2005 AMC 8 Favorite Problems

#21 – This is a good example of a counting problem masking itself as a geometry problem.  There is a very nice application of combination theory that makes it very simple:

#22 – This problem deals with analyzing the relative cost of an item.  It is actually a great example of a very real world problem.

#23 – The geometry problem combines concepts about isosceles right triangles, circles and area.  I always enjoy problems that combine multiple shapes like this:

#25 – This is one of my all-time favorite AMC 8 problems.  It always takes me a little while to grasp what turns out to be a very simple concepts about the relationship between the square and the circle:


One response to “2005 AMC 8 Favorite Problems”

  1. inn0v8r says :

    Nice work on these! I hope you keep making them. Which tool did you use to make them, if you don’t mind me asking?

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