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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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

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Maximum Scattering

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Walls

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

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

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

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