Yes! as the chrome end is a separate part, your supposed to change them over, the ONE exhaust ends normally have the rolled up lip on them, when not fitted with a chrome end, but it may not as it's a replacement

.
The ONE exhaust has an approx 5cm diameter, the COOPER has an approx 5.5cm diameter, so if you don't have the rolled up end on just measure across with a ruler

.
Try Halfords, local accessory shops & the MINI performance places, once you know the diameter

.
No sorry! I meant sections of old pipe to slip over the end to get a better fit for the larger diameter chrome ends
