With older Boye Needlemaster sets you have to be careful to determine if you have large screw connector or small screw connectors. There are/were adapters to go from small cable to large needles.
There is a group over on Ravelry that talks about converting to other manufactures cables or making your own.
I like the Boye needles and found that by gluing 2mm screws/bolt into the back of the needle heads they fit the Hiya Hiya cables very nicely. The HiyaHiya cables are very flexible.
Hear Hooves think horses.