I took a real, proctored IQ test when I was applying to a highly selective middle/high school. I remember two of the questions specifically, one where I was read a set of directions and asked how far I wound up from the starting point, and another where I was asked to rattle off as many nouns as I could in 60 seconds. How these measure IQ, I couldn't say (but I suppose they are better than SAT-style arithmetic & vocabulary questions, which only measure how much time you've spent studying).
I also remember my mother wouldn't tell me how I did because she knew that I was not likely to be a sportsmanlike about it (good result or bad). But the score isn't relevant to this discussion of whether or not IQ tests are real. They're real and I've taken one.