My reminders are not working

I recently bought a 5s, and since I have had it none of my reminders which are set to repeat, work. If I set a one off reminder, it works fine, but not if set to repeat. Before this phone I had a 3GS, and it had the same problem which started in August. I assumed that because the phone was old it was a fault with the phone and it was one of the reasons I finally decided to upgrade. Only to find I still have the same problem... I depend heavily on repeating reminders to stay organised and the app is really letting me down. I doubt it's an iOS 7 specific problem like some have suggested as my 3GS was iOS 6 and had the same issue.

I've also tried testing with iCloud switched on and off. Doesn't make any difference...

Any help really appreciated. I've tried looking online for a solution, but only a few people have raised this issue and no solution seems to have been found.

Cheers

Nathalie