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Broad Topics > Coordinates and Coordinate Geometry > Cartesian equations of planes

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Maximum Scattering

Age 16 to 18 Challenge Level:

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

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Walls

Age 16 to 18 Challenge Level:

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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Cut Cube

Age 16 to 18 Challenge Level:

Find the shape and symmetries of the two pieces of this cut cube.