Yes Christina, it is possible to have very mild aspergers as you have described here. Quite often they will be particularly good or have a specific talent for one particular subject. Maths seems to be a favourite! It is good that your friend has been assessed as now she will get extra help. Some aspies are very loving, some have great difficulty in seeing things from others points of view. Which is what I think you are picking up on with your friend. This can be improved but takes a lot of time and patience!
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Pegasus
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“Everybody is a genius. But if you judge a fish by it's ability to climb a tree, it will live it's whole life believing that it is stupid.” - Albert Einstein