I was wondering if these specs are good for a gaming computer?

I would like to be able to play minecraft, cod, battlefield etc…
i only have a £300 budget so i'm slightly over as this is £339.
Lenovo G500 15.6-inch Laptop - Black (Intel Core i3-3110M 2.4 GHz, 8 GB RAM, 1 TB HDD, DVDRW, Webcam, BT, Integrated Graphics, Windows 8)

thanks for your time&help…
will rate answer 5 starts.

The i3 is alright, if you weren't going to game. It probably comes with HD 4000 or 3000, which is alright for Minecraft. The 3000 can play minecraft with a celeron on low settings with a good 25FPS, so I imagine this laptop will play it on low-med settings with 10 or 15fps more. The 8GB of RAM is awesome, along with 1TB. More than enough for any game. Save up $200 or $300 more, or ask simply for money for Christmas so you can buy a desktop that is suitable for gaming. Anything more than 8GB DDR3 RAM is more than enough for gaming, if you want to video edit, thats when you buy 12GB of RAM. No game to date will use the full 12GB TruePatriot has.

If you want to play the very first COD/Battelfield's then this should play those, but BF4 or COD Advanced Warefare, it will blow up (not literally but you know what I mean.)
Also, AMD systems usually come with a more powerful integrated GPU than Intel, and they are a bit cheaper. Look for them.

The computer I game on cost 1500 dollars and has the new I7, 12 GB Ram, I think 3 GB dedicated graphics card. Personally I would like more Ram. I can play pretty much all games top graphics.

I'm just bragging but obviously that is not in your budget. To be honest I'm not sure you will be able to play the latest and greatest games with a computer like that but you can certainly do some gaming.

Get what you can afford but what computer are you on now and how much better would that new one be? I honestly think you should save and get something better unless you need it now but it appears you already have a computer.

The I3 is really dated.

You will not be able to play anything other than Minecraft (and even then, just barely) on that laptop. You will not be getting any computer with your budget that can adequately play Battlefield and COD.

Yeah, Minecraft will be about it. Dedicated graphics from Intel chips are usually pretty bad.

I'd recommend trying to find at the least a laptop with a decent AMD APU. My first computer had a A8-3500 APU in it but due to the low frequency RAM it ran fairly slow (APU's are pretty much dictated by how fast the RAM is in the system).

So, with getting a APU-based laptop (and under 300 pounds the laptop will definitely have low freq. RAM) you can just replace the RAM that came with it later (usually under $100 at least here in the states from Newegg.com for like 1866Mhz 8GB or so) and get a pretty decent gaming laptop for little money.