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Plum Tree

Label this plum tree graph to make it totally magic!

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Magic W

Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.

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2-digit Square

A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

Partly Painted Cube

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

How many different ways could you paint two faces of a cube? Or three? Or four?
Can you work out a way of counting how many cubes are left unpainted in each case?