A typical IQ test and the SAT (even after the change in its registered trademark name) are both tests of school-related abilities, also known as "scholastic aptitude."
Below are some quotations I have previously posted elsewhere on College Confidential by eminent scholars on mental testing on resemblance of IQ tests to scholastic aptitude tests and on the limited scope of the item content of IQ tests.
"Most authorities feel that current intelligence tests are more aptly described as 'scholastic aptitude' tests because they are so highly related to academic performance, although current use suggests that the term intelligence test is going to be with us for some time. This reservation is based not on the opinion that intelligence tests do not reflect intelligence but on the belief that there are other kinds of intelligence that are not reflected in current tests; the term intelligence is too inclusive."
Hopkins, Kenneth D. & Stanley, Julian C. (1981). Educational and Psychological Measurement and Evaluation. Englewood Cliffs, NJ: Prentice Hall, p. 364.
"There are, however, certain characteristics of age scores with which the reader should be familiar. For one thing, it is necessary to bear in mind that the true mental age as we have used it refers to the mental age on a particular intelligence test. A subject's mental age in this sense may not coincide with the age score he would make in tests of musical ability, mechanical ability, social adjustment, etc. A subject has, strictly speaking, a number of mental ages"
Terman, Lewis & Merrill, Maude (1937). Measuring Intelligence: A Guide to the Administration of the New Revised Stanford-Binet Tests of Intelligence. Boston: Houghton Mifflin, p. 25.
Newer references make much the same point. The most definitive book on this subject is the recent book by James R. Flynn.
Amazon.com: What Is Intelligence?: Beyond the Flynn Effect: James R. Flynn: Books
Everyone who thinks he understands what an IQ score means should read Flynn's book.