Logic says that the track is moving under your feet. All you have to do is pick up your feet and put them down - you're not having to move your body along. Plus, the surface is has more spring compared to a hard track.
Practice on a treadmill would be fine as long as you time yourself here and there on the actual track to make sure you can handle it. I only say this because you're saying your test is only a mile. Plus, you can walk a mile in 15 minutes or less so 10:49 is only 27% faster - not a lot. And, you'll probably be geeked up to run for the test and blow that time out of the water!
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