Practising a mathematical skill doesn't need to be tedious... dust off your angle, algebra and adding fractions skills, and put them to good use solving this set of problems!

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Choose some fractions and add them together. Can you get close to 1?

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Can you find triangles on a 9-point circle? Can you work out their angles?

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Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

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The answer is $5x+8y$... What was the question?