My iPhone battery drains and heats up?

I've had my iphone 5 for about 2 months and its been all fine until yesterday. Yesterday I took my phone off charge at 8:35AM as I was leaving for college my phone was on 100%.By 11:00AM it was on 3% but i don't know how this could happen as I didn't use my phone from 8:35 until 11:00 because I was in lectures!
Then last night it took about an hour to charge from 0% to 10% and today I took my phone off charge at 9:10AM and it was on 100% I left it alone to see if my battery would drain and then by 10:50AM my phone was on 62% and I hadn't used it at all! Any one know what's wrong with it and how I can fix it? I have reset all settings but nothings really happened. I also cancel all my apps too

In short, bin it and get an andriod

to be serious it sounds like an overly charged batery, let it completly drain and charge it up fully

Maybe you left it on and if you did not shut it down it will drain

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