"Traditional, mental tests": The comma after "Traditional" is unnecessary.
Corrected: Traditional mental tests
"acquiring skills and knowledge, particularly those that have been explicitness taught.": "Explicitness" should be the adverb "explicitly" to modify the verb "taught".
Corrected: explicitly taught
"few states for high school graduation": It should be "a few states" or "some states" because it's talking about more than one state, and "few" has a negative connotation (almost none). If the intention was to emphasize how rare it is, "few" could be used with more context, but "some" or "a few" is more likely. I'll correct it to "some".
Corrected: some states
"but knowledge.": This creates an incomplete sentence. It should be "and knowledge" to contrast with "skills" or "or knowledge" to offer an alternative. Given the context of aptitude tests measuring the ability to acquire new skills and knowledge, "and" is the appropriate choice.
Corrected: and knowledge
"you would do better like a mechanic or musician.": "Like" should be "as" when comparing roles or professions.
Corrected: as a mechanic or musician
"they assumption some sort of past learning": "Assumption" should be the verb "assume" because it's the main verb of the clause.
Corrected: they assume
"with certainly objects, words, or situations.": "Certainly" should be "certain" to modify the nouns "objects, words, or situations".
Corrected: with certain objects, words, or situations
"The difference between achievement and aptitude tests is the degree and intention use.": This is grammatically incorrect. It should be "the degree and intended use" or "the degree and the intention of use". "Intended use" is more concise and natural.
Corrected: the degree and intended use
The repeated use of "use" at the end of the previous sentence is not wrong grammatically but it is repetitious and sounds awkward. It's better to rephrase it slightly.
Corrected: The difference between achievement and aptitude tests lies in their degree and intended use.
The word "use" is used again in the previous sentence. It's best to rephrase for flow.
Corrected: The difference between achievement and aptitude tests lies in their degree and intended use.