Just to give a little more information on just how widespread the counterfeiting issue was [Copy/Paste from an older comment of mine]:
The old round pound coins were heavily counterfeited. This was one of the major driving forces behind the switch to the new 12-sided coins.
The Royal Mint stated, in May 2015, that around 2.55% - roughly one in 40 - of all the round pounds in circulation were fake. In May 2014, they had stated that the rate of counterfeits was 3.03% - roughly one in 33. I can't find the exact original survey article (Google links to the modern page speaking about counterfeits of the new 12-sided pound), though there are plenty of newspaper headlines from around that era repeating the statistics.
The Numista catalogue is complete for UK round pounds. You can see the official list directly on the Royal Mint, which is reflected on Numista. https://www.royalmint.com/discover/uk-coins/coin-design-and-specifications/one-pound-coin/
If you have any mis-matched years & designs - they're fakes.
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You can also see a small list of known forgeries here on Numista (Exonumia) - your specific year isn't there, though 2001 is: https://en.numista.com/catalogue/index.php?e=united-kingdom&r=&ct=exonumia&im1=&im2=&ttcf=y&cat=y&ru=&ca=6&no=&v=&i=&b=&ie=&u=&a=1990-2050&dg=&m=&f=&t=&w=&mt=&g=&se=&d=&c=&wi=&sw=
EDIT: https://assets.publishing.service.gov.uk/media/5a7f8dc6e5274a2e8ab4cdff/PU1775_cover___prelims__FINAL_.pdf
In the above report commissioned by the UK Government talking about the new one pound coin, they state in section 1.1 that the rate of forgeries had increased even higher to one in 30!