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Intelligence is necessary for academic achievement. The more challenging the academic achievement is, the higher the IQ needed to realize it is. Of course, intelligence alone is no guarantee for academic achievement. Academic achievement entails commitment, perseverance, and availability of resources. Some people with very high IQs have no academic achievements whatsoever. Others with average IQs have made significant academic achiievements due to their perseverance, commitment, and the placement of the necessary resources at their disposal. But people with low IQs can hardly arttain academic achievements. Also, the type of academic achievement should be taken into consideration when talking about intelligence. People these days are viewed as having multiple intelligences. Some people can achieve in a certain academic field but not in another. Stories of great scientists who were poor at certain subjects at school abound.
Yes, there is a very strong relation between intelligence and a academic achievement, the student who is more intelligent may gain his academic achievement faster than others and mostly these type of student shine in future.
I agree entirely with all the previous answers. There is a direct correlation between the two. I would however caution that sometimes those who are more intelligent than their peers, recognise that fact and may have a tendency to "coast" and not reach their full potential as a result.