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.


closed as off-topic by Andreas Blass, paul garrett, Rory Daulton, Benjamin Dickman, JoeTaxpayer May 30 '15 at 0:56

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    $\begingroup$ I'm voting to close this question because it is off-topic here, but it would probably be OK at math.stackexchange . $\endgroup$ – Andreas Blass May 29 '15 at 21:20
  • $\begingroup$ The recent edit changed this question to one that is actually about math education, so I am voting to reopen. $\endgroup$ – Rory Daulton May 30 '15 at 11:53
  • $\begingroup$ What is the purpose of the test? Assessment can be formative or summative. I think it's useful to know what you intend to do with the data once you have it in order to advice. I'd be very tempted to get the students to design their own questions as a formative task. Give them protactors and rulers, can they minimize information they give in the question so that it is still answerable? If it was as a prediction for a standard exam I'd take question s from the specification papers. $\endgroup$ – Karl May 30 '15 at 13:52
  • $\begingroup$ I'd be happy to reopen this question providing it broadens its appeal to address types of assessment and their role in the classroom. I think it would be a good idea to include a doppelganger something that looks like a circle theorem question but perhaps involves something else like Pythagoras or more appropriate question. Design ing your own question s is a good too. $\endgroup$ – Karl May 30 '15 at 14:02

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.


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