Why does my iPhone die at 40%?

I've had my iPhone 5 for about two and a half months now. Recently, it keeps shutting off at around 40%! It's really annoying as I have to charge my phone twice as much which can't be good for it! I've heard others having the same problem. Maybe from an update? I was told to let the battery completely die and then charge it but it never does completely die. After it dies at 40% I can come back 20 min later and it will turn back on to 20-30% and then shut off in another 5min. It's seriously like clock work though. I wake up, phone has 60% battery, I go for a 40min run, the phone somehow drops to 40 something % and as I enter my house to turn off my music if does. Then as soon as I plug it in and it boots up it's right at 43%?! It did it yesterday at 51%. I'm in PA and it's getting colder out so i don't know if that has something to do with it but cold weather has been around forever so I doubt they didn't account for that. Anyways sorry I wrote a book but any help is greatly appreciated!

Can i use any apple product?

I changed phones yesterday and before that i backed up my photos and stuff to icloud. On my pc is saying there's the storage but i can't pull my photos? If i can't get them back on a pc, could i stitch back to iphone and get them. Or is there a way to get them without another iphone… We do still have a ipad too

My iPhone 4S has stopped working?

Hi. My iPhone 4S stopped working last week and hasn't fixed itself yet. The symptoms of the problem are as follows:

1.it's mainly unresponsive. No apps work, they crash upon opening them
2. There's no active internet connection (3G, E, GPRS or Wi-Fi)
3. When i try to enter my password to disable 'find my iphone' it "times out" so I'm unable to do that
4.it doesn't transmit or receive signal from internet/ GSM

Things I've tried to make it work:

1. Restore, reset, hard reset
2. Sign in and out of apple ID/ icloud etc
3. Factory reset
4.re-seating the sim card

Is there anything else I can do to fix it? Plus, is it a software or hardware problem?

Specs:
iPhone 4S 16GB
GSM
Locked on O2

It has no water damage, it's never been dropped and has genuinely been taken care of properly.

Thanks for any help.

Added (1). Edit: when i try to restore it via itunes i have to turn off 'find my iphone' but it doesn't let me due to it 'timing out' (see point no.2 on the symptoms list)

Can I transfer my data from my iPhone to my iPad?

I'm thinking about buying myself an iPad because they are bigger and better to have most of my data on. I have an iPod4 but the screen is cracked and it works so slow! I also have this app on my iPhone5 called Video Star. I have lots of videos saved on the app and I have spent a lot of money on that app too. I do have iCloud and I'm wondering that if I buy myself an iPad, will I be able to transfer all my data on Video Star onto my iPad? Also how? I'm afraid of losing the app because I have lots of important videos on it and I spent lots of money buying stuff on that app.

My iPhone screen won't turn on, any

Well, I was browsing the web on my iPhone, and it just froze, and I used the "Excessive Touch" feature to lock my phone (Please note that my lock button at the top is pushed in and no longer works, so that's why I had to do so). Then, I clicked my home button to open up my lock screen, and it wouldn't appear. My screen was completely black. My phone still vibrates and rings when I receive notifications, but the screen won't turn on. Anyone have any suggestions?

Need your help.iphone5 vs lumia1020?

I'am going to buy new smart phone and I was iphone girl until nokia impressed me with 41 mp camera. So what would you buy if you were 15 years old girl and why? BTW, I love iphone apps more…

Added (1). Galaxy… Don't like it's design very much… And android is getting on my nerves too

How to know if iphone 4s in FULLY unlocked?

I recently bought an Iphone from ebay (Haven't yet received it). The seller says that the phone was locked to O2, but it was properly unlocked by O2. As soon as i receive the phone i want to make sure that it is unlocked.

I have my sim from Cyprus. If i test the sim in the phone and it works fine then it means that it is unlocked?

Or i have to actually go to cyprus and see if the phone has signal from Cypriot carrier?

Thank you in advance!

Added (1). Something else, if the phone is properly unlocked by O2 and i update it to future iOS version, will it be relocked again?

Iphone 4 button not working?

I'm out of contract on my iphone 4, use only for Wi-Fi. Today suddenly the button at the bottom of the iphone will not work to take me back to the main menu. To switch between apps I have to switch off and then back on again to get back to main menu, then if for instance i go to my mail, i then have to switch off again to get back to main menu. Is this a common problem, is it easily fixed and if anyone knows, how much would it roughly cost if fixable.