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Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

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Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

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Ladder and Cube

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

Which Is Bigger? Poster

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

This poster is based on the problem Which is Bigger.

The poster is available as a pdf.

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This poster is also available as a .png image by clicking here.