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Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain why this works.

It is obvious that we can fit four circles of diameter 1 unit in a square of side 2 without overlapping. What is the smallest square into which we can fit 3 circles of diameter 1 unit?

How many hexagons are required for the perimeter of the whole shape to have length 1002cm?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

How much of the square is coloured blue? How will the pattern continue?

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

Given a regular pentagon, can you find the distance between two non-adjacent vertices?

Are these statements relating to odd and even numbers always true, sometimes true or never true?