A game construction including a screen for shielding the activities of players from each other, a body disposed centrally of said screen and having opposite ends presented to respective players and provided with a plurality of through passageways each opening through respective opposite body ends, and a plurality of elongate playing pieces of different lengths and insertable into selected body passageways, said pieces being shorter than the passageways and of uniform diameter throughout their length, whereby they may be pushed completely through a passageway.