AMC, AIME Portal

# 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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• Take a Mock Test for AMC 8, 10, 12 or AIME.
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# Past Problems - Topic wise

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

## Free Mock Tests

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## Free Solutions and Hints

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

## Free Solutions and Hints

2002: Problem 23: Pattern

2002: Problem 24: Mixture

2002: Problem 25: Money

2007: Problem 20: Linear 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

## 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 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

## Free Solutions and Hints

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

## Free Mock Tests

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Free Solutions and Hints

2020- Problem 12- Area of Triangle

2019- Problem 7- Area of Triangle

2018- Problem 9- Area of Trapezoid

## Free Solutions and Hints

2020- Problem 6- Average

## Free Solutions and Hints

2020- Problem 18- Parity

2018- Problem 10- Numbers

## Free Solutions and Hints

2020- Problem 15- Probability

## Free Mock Tests

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Free Solutions and Hints

2019- Problem 4- Coordinate Geometry

2019- Problem 8- Area of Polygon

2019- Problem 10- Triangle

2011- Problem 9- Side of Triangle

## Free Solutions and Hints

2020- Problem 3- Ratio

2019- Problem 4- Average

2019- Problem 11- Ratio and Proportion

## Free Solutions and Hints

2019- Problem 12- Decimal System

2011- Problem 11-  Pigeonhole Principle

2003- Problem 24- Arithmetic Sequence

## Free Solutions and Hints

2020- Problem 5- Permutation

2019- Problem 25- Recursion

## Free Solutions and Hints

2019- Problem 13- Mean- Median