I run a monthly school-wide puzzle contest that I call Outside The Box. I’ve crafted a riddle for Nov-Dec’s OTB challenge. Some of you will recognize the important idea at work here. If you, interested reader, would like to participate, contact me with an answer and I will physically mail you something sweet!
Here’s the OTB Challenge I posted for Nov-Dec:
Last month the Toronto Waterfront Marathon, a 42km marathon, was held. It had approximately 4000 participants.
Assume that it had way more participants, say 50000 runners, who all made it to the finish line. Would you be able to say, with absolute certainty, that at least two runners took the exact same number of strides to get to the finish line?
Complete reasoning of your answer is required to win this challenge. (i.e. If ‘yes’, explain why. If ‘no’, explain why not.) The winner will get something chocolaty. Ties will be broken by clarity, correctness, and completeness of the given solutions. You have about a month to submit an answer, until December 18th.
I had two groups of students submit correct answers to October’s literal and spatial OTB Challenge. We’ll see how this one goes! 😀