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There are some surprising patterns that can be revealed in Australian coins if you take a closer look.

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

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?

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.

There are some pretty amazing patterns lurking in nature. Do a bit of arithmetic and master the Fibonacci sequence, and then see where you can find it!

Having trouble finding a four-leafed clover? This activity explains why! If you’re getting ready for some gardening, keep this activity in the back of your mind as you marvel at Mother Nature’s mathematics.

This crafty cog activity will get your mind spinning and help you learn more about how we count. Safety: This activity uses a craft knife. Ask an adult to help.

Mario has a whole pizza that hasn’t been cut. He cuts the pizza in half, and then cuts each of those pieces in half to make four pieces. He then cuts all of those slices in half, and then those in half and so on.