One high-profile scam involved people being sent a text message saying "I fancy you".
It urged the person to call them back on an expensive rate phone line, but didn't make it clear who they were ringing or what the charges were.
Some people who've been targeted by text scams have reported receiving the same message up to 40 times a day.
Stopped
Lots of young people also receive loads of spam, or unwanted e-mails, from companies asking for personal details and trying to get money out of them.