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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Past Problems - Topic wise

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

AMC 8 Problems, Solutions with Hints & Mock Tests

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    2000: Problem 24: Angle of Star

    2004: Problem 24: Area of Rectangle

    2004: Problem 25: Intersection of two squares

    2005: Problem 23: Area of Isosceles Triangle

    2003: Problem 21: Area of Trapezium

    2003: Problem 22: Largest Area Problem

    2002: Problem 20: Area of Trapezoid

    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 20: Semicircle

    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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    2002: Problem 23: Pattern

    2002: Problem 24: Mixture

    2002: Problem 25: Money

    2007: Problem 20: Linear Equation

    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 10: LCM & GCF

    2013: Problem 15: Powers of numbers

    2014: Problem 24: Median

    2016: Problem 20: LCM

    2018: Problem 6: Time and Distance

    2018: Problem 25: Perfect Cubes

     

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    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 22: Unit Digit

    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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    2004: Problem 21: Probability

    2004: Problem 22: Probability

    2008: Problem 14: Arrangements

    2009: Problem 13: Probability of an event

    2010: Problem 24: Probability

    2012: Problem 10: Permutation and basic counting

    2016: Problem 21: Probability

    2018: Problem 11: Probability

    2018: Problem 19: Sign Pyramid

    2019: Problem 25: Stick and Dot Method

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    AMC 10 A Problems, Solutions with Hints & Mock Tests

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      2020- Problem 12- Area of Triangle

      2019- Problem 7- Area of Triangle

      2018- Problem 9- Area of Trapezoid

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      2020- Problem 6- Average

       

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      2020- Problem 18- Parity

      2018- Problem 10- Numbers

       

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       2020- Problem 15- Probability

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      AMC 10 B Problems, Solutions with Hints & Mock Tests

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        2019- Problem 4- Coordinate Geometry

        2019- Problem 8- Area of Polygon

        2019- Problem 10- Triangle

        2011- Problem 9- Side of Triangle

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        2020- Problem 3- Ratio

        2019- Problem 4- Average

        2019- Problem 11- Ratio and Proportion

         

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        2019- Problem 12- Decimal System

        2011- Problem 11-  Pigeonhole Principle

        2003- Problem 24- Arithmetic Sequence

         

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        2020- Problem 5- Permutation

        2019- Problem 25- Recursion

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        2019- Problem 13- Mean- Median

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