battle of wits; contest of wits
teething fever; developmental fever; fever that brings with it an intellectual or psycho-developmental growth spurt
puzzle ring; wire puzzle; exercise where students link crossed hands in a circle and try working together and without letting go
having wisdom and resources; being clever and talented
wisdom and good (common sense) judgment
big heads have little wit
being too clever (for one's own good); getting done in by one's own cleverness
dissection puzzle (tangram, Sei Shonagon chie-no-ita, etc.)