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4th Grade · Eight Coins, One Light

Nine is old enough to be told that a question has a size — and that you can work out whether a plan can possibly work before you try it.

Full screen — no distractions

Where this goes

The ladder

The same idea, three times, roughly a year apart. This is what depth looks like from the outside.

  1. This year

    Eight coins, fake known to be lighter.

  2. Next year

    Twelve coins where you do not know whether the fake is heavy or light. The same counting argument says three weighings, and it is right.

  3. The year after

    The idea underneath: information has a size, and you can measure it before you have the answer.

What lives on the desk this year

  • A balance you built yourself
  • Identical coins and one that is not
  • Paper wide enough for an outcome tree
  • A stopwatch
  • A wall for the things you got wrong

All twelve years

A tower that has to stay up while you count to ten, at three. A proof that no list can contain the real numbers, at fifteen. Same practice, twelve sizes.

Last updated: September 2026

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