do I ned a new chain?

Hi I have done about 1500 miles on my Boardman. Today the chain jumped on me 3 times.
I was going up a small hill and I was in top gear powering up when all of a sudden the chain seemed to miss a sprocket and then jumped off the front chain ring. Fortunatelt no traffic around and I stopped and put the chain back on.
Second time was after coming to a standstill again in top gear and really loading on the power to get moving again.
Third time was again going uphill same as first.
Similar thing happened over the summer on my touring bike when I had a damaged chain.
I have ust looked at the chain and it seems fine. Not twisted or buckled.
Changing gear is perfect and the settings are all fine.
The only thing I can think of is that the chain is worn and under maximum tension it is jumping a tooth.
I am about to buy a new chain as it sounds something good to have in but does anybody have any other ideas?
Chris
I was going up a small hill and I was in top gear powering up when all of a sudden the chain seemed to miss a sprocket and then jumped off the front chain ring. Fortunatelt no traffic around and I stopped and put the chain back on.
Second time was after coming to a standstill again in top gear and really loading on the power to get moving again.
Third time was again going uphill same as first.
Similar thing happened over the summer on my touring bike when I had a damaged chain.
I have ust looked at the chain and it seems fine. Not twisted or buckled.
Changing gear is perfect and the settings are all fine.
The only thing I can think of is that the chain is worn and under maximum tension it is jumping a tooth.
I am about to buy a new chain as it sounds something good to have in but does anybody have any other ideas?
Chris
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Why were you in top gear powering up a hill? Grinding at <40rpm is just not sensible. Probably part of the reason why you suffered a bit of skipping.
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If you change it when it's needed, you'll get away without needing to replace the cassette.
Chris
www.dupuytrens.co.uk
Correct. As I've said in other posts, I've never listened to those who try to force you to ride over 90rpm all the time, I end up getting gassed in no time and only end up going slower, but 40rpm is probably even more ridiculous. Also, try sitting down in the seat and sit further back to get the big levers - also known as legs - moving to their full potential. Stand up if you want to sprint or are dragging yourself up in your lowest gear, but NOT for every pedal stroke as soon as the road goes uphill.
Even so Top gear is a 35+mph gear. If you've been doing it a lot, it's no wonder you've worn out the 11 or 12 sprocket, and I'd say that's probably the issue rather than a worn chain.
Unless you training for Track sprinting over gearing like that is far more damaging to equipment and knees than what benefit you'd gain.
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It doesn't take much to mash one up.
Also as you've said about maintenance or rather the lack of then this too will not help and will probably have worn both chain rings and cassette.
The "chain checker" tools are imprecise. Use a ruler (any kind) or steel tape measure.
I expect that the problem is much more likely to be caused by a stiff chain link, or out of whack indexing, or a damaged sprocket or chainring tooth.