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The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.

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Tuning and Ratio

Why is the modern piano tuned using an equal tempered scale and what has this got to do with logarithms?

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Show that it is rare for a ratio of ratios to be rational.

All about Ratios

Stage: 5 Challenge Level: Challenge Level:1
Can you work out the distances?

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