The most commonly-used IQ/cognitive instruments only sample a handful of dimensions of cognition, while the current premier model (Cattell-Horn-Carroll) posits nine to 16 broad abilities, and multiple dozens of narrow abilities. The only major instrument that samples more than five of the broad abilities is the WJ family, which also has some issues (I am hopeful that the WJIV cleans up some of those issues, while retaining the strengths of the III.)

For those of you who are interested, this is a brief summary of the latest iteration of the CHC model, from Dr. Kevin McGrew's webpage, the rest of which is also a fascinating read:

http://www.iapsych.com/chcv2.pdf

Note he considers achievement to be a broad ability under general intelligence.

...pronounced like the long vowel and first letter of the alphabet...