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This month:
Stage 1&2
Stage 2&3
Stage 3&4
Stage 4&5
Classical Means
Problem
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Teachers' Notes
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Hint
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Solution
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Stage: 5 Short Challenge Level:
Don't overcomplicate things: Some of the parts of the problem are very simple!
For the trickier parts you will only need pythagoras and basic trigonometry.
Don't forget to think about the result!
AM/GM inequality
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Mathematical reasoning & proof
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Geometric mean
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Stage 5 - Reviewed 2012
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epsilons
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Visualising
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Real world
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Harmonic mean
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Inequality/inequalities
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Working systematically
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Published October 2009.
Help With Mathematical Display