Providing any form of diagnosis on a forum is unwise. However, it is important to remember that even a child with ADHD can concentrate on a task they find enjoyable.
Before rushing your child off to a psychologist or psychiatrist to be diagnosed, perhaps you and the teacher could try implementing a reward system at home and at school based on the behaviours you would like to see him portray. For example, a sticker chart for completing school work and sitting quietly (one sticker per area) and another chart at home for listening etc; the stickers can then be tallied at the end of the week and a reward given depending on his performance.
If carried out consistently this can work wonders. If this or similar approaches to modify his behaviour do not yield any results, a more formal approach of psychologist may be in order.
Best of luck,
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