Next week I'm going to have my students write tested examinations. I need to give them problems such as . Where can I find these kind of problems to work on? Not only tangent and secant problems, but everything about geometry of this level.
The book Geometry for Dummies discusses this kind of problem. Here is a sample..
A companion book Geometry Workbook for Dummies includes a section with this kind of problem, with worked-out solutions.
You could just do an internet search on "Common-tangent problem" if you don't want to buy a book.
The Geometry Workbook for Dummies book has many other questions "about geometry of this level." It's not the greatest of all geometry books but it seems to meet your stated need.