# American Invitational Mathematics Examination, AIME

American Invitational Mathematics Examination, AIME Page contains practice problems from Number Theory, Algebra, Combinatorics, Geometry and Statistics.

# American Invitational Mathematics Examinations, AIME

The students among the top 5% of the candidates who took the AMC 12, are invited to take the AIME. Cracking this Examination leads the students to the United States of America Mathematics Olympiad (USAMO).

Access the Past papers, mock tests, solutions, sequential hints and training resource for AIME I & II.

## Understand

What is AIME and How to prepare for it

# Group Class + 1-ON-1 Class + 24/7 Math Support

• Take a Mock Test for AIME I & II.
• Try online classes – group lectures and one-on-one homework classes.
• Download homework problem lists – your work will be graded.

# Mock Tests, Past Problems- Solutions with Hints

Solutions of selected Problems from American Mathematics Invitational Examinations I & II.

## Free Mock Tests

E  Mail support@cheenta.com to access the mock test,

## Free Solutions and Hints

2015 – Problem 4 – Area of Equilateral Triangle

2015- Problem 11- Perimeter of Triangle

2015- Problem 13- Trigonometry

2012- Problem 8- Solids

2012- Problem 13- Circles and Triangles

2008- Problem 2- Squares and Triangles

2008 – Problem 5 – Cones and Circle

2001 – Problem 7 – Incenter and Triangle

1999 – Problem 2 – A Parallelogram and a line

1999 – Problem 4 – Squares and Triangles

1997 – Problem 11 – Trigonometry and Greatest Integers

1995 – Problem 7 – Trigonometry and Positive Integers

1994 – Problem 10 – Right angled Triangle

1994 – Problem 12 – Length and Inequalities

## Free Solutions and Hints

2012- Problem 9- Logarithm and Equations

2012- Problem 14- Complex numbers

2009- Problem 2- Complex numbers

2008- Problem 1- Percentage

2008- Problem 3- Logic and speed

2008- Problem 4- Equations and Integers

## Free Solutions and Hints

2015- Problem 1- Number Series

2015- Problem 3- Cube of Positive Integers

2015- Problem 10- Theory of Equations

2012 – Problem 5 – Arrangement of Digits

2010 – Problem 1 –  Probability of Divisors

2000 – Problem 1 – Least Positive Integer Problem

1999 – Problem 1 – Smallest Prime problem

1999 – Problem 3 – Perfect Square Problem

1999 – Problem 9 – Function of Complex Numbers

1997 – Problem 1 – Odd & Even Integers

1997 – Problem 3 – Two & Three Digit Numbers

1995 – Problem 6 – Problem on Positive Integers

1995 – Problem 8 – GCD & Ordered Pair

1994 – Problem 13 – Complex roots and equations

1984- Problem 12- Function and Equation

## Free Solutions and Hints

2012- Problem 3- Arrangements

2010- Problem 4- Probability

2009- Problem 9- Combinations

## Free Mock Tests

E  Mail support@cheenta.com to access the mock test,

## Free Solutions and Hints

2007:  Problem 23: Area of Pinwheel

2008: Problem 23: Area of triangle and square

2008: Problem 25: Area of Circle

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

## Free Solutions and Hints

2011: Problem 13: Planes and Distance

2009: Problem 23: Quadratic Equation

2008: Problem 1: Percentage

2008: Problem 4: Equations and Integers

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

## 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

1985: Problem 13: GCD and Sequence

1984: Problem 12: Function and Symmetry

## 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

## Free Solutions and Hints

2008- Problem 3: Logic and Speed