American Mathematics Competitions

The first step in Maths Olympiad in the United States. Past papers, mock tests, solutions, sequential hints and training resources for AMC 8, 10, 12.

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What is AMC 8 and how to prepare for it  

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Past Problems - Topic wise

AMC 8, 10, 12- problems from past papers.

Mock Tests, Solutions with Hints

American Mathematics Competition 8 (AMC 8) - Selected solutions from Past Papers

Free Mock Tests

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    Free Solutions and Hints

    2007:  Problem 23: Area of Pinwheel

     2008: Problem 25: Area of Circle

     2008: Problem 23: Area of triangle and square

    2009: Problem 25: Total Surface Area of a Cube

     2010: Problem 23: Circles and Semi-circles

     2011: Problem 20: Area of Trapezoid

     2011: Problem 25: Area of square and circle

    2012: Problem 24: Area of Star and Circle

     2012: Problem 25: Area of Triangle and Square

     2013: Problem 24: Area of square and pentagon

    2013: Problem 25: Rolling Ball Problem 

     2014: Problem 14: Area of Trapezium

    2014: Problem 20: Circles and rectangles

     2014: Problem 25: Circumference of a semicircle

     2015: Problem 21: Hexagon and Triangle

     2015: Problem 25: Area of square

     2016: Problem 25: Radius of semicircle

     2017: Problem 25: Area of circle

     2018: Poblem 20: Area of Triangle

     2018: Problem 24: Area of cross section of cube

     2019: Problem 2: Area of Rectangle

    2019: Problem 24: Menalaus Theorem

     

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    Free Solutions and Hints

     2009: Problem 23: Quadratic Equation

     2010: Problem 2: Ratio and Proportion

    2010: Problem 21: Linear Equation

    2013: Problem 5: Mean and median calculation

     2013: Problem 15: Powers of numbers

    2014: Problem 24: Median

     2018: Problem 6: Time and Distance

     

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    Free Solutions and Hints

    2006: Problem 22: Largest and smallest numbers 

    2006:  Problem 25: Prime numbers

    2010: Problem 21: Page number counting

     2011: Problem 24: Parity

    2013: Problem 13: Representation of numbers in base 10

    2013: Problem 15: Powers of numbers

     2014: Problem 8: Test of Divisibility

     2014: Problem 21: Divisibility

    2014: Problem 23: Numbers

     2016: Problem 5: Divisibility

     2016: Problem 20: Least common multiple

     2016: Problem 24: Divisibility rule

     2017: Problem 7: Divisibility

     

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    Free Solutions and Hints

     2008: Problem 14: Arrangements

     2009: Problem 13: Probability of an event

     2010: Problem 24: Probability

     2012: Problem 10: Permutation and basic counting

     2018: Problem 11: Probability

    2018: Problem 19: Sign Pyramid

     2019: Problem 25: Stick and Dot Method

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