Sounds like maybe it was an IQ test. I took two of those as a child to get into a program. One was with the school counselor and the other was with a psychologist that came to the school. I remember that one part of the test has a set of cubes. The sides were painted differently in red and white. The psychologist would then show me a picture that could be made with the cubes and I had to reproduce it by placing the cubes in a specific way while they timed me. Just found it making this comment. It’s called a block design test and it’s to measure IQ.

They also asked me seemingly random trivia, such as the definitions of certain words. There were other tests for the overall IQ, but I don’t remember what they were.

I took a similar test as a kid. I think it’s just a “general cognition” battery of things, like assembling tangrams or remembering sequences of numbers and reciting in certain orders. Being able to “identify what’s missing” indicates an ability to use inductive reasoning, pattern recognition, or short-term memory to find differences between two images.

All of those kinds of tests can add up to a psychiatrist getting a better picture of what your mental state is, how you process certain information, if you process certain kinds better than others, etc.

I don’t know if they have a specific name, but I don’t believe they’re IQ tests in the traditional sense—more a way to compare you to a baseline and see how you deviate.