Archive

Many solutions can be found at the following sites:
AMC 10 AMC 12 AHSME AIME CMIMC PUMaC NYCIML

Spring 2021

JV Varsity
Lattice Paths Review
Sequences I Matrices and Geometry I
Sequences II Matrices and Geometry II
Number Theory I Set Theory I
Number Theory II Set Theory II
Area and Beyond I Number Theory I

Fall 2020

JV Varsity
Invariants Graph Theory 1
Trigonometry 1 Graph Theory 2
Trigonometry 2 Graph Theory 3
Complex Numbers Inscribed Angles 1
Polynomials Inscribed Angles 2
Review Inequalities 1
Inequalities 2
Logarithms 1 Algebraic Trigonometry 1
Logarithms 2 Algebraic Trigonometry 2
Plane Transformations 1 Recursion 1
Plane Transformations 2 Recursion 2

Summer 2020

Cycle 3
JV Varsity
Coordinate Geometry 1 & 2 Double Summation 1
Double Summation 2
Modular Arithmetic 1 Mods and Polynomials 1
Modular Arithmetic 2 Mods and Polynomials 2
Competition 3
Cycle 2
JV Varsity
Induction 1 Geometric Inequalities 1
Induction 2 Geometric Inequalities 2
Bases and Exponents 1 Markov Chains 1
Bases and Exponents 2 Markov Chains 2
Cycle 1
JV Varsity
Sequences and Series 1 Miscellaneous Combinatorics 1
Sequences and Series 2 Miscellaneous Combinatorics 2
Pigeonhole Principle 1 Graph Theory 1
Pigeonhole Principle 2 Graph Theory 2
Introduction to Online
JV Varsity
Online 1 Online 1
Online 2 Online 2

Spring 2020

Combinatorics
JV Varsity
Pascal's Triangle Advanced Counting
Counting Expected Value
Counting with Cases Generating Functions 1
Induction Generating Functions 2
Geometry
JV Varsity
Angles Similarity
Congruent Triangles Collinearity
Circles Cyclic Quadrilaterals
Similar Triangles
Mirroring Cevians

Fall 2019

Algebra
JV Varsity Advanced
Equations Equations
Polynomials Polynomials
Complex Numbers Roots of Unity
Logarithms Inequalities Functional Equations
Review Review
Number Theory
JV Varsity Advanced
Primes and Divisors Modular Inverses
Euclidean Algorithm Fermat's Little Theorem
Modular Arithmetic Systems of Modular Equations
Fermat's Little Theorem Diophantine Equations Quadratic Reciprocity

Spring 2019

Number Theory
Primes, Divisors and Modular Arithmetic
Modular Arithmetic, Euclidean Algorithm and Modular Inverses
Euclidean Algorithm, Fermat's Theorem and Euler's Theorem
Review
Modular Inverses, Chinese Remainder Theorem
Fermat's Little Theorem, Diophantines
Geometry
Angle Chsing and Similarity
Congruence
Circles
Review
Proportionality and Angle Chasing
Constructions
Additions to Figures

Fall 2018

Algebra
Polynomials
Sequences and Series
Review 1
Trig/Logs
Review 2
Combinatorics
Counting Techniques
Probability
Pigeonhole Principle
Review 1
Invariants
Review 2

Spring 2018

Probability
Probability without Counting
Expected Value and Conditional Probability
Number Theory
104 Problems Part 1
104 Problems Part 2
104 Problems Part 3
Number Theory 4
Algebra
Algebraic Manipulations
Proofs
Things that Look True
Techniques
Induction
Special Topic

Fall 2017

Algebra
Polynomials
Systems of Equations
Complex Numbers
Sequences and Series
Geometry
Angle Chasing
Length Chasing
Area Chasing
Discrete Math
Lattice Paths
Inclusion/Exclusion
Set Theory
Pigeonhole Intro Pigeonhole Exercises
Coloring

Spring 2017

Writing Proofs
Logic and Definitions I Solutions
Logic and Definitions II
The Pigeonhole Principle Solutions
The Extremal Principle Solutions
Combinatorics
Counting Techniques
Probability
Expected Value and Recursion
Markov Chains
Graph Theory
Ideas from Calculus
Asymptotic Calculus
Optimization Problems

Fall 2016

Number Theory
Modular Arithmetic Solutions
Euler's Totient Function
Integer Linear Equations
Sums of Squares
Geometry
Similar Triangles
Circles
Trigonometry
Cyclic Quadrilaterals
Functions
Trigonometric Functions
Miscellaneous Functions
Sequences and Series
Summing Series Solutions
Solving Recurrences

Spring 2016

Algebra
Solving Polynomials Solutions
Not Solving Polnomials Solutions
Complex Numbers Solutions
Arithmetic and Geometric Series Solutions
Writing Proofs
Invariants Solutions
Induction Solutions
Games Solutions
Probability
Strategies Solutions
Foundations Solutions
Random Variables Solutions

Fall 2015

Number Theory
Modular Arithmetic Solutions
Divisibility Solutions
Fermat's Little Theorem Solutions
Diophantine Equations Solutions
Geometry
The Area Method Solutions
Circles
Triangles
Coordinate Geometry Solutions
Combinatorics
Permuations and Binomials Solutions
Counting Strategies Solutions
Recursions Solutions

2014-15

Algebra
Polnomial Bases
Solving Recurrences
Generating Functions I
Generating Functions II
Combinatorics
Markov Chains
The Twelvefold Way
Chess
Geometry
Coordinate Geometry
3D Geometry
Number Theory
Divisors and Factors
Lessons from AMC

Spring 2014

Algebra
Finite Sums
Solving Recurrences
Vieta's Formulas
Proofs
Writing Proofs I
Writing Proofs II
Generating Functions
Generating Functions I
Generating Functions II

Fall 2013

Number Theory
Modular Arithmetic
Divisors
Everything Else
Combinatorics
Inclusion-Exclusion and Binomials
Induction, Pigeonhole, Brute Force
Graph Theory
Optimization
Geometry
Incidence Geometry
Circles
Triangles