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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.

If you get bored eating the same thing over and over, spare a thought for dogs. Many pet dogs eat the same thing every day, week after week. And a change in food can be abrupt – empty the old bag of dog food, and start with something brand new. But how long does it take a dog to adjust to a new diet?

Have you ever sat in the front seat of a car at night? Road reflectors, street signs and even road paint all shine bright under car headlights. Make your own ‘road paint’ and see if you can make it shine with glass beads!

This quiz is all about waves. Will you ride it to victory, or will you wave goodbye to your high score?

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!

Here are 5 fresh questions to juggle for this week’s quiz. Will you score high, or come crashing to Earth?

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

Need a bag to carry your library books, or to tote home your shopping? Here’s a way to turn an old t-shirt into a new bag, no sewing needed, during Plastic Free July.