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American Mathematics Competition 8 or AMC 8 is the first step toward International Math Olympiad in the United States (USAMO). Let's understand how to prepare for it.

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

Try this beautiful problem from area of rectangle from Singapore Math Olympiad, 2012, Junior Section. You may use sequential hints if required.

Try this beautiful problem from HANOI, 2018 based on Divisibility. You may use sequential hints to solve the problem if required.

Try this beautiful problem from Geometry: The area of the trapezoid . You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry based on Ratio of the area of circle and semi-circles.You may use sequential hints to solve the problem.

Try this beautiful problem from Algebra about Page number counting from AMC-8(2010). You may use sequential hints to solve the problem.

Try this beautiful problem from HANOI, 2018 based on Circles and points. You may use sequential hints to solve the problem.

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

Try this beautiful problem from AMC 8, 2011 based on the ratio of the area of square and circle.You may use sequential hints to solve the problem

Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.

Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

Try this beautiful Problem on geometry based on circle from AMC 10A, 2018. Problem-15. You may use sequential hints to solve the problem.

Try this beautiful Problem on Probability from AMC 10A, 2014. Problem-17, You may use sequential hints to solve the problem.

Try this beautiful Problem on Co-ordinate geometry from AMC 10A, 2018. Problem-21, You may use sequential hints to solve the problem.

Try this beautiful Problem on Algebra from AMC 10A, 2018. Problem-14, You may use sequential hints to solve the problem.

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-16. You may use sequential hints to solve the problem.

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-13. You may use sequential hints to solve the problem.

Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-23. You may use sequential hints to solve the problem.