My laptop keeps shutting down...?

Best thing you can do is be on the safe side & save all your pictures, word documents & whatever else you have saved on there onto a memory stick. that way you know that if anything happens to your laptop you havent lost anything that you wont find again. If there was a problem with the battery it would come up on the laptop that the battery needs replacing, therefore its either the fact that the laptop is past its use by date haha, the chargers brokenn or the area the charger plugs into is broken, best thing you can do is take it to the store you bought it from or to any pc store & get someone to run a check on it, but its easier to buy a new laptop because it is old and they might not be able to fix the problem!

Get a new laptop

As with any computer -- new, old, or somewhere in-between, the mantra is backup, backup, backup. You never really know when you'll suffer a hardware failure that could put your data as risk for loss so without backups you're never guaranteed to have your stuff in a safe place. There are plenty of online services for this such as Mozy that allow you to download a client for your computer and it will automatically back up your data in the background for you whenever things are changed, added, etc. You can also use a memstick as previously described if you want to back up your data and keep it locally with you. As for your computer shutting down, given the age it could be an overheating issue. It could either be the power supply or the processor. Without proper cooling, these items will generally shut down the system to prevent damage so you may want to check your laptop's cooling fan(s) to make sure they're working properly. If not, that could be your problem.