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I need to set a paper for High School Students on Mathematical Puzzles which make the use of logic, simple combinatorics and algebra. Can people provide new and innovative questions.

The questions should be preferably easy on calculations and more leaned on puzzles.The level of question can vary from Medium to Advanced, but preferably within Mathematical scope of a Senior Year High School Student (12th Grade).

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    @ThomasAndrews He means he is going to write an exam $f$or a class. "Set" is another word $f$or this used by English speakers from India. There was a similar question on this site about the word "doubt" being used for "question."2012-11-09

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You might want to visit the Art of Problem Solving's website (AOPS.org) for some great potential problems. For example, see AOPS: Resources for mathematics competitions, which you can explore further for potential problems of interest.

You also might want to check out MathForum.org's Math-problems+puzzles link; there, you'll find both problems and links to other sites with problems (including those related logic, algebra, geometry, and elementary combinatorics) of varying level of difficulty, geared for high school students.