Incidentally for the bat and ball problem the way it feels to not mess it up is to install a sort of 'trap' that says 'this is a trick question, kick out to mat

Incidentally for the bat and ball problem the way it feels to not mess it up is to install a sort of 'trap' that says 'this is a trick question, kick out to mathematical thinking instead'. Which works but it's not the same as making it intuitive.