No spark, how do I troubleshoot?

[littleredhen]

I recently bought a used chinese 2 stroke scooter. It wasn't running when I got it and I thought it might be a fun project for my son and I to work on. I know nothing about scooters but I'm trying to learn. We were able to get the engine to turn over a couple times by kick-starting but it quickly died. Using the push button start we get the rrrrr rrrrr rrrr noise but no turn over. I took the spark plug out, touched it to the engine and tried to start it and saw no spark. I replaced the coil and battery, no spark. I thought maybe the CDI? Is there a better way to troubleshoot this without systematically replacing parts? Thank you for your help!

[90GTVert]

Disconnect the pickup coil's connectors. Using a multimeter set to ohmx100, probe the white/red wire with + and the white/blue with - . It should read 248 - 372.

Disconnect the magnetp's connector. Using a multimeter set to ohmx100, put the + lead on black/red and the - probe on green/white. It should read 640 - 960.

Make sure your kill switch is not on. Make sure everyhting is hooked up.

I don't know of a way to test the CDI.

[littleredhen]

Thank you 90GTVert, I will try that