1- Is it common to see a math MAP score of 96-98th percentile on the MAP math assessment, in a child with an FSIQ in the 110s?
I doubt this is common, but I'm only a parent and not terribly familiar with MAP scores as they aren't used in my area. I would note, however, that an FSIQ (as mentioned above) is a sum/average of subtest scores which look across many different abilities, therefore it's not an apples-to-apples comparison to look at a correlation of FSIQ vs a math achievement test.
Do you have a report from your DDs' WISC tests that shows subtest scores? If you do, and aren't concerned about listing it here, it might help you get more detailed feedback re the ability testing vs MAP scores.
2- Is it even plausible that a kindergartner would reach the 98th percentile, when she says herself that some of her classmates do more advanced maths than her (her school's average for that grade is near national average) and without "hothousing" (that I'm consciously aware of)?
I can't comment on your specific situation, as I don't have any idea what the difference is between the types of math other students in class are doing and what's tested on MAP. However... these are questions that her teacher likely has some insight on. I might also wonder if she was placed below where she's capable of being in terms of math ability classes within her classroom - that might have happened if the students were assessed at the beginning of the year, and your dd hadn't been exposed to some of the concepts other students had at that point in time. It's also possible that she's doing very well on the types of math problems that are tested in early elementary on achievement tests, where the math she'll encounter later on in school is more concept-based. It's possible to have higher ability in one vs the other, and that might be reflected in her WISC scores vs MAP scores. I hope that makes sense - I don't think I explained it very well lol!
3- Could the time (a few hours a week up until Christmas, but none in the last 5 months of the school year) I've let DD6 play on some educational apps on the iPad have brought up her MAP score, even though she hadn't seemed interested in maths otherwise?
I suspect it could.. if she was playing with math apps. I wouldn't necessarily take any meaning from that re her *ability* with respect to math calculations and concepts. If this is what happened, I suspect what it shows is that she is quite capable of learning math calculations... and the corresponding WISC subtests may be higher than the average FSIQ.
5- Does a poor performance in one area of the WPPSI-IV test bias the tester, or influence the tested, on the rest of the test? Does a high-testing sibling tested the same morning bias the tester when assessing the other sibling?
I think it would be the rare exception to find a professional tester who wasn't credible and trustworthy re scoring the WISC. Keep in mind that this is the tester's profession, and their credibility is important to their success. On the other hand, it's quite possible that variations in score could be present due to a child being tired or distracted or not cooperating, or the presence of true scatter in abilities. I'd think back through your conversations with the tester, and also look back through the reports you have from the tester to see if anything re attention or subtest score discrepancies etc was noted.
6- Is there some sort of inverse relationship between fine motor skills development and IQ?
No (I'm answering that as a math geek, not a professional psych... so take my "No" for what it's worth... essentially nothing lol!). As Portia mentioned, there are some subtests that rely on fine motor skills... however... what you usually see is a child who struggles with fine motor skills will have a lower than expected score, rather than seeing a child who has fine motor skills getting an exceptionally high subtest score - the child is still going to have some intellectual ability ceiling they will bump up against eventually with respect to that skill, no matter how amazing their fine motor skills.
My advice (again, not worth anything!) is to not over-focus on the results of the WISC (both of your dds were tested at a very young age), but instead focus on what is happening in the classroom with their academics - if things are going well, great. If there seems to be a struggle or if performance isn't what you're expecting, talk to the teacher, talk to your dd, and also look back at the WISC testing to see if you find any clues there.
And... one last note... Portia mentioned there may be a hidden struggle you're not seeing - this happened to us when our 2e kids were in early elementary. We didn't have WISC scores (or any testing) but my kids were under-performing in areas we didn't expect them to have problems because they seemed so obviously extremely capable in other areas. I spent a lot of time focusing on their strengths and thinking that the other would catch up or that they just weren't trying or that they were bored. In hindsight, I wish I'd paid closer attention to the things they *weren't* doing as well in because there were some very important clues there that made a lot of sense once we had actual IQ results.
Best wishes,
polarbear