Test yourself with challenging math problems (listed on the Art of Problem Solving website http://www.artofproblemsolving.com/Forum/resources.php). Problem sources span a wide range of difficulty, and include (but aren't limited to): AMC 8/10/12, AIME, USAMO, IMO, Putnam, PEN, BMO, Pan African, Cono Sur Olympiad. Use the "Settings" menu option to choose problems sets (for example, the "AMC 8, Easier AMC 10/12" option generally has less challenging problems).
Official solutions aren't provided, but user-submitted solutions are available for most problems.
Note - this is still in beta. Please provide feedback and notify me of any bugs.
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Скриншотов доступно: Math Problem Solving (Beta)
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