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Lafiel said:

on a genetic level intelligence is distributed very evenly among humans - we don't become more stupid from people that are phenotypically stupid reproducing faster, as they usually have the same genetic preposition as "intelligent" people, but they just lack the effort/upbringing/circumstances to bring that out in them

there are individuals with genetic defects/mutations/alterations that have a lower genetical base level of intelligence, but these people can very well have more intelligent offspring even if two of them are having children


But a reasonable IQ test doesn't measure what you know or even how you grow up, for instance. Studies in the Netherlands after the second world war showed there was no difference between the intelligence of those who became severily malnourished and those who don't. 

And there's a limit for your supposed genotypical / phenotypical discrepancy. It should the same as height, really. A child can be taller or smaller than it's parents, and you can get a litte better with the right upbringing, but it's often predictable where they will end up.