Now, I think I have already addressed some areas where IQ has some reasonable success, then, I will focus in on areas that I view as problematic:
(A) IQ tests are right to time tests in certain areas, as computational speed is pertinent to intelligence. However, this is also highly limited that there is not a section that accounts for deep critical thought that occurs over very long time periods, such as the intelligence required to read a book the likes of "Gulliver's Travels" by Jonathon Swift and follow what is going on to the depth that the author intended. Or, better yet, to independently create such a story. Consider, this is truly one of the most important types of human intellect, which helps distinguish us from "calculators" (which, although very fast & powerful, are quite constrained in ability to the "rules"). A true intelligence test should be taking this into account, separate to the portions of the test that are timed
(B) Many of the questions themselves are fundamentally flawed. Psychologists are attempting to design an all encompassing intelligence test while failing to realize that they necessarily aren't the most intelligent--thus would fail at the task in ways they (very likely) are unable to foresee (or possibly even understand). Consider, some of the question are typically along the line, "Identify the pattern, determine what comes next". Now, it is quite possible that there is more than one pattern that may occur to a person of high intellect, thus delaying their computational speed score and (possibly) arriving at the "wrong" conclusion--even though the pattern identified is entirely self-consistent.
(C) Background knowledge is necessary in order to take the test, thus those unfamiliar with, for instance, particular terms or membership to a group, will necessarily do poorly on such a question, regardless of their ability to identify the relationship (or not).
(D) There are far superior ways to test for computational speed and power, although it would necessarily require education (which they are attempting to factor out of the equation). Now, an issue with not introducing this factor is that it can truly skew the results. That is, it is patently obvious that a human mind capable of doing some extremely involved triple integral in their head within a certain time constraint (i.e. while timed) is a much better indicator of their brain's computational speed & power then essentially the riddles that are often employed in IQ tests. Now, it is absurd to claim that if person (A) can do the triple integral problem but gets "tripped up" on the IQ riddle problem, while person (B) cannot not even dream of doing the triple integral prb. while flies through the IQ riddle--then, person (B) is therefore more Quantitatively intelligent/advanced (although this is the current system). Note: This is not just a hypothetical, it has famously been reported that Richard Feynman scored an IQ of 125 while a typical Physics Major is (claimed) to be IQ 133. This is an absurdity, and demonstrates a clear issue with the testing, not that Feynman somehow managed to win a Nobel in Physics for his work in QED, contribute to the Manhattan Project, ect. with an intelligence level less than a typical Physics Undergraduate--as many people actually seem to believe simply because of the authority surrounding IQ tests