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Walls

Plane 1 contains points A, B and C and plane 2 contains points A and B. Find all the points on plane 2 such that the two planes are perpendicular.

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Maximum Scattering

Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?

Cut Cube

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This problem is all about visualisation and symmetry; it might take a while to get to grips with the visualisation, and coordinates could be useful.

 

What happens when you rotate the cube about an axis through opposite vertices?