Tim, the game was called Mousetrap, and I think you're trying to say "Rube Goldberg" contraption. I, too, had that game, although I believe we actually played it as a game only once. The rest of the time we would just set it up and activate it.
Of course, we were big on Lincoln Logs, Tinker Toys, LEGOs and Erector Sets back then.
Which, of all our toys from the dimply-rembered past, most of which I miss to one degree or another, I recall rather fondly a set of "giant" Tinker Toys. All plastic rather than wood, where the rods were hollow tubes about an inch in diameter and one to four feet long. The spools were about eight inches in diameter, and the whole mess came in a huge cardboard crate that could hold three kids and was itself a fun toy.