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'One Out One Under' printed from https://nrich.maths.org/
This is a three star problem so hopefully it will keep students
thinking and testing their reasoning for some while.
Working systematically helps greatly. A table of results shows a
very clear pattern, and from there the challenge is to find a way
of accounting for that pattern.
This problem offers an excellent opportunity for reasoning from the
n case to the n + 1 case.
Seeing the n case result embedded within the n + 1 starting line
up.
You may be interested to know that this problem was taken from the
book called
Maths trails
- Visualising