I think that intelligence and grade achievement are two different things as other people have mentioned. However, there is a positive correlation between the two variables. IQ tests scores are the single best predictor of academic achievement in elementary school. By definition, individuals with high IQ scores are better problem solvers than those with lower IQs. Also, the rate of learning for individuals with higher IQs is much faster than those with lower IQs. I think the ability to get good grades in high school and college is a complex phenomenon that encompasses many variables such as academic motivation, locus of control, attention span, motivation, academic engagement, Intelligence, and test taking skills.
Another interesting factor is the arbitrary nature of the grading system. Each professor, class, school ect. has different sets of expectations. An "A" in an easy class may not equal an "A" in a hard class. Likewise, an "A" for one teacher may be different from another teacher.
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