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Age 11 to 14

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A cylindrical helix is just a spiral on a cylinder, like an ordinary spring or the thread on a bolt. There are two kinds, a right-handed helix and a left-handed helix and in the case of a bolt one has to be turned clockwise to screw it down and the other anti-clockwise. If I turn a left-handed helix over (top to bottom) does it become a right handed helix? Give as simple an explanation as you can.

Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the 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.

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?