Hi,
I'm a primary teacher and have learned a little about Autistic spectrum disorders (including Aspergers) over the years - and I have a personal interest as I also think I would have been diagnosed autistic if diagnosis had been more common when I was at school. You may well be autistic, but equally, you may just be different, and there is nothing wrong with that - I have never been like other girls and personally I see that as a strength rather than a weakness!
If you are autistic, it is likely you will have difficulty generalising things (maybe in maths, you will learn a method for eg dividing 3 digit numbers by 1 digit numbers, but you will not easily be able to apply the same method with bigger numbers without help - this is a very specific example). You might find things like planning science tests hard (working out what to change, measure, keep the same, for example). You are likely to have a hobby that you tend to get quite obsessed with, you are likely to like order, eg collecting complete sets of things, putting things in order (alphabetised CDs) and to prefer your own company to that of crowds - I would always rather be on the edge of a crowd of people, looking in and watching what is happening, for example, rather than being in the middle of it. You are also likely to be visual and to like things written down in a logical order.
However, all of these traits would not necessarily make you autistic, and I am not by any means very knowledgable about this. Hopefully someone with much better expertise than me will come along soon.
Please be assured that you do not have to be like everyone else - you don't say how old you are, but I'm guessing you're at an age where it seems like you HAVE to fit in with everyone else - don't let that get you down, the most interesting people in life never fit in with everyone else around them!
It is also likely, if you do have some level of autism, that one of your parents passed it on to you - perhaps your mother, if she is having difficulty relating to you? That's a symptom too. Sometimes when children are diagnosed, a parent recognises the symptoms in their husband/wife too.
This test looks quite straightforward: glennrowe.net/BaronCohen/AutismSpectrumQuotient/AutismSpectrumQuotient.aspx
If you are diagnosed, by the way, it doesn't change you - just explains some behaviours (which is often more helpful for those around you) and allows you to find some strategies to cope a bit better.
Hope you find some support.