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For an entire day, Ruth watched a dial clock, looking for when the hands met. She wrote down all the times they met. Which hour did the hands not meet?

This quiz is for all you maths wizards. Can you maximise your score, or does this quiz have your number?

Billie is really in to sneakers and is aiming to sell them for a profit. Work out if Billie made money, lost money, or sold the sneakers at their original price.

Barry has 2 candles that are both 60 centimetres long. One will last for 1 hour, and the other will last for 2 hours. Barry lights both candles at the same time. Later, he blows them out at the same time. The next day, Barry realises that one of the candles is half the length of the other. Assuming they both burnt evenly, how long were they burning for?

Have you ever struggled to pack balls back into your toy box? The Fields Medal, one of the most famous prizes in mathematics, was recently announced. One of this year’s winners, Ukrainian mathematician Maryna Viazovska, is an expert in packing balls in boxes. But there’s a catch! Her findings work in 8 dimensions (D) and beyond.

This traditional Chinese puzzle, known as a tangram, reveals some surprising properties of squares!

Can you find 5 consecutive (counting upwards) numbers that add up to 80?

Difficulty: Fun A fast passenger train leaves Sydney Central station, headed for Broken Hill. At the same time, a slow freight train, moving at only half the speed of the passenger train, leaves Broken Hill station, headed for Sydney Central. When they meet, which train is closer to Sydney?

It sounds like a perfect way to make money – scientists from The Australian National University (ANU) are now selling random numbers over the internet! But before you start your own business writing whatever number pops into your head, there’s something special about these numbers.

How many 1s does it take to write out the number eleven thousand, eleven hundred and eleven?