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Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

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Interstellar

Weekly Problem 22 - 2012
What number could replace * so that */5 is between 3 and 4?

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More or Less?

Are these estimates of physical quantities accurate?

Time to Evolve

Stage: 4 Challenge Level: Challenge Level:1

Estimate lifespan and time to first offspring from those for the modern day equivalent creature.

Think about the point in the lifespan of a descendant at which the next descendant might have been produced.

Don't forget that this is an exercise in estimation and approximation: there is no 'right' answer, so try to put sensible guesses in the table.