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Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make an estimate.

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

This graph looks like a transformation of a familiar function...

How can you work out the equation of a parabola just by looking at key features of its graph?

Think about the mathematics of round robin scheduling.