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Floored

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

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Pie Cuts

Investigate the different ways of cutting a perfectly circular pie into equal pieces using exactly 3 cuts. The cuts have to be along chords of the circle (which might be diameters).

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Getting an Angle

How can you make an angle of 60 degrees by folding a sheet of paper twice?

Cyclic Quadrilaterals

Stage: 3 Challenge Level: Challenge Level:1

Draw lines from the centre point to the vertices of your quadrilaterals in order to construct some isosceles triangles: