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# Creating exercises: Types of questions

I always have trouble creating problem sheets so I’m trying to classify the types of exercises and problems I can use:

- Routine exercises. A routine exercise is usually a calculation or follows some given worked example. Good way to start a sheet.
- Problems. Solutions to these require more than just regurgitating some worked example or simply applying a theorem.
- Extend the theory. Prove a theorem that there has not been time for. Usually done via a set-by-step process.
- True/False or Always, Sometimes, Never. See previous post.
- Generalise a statement. Give a more general statement than in the notes say. Is it true or false?
- Create examples. Give an example of some mathematical object.
- Counter examples. Create counter examples to statements.
- Challenges. These are hardest to create but should be on the problem sheet for the strong students.

What other types of questions are there? Please leave comments below. If I get quite a few, I’ll describe them in another post.