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Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

What's special about the area of quadrilaterals drawn in a square?

Can you compare these bars with each other and express their lengths as fractions of the black bar?

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

Can you use addition and subtraction to answer these questions about real-life distances?