1 of 4http://www.isinj.com/aime/ "It is better to give than to receive - especially advice" - Mark Twain AIME Problem and Solution Sets Problems Size Solutions Size AIME Problems (1983-2011) 17.9 MB AIME Solutions (1983-2011) 27.5 MB Core Study and Review Books are the AoPS Series: AIME 6+: AIME 11+: Introduction to Counting and Probability Intermediate Counting and Probability Introduction to Number Theory Intermediate Algebra Introduction to Algebra Precalculus Introduction to Geometry Art of Problem Solving Volume 2 Art of Problem Solving Volume 1 AIME 6+ Topics (These topics will get you to 6+ on the AIME) AIME Additional Practice and Topic Questions Reference Word Problems. Chapter 6 from Problems in Almost every AIME has a traditional word problem Elementary Mathematics Mixture, Work, or Rate, Time, and Distance. Lidsky Linear and non-linear systems of equations. Equation solving, using symmetry, knowledge of basic identities, factorization, ... . Chapter 1 from A Problem Book in Algebra Krechmar Logarithms and Exponents. Basic rules and definition, base change, in combination with equation solving and algebraic identities. Chapter 1 from A Problem Book in Algebra Krechmar Quadratics, Cubics, Polynomials and Vieta's Formulas. Quadratics, Cubics and higher polynomial problems involving roots, coefficients, and Vieta's formulas. Chapter 5 (Section 3) from Problems in Higher Algebra - Faddeev Complex Numbers (Basic). Basic complex number question. Chapter 1 (Section 1 and 2) from Problems in Higher Algebra - Faddeev Arithmetic and Geometric Sequences and Series (Basic). Basic sequences and series questions generally involving arithmetic and geometric progressions and combinations. Chapter 7 - A Problem Book in Algebra Krechmar 1/26/2015 3:40 PM and Chapter 1 (Section 3 and 4) from Problems in Higher Algebra . Reference AIME 11+ Topics (Add in these to get to 11+) AIME Additional Practice and Topic Questions Reference General Plane Geometry. various other theorems. but not every year. power of a point Reference theorems. and elementary combinatorial probabiility questions occur regularly. distance of point to line.. Reference Number Theory (Middle). Altitudes. GCD. . Application of all the techniques . Basic combinatorial counting questions and the Binomial Theorem. .Faddeev 1/26/2015 3:40 PM . ellipses. Chinese Remainder Theorem. Analytic Geometry. equations of circles. Application of the most common theorems . . Elementary basic probability.. Sum of Divisors. LCM. Base Arithmetic. Angle Bisector Theorem.. Wilson's Theorems. Application of the most common theorems Pythagorean. Bisectors. .2 of 4 http://www. Reference Triangle Geometry (Basic).com/aime/ Combinatorial Counting (Basic). conditional. parabolas. geometry. Medians. Splitting. ratios and in combination with elementary triangle theorems. Add in the circle theorems.) Transversals. Stewart's Theorem.Cevians (Medians. Fermat's. Primes. unconditional. elementary diophantine equations. Reference Number Theory (Elementary)... and in combination. Reference Elementary Probability.isinj. linear congruences. Cevians.Number of Divisors. Euler's. Product of Divisors. Integer Algebra.. Reference Number Theory (Divisors). Similar Triangles. Reference Triangle Geometry (Mass Point). Equations of lines. "Revese" problems in each of these areas. Area. No holds barred. Reference AIME 15 Topics Topic AIME Additional Practice and Questions Reference Sequences and Series (Advanced). Application and knowledge of all techniques and formulas. . Polynomial problems involving roots and coefficients. Reference Trigonometric Equations and Identities. No holds barred. Newton's formulas. and in combination. area of triangle formulas. . and occur about every other year. Application and knowledge of all theorems. symmetric functions. Chapter 5 from Problems in Higher Algebra . Application of the most common theorems . . . in particular. Reference Triangle Trigonometry. dealing with recursion relations and recursive sequences. Reference Combinatorial Counting (Advanced). Chapter 1 (Section 3 and 4) from Problems in Higher Algebra . Usually involving diophantine equations. and in combination. techniques and formulas.Polynomials. Tangents.isinj. Advanced complex number question.com/aime/ hyperbolas.3 of 4 http://www... Advanced combinatorial counting. Reference Advanced Algebra ..Faddeev Combinatorial Probability. often involving PreCalculus concepts. .. Advanced sequences and series questions involving various techniques for dealing with sequences and series. involving roots of unity and understanding the geometry of complex numbers.Faddeev Advanced Polynomials. Complex Numbers (Advanced). De Moivre's Theorem. . Reference 1/26/2015 3:40 PM . Vieta's formulas..Law of Cosines. combined with elementary theorems. Combinatorial probability questions tend to be of the advanced type. Application of the sum formulas and other identities.. Chapter 7 . . Sines.. .Krechmar Advanced Number Theory..A Problem Book in Algebra . Krechmar Size 7. Please ask one of the coaches for additional study recommendations from the discs. And remember .DP 1/26/2015 3:40 PM .4 MB 250 Problems in Elementary Number Theory .Shklasrsky.be respectful to your superiors.8 MB 9.2 MB There are a large number of additional books available on Math Team Disc 1. if you have any.7 MB 3. 1 per person please. The latest revision is now available in Room 150.2 MB AIME 11+ Mathematical Problems and Puzzles from the Polish Mathematical Olympiads 21. Chentzov.isinj. Good Luck! .Sierpinski The USSR Olympiad Problem Book .4 of 4 http://www.com/aime/ Recommended Problem and Review Books Subject Book AIME 6+ Problems in Elementary Mathematics .Faddeev A Problem Book in Algebra .3 MB 3.Lidsky Problems in Higher Algebra . and Yaglom 6.