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How likely is it that at least two people out of 30 will share a birthday?

Keen to blow some seriously big bubbles? Try making this bubble mix!

1. Pi (or π) is a number that helps describe circles. It links the width of a circle with its perimeter, or the radius of a circle with its area, or the width of a ball and its volume. It’s the same number no matter how big your circle is – about 3.14159265.

Three and five. Five and seven. Eleven and thirteen. Prime numbers often appear as twins, only two apart. For hundreds of years, mathematicians have wondered – is there a biggest pair of twin primes, or does the list of twins keep going forever?

In the last decade, services such as Facebook have provided scientists with lots of information about current friendship links. However, they tell us little about historical friendships. So what might be the structure of an Ancient Greek social network?

How did people multiply before calculators were invented? You could try doing it in your head, but you could also use a mechanical calculator, such as this set of Napier’s bones.

Here’s a fun puzzle! It’s a maze with no walls. So what’s keeping you on track? Well, this maze is made of arrows – it’s an arrow maze!

Check out this trick! By colouring in boxes, you can make a strange blobby picture that transforms when reflected in a curvy mirror!

The measurements in this recipe are in non-metric units. You will need to change them into metric before you can make the recipe!

Pizzas come in a range of sizes. If you’ve ever wondered whether to get one big or two small pizzas, this experiment might be able to help!