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Calendar Capers

Choose any three by three square of dates on a calendar page...

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Circles Ad Infinitum

A circle is inscribed in an equilateral triangle. Smaller circles touch it and the sides of the triangle, the process continuing indefinitely. What is the sum of the areas of all the circles?

Estimating Time

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Does it make sense to use averages to see how close someone is to 10 seconds on average?

What else might you need to take into account?