qkcam:
The word "Falcon" in your post suggests to me that your bike might have a Falcon brand freewheel or cassette.
See this Park tool pages:
Freewheel or cassette?
If it's a freewheel,
this is the tool for it.
If cassette, I'm not sure which tool you need, google won't tell me, but I suspect a Shimano style tool is what's called for.