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Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

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All in the Mind

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?

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Reflecting Squarely

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Keep Your Distance

Age 11 to 14 Challenge Level:

Mark four points on a flat surface so that there are only two different distances between them. One arrangement is as shown.
equilateral triangle

How many more can you find?

Are you sure that you have them all?


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