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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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More or Less?

Are these estimates of physical quantities accurate?

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Time to Evolve

How many generations would link an evolutionist to a very distant ancestor?

Interstellar

Age 14 to 16 Short Challenge Level:

Which of the following numbers could replace * so that the value of */5 lies between 3 and 4?

A) 3.2

B) 14

C) 19

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.