Insect and Spider Identification: Need help identifying a bug/worm/larvae in our home!, 1 by LiviS

LiviS wrote:
Hi there, we live in London and found this bug on the hallway wall. My flatmate said she recently tried to eat some quite old cereal (not properly sealed) and found these worms in there also. Can anyone identify? We HAD old woolen carpets (just replaced) so I thought that might have something to do with it. Don't some common household moths love wool and maybe these are the larvae? It was about 8mm long. Any help much appreciated!

Thank you,
Olivia and Vanessa