Please forget one moment the definition of intelligence or if IQ is the right measure: how do you imagine a superintelligence in comparison with an intelligent human? I mean it is obvious that superintelligence is not, just, about processing information faster but has some structural changes and the ability to connect dots in different abstraction layers. Just guessing. I imagine that one achievement will be solving math theorems starting with math principles in the way AlphaZero achieves chess or go mastery.
My third paragraph covered that, although less intentionally than you may have wanted. I don't think you just get things that are monotonically better on the one and single "intelligence" axis. I think you get an ever-increasing number of ways to be intelligent. I can easily imagine am intelligence that is great at solving physics but rubbish at dansaeltenzing. I don't know what dansaeltenzing is... I'm not intelligent enough.
