predicting medal counts is a tricky business, but, never afraid of a challenge, we will reveal our own predictions for the top 20 countries here on Plus on Friday. In the meantime, why not come up with your own mathematical method for predicting the results? To help you along, here are two articles we produced for the 2008 Games in Beijing:

Only four days to go until the start of the London 2012 Olympic Games! To get into the spirit, we cast our minds back to one of our favourite features of the 2008 Beijing Games: the beautiful aquatics venue, known as the water cube. Looking like it had been sliced from a giant bubble foam, the design was based on an unsolved maths problem. And although the bubbles look completely random, the underlying structure is highly regular and buildable.

Remember Frank Lampard's disallowed goal in the 2010 World Cup match against Germany? The ball hit the crossbar, landed well behind the line but then bounced out again. And it all happened too quickly for the ref to spot it was a goal. How these kind of (non)-goals happen and what can we do about them?