The symptoms vary quite a bit. Not all children or adults with ADHD are actually "hyperactive" or "impulsive".
As I see it, if the child is experiencing some type of difficulties in the classroom setting or at home then getting to the bottom of the problem will only be in the best interest of the child in the longterm. I would guess that's why school is organizing the Connor's Test. There are also a number of other conditions which may cause children to have attention difficulties.
http://psychcentral.com/lib/symptoms...adhd/0001200/2
Inattentive type ADHD
from
Symptoms of Attention Deficit Hyperactivity Disorder (ADHD)
By John M. Grohol, Psy.D.
http://psychcentral.com/lib/symptoms...r-adhd/0001200
Executive Dysfunction
http://www.tourettesyndrome.net/diso...e-dysfunction/
There are some other links in the 'Sticky' thread at the tops of the forum threads here.
Some of those might help explain a little more for you as well.
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