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Have you listed the square and cube numbers between 13 and
1300?
Consider how many numbers satisfy each set of conditions:
Less than 500, square and cube
Less than 500, square and not cube
Less than 500, not square and cube?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.