All of the following problem sets were written by CSSMA staff members. Many of them have also appeared on our past competitions.

Core Area I: Computational Skills

Core Area II: Algebra

Core Area III: Geometry

  1. Brute Force & Pattern Recognition
  2. Computational Tricks A
  3. Computational Tricks B
  4. Easy Problems (A Speed Test)
  1. Warm-Up
  2. Rates A
  3. Rates B
  4. Proportions
  5. Transforming Equations
  6. Solving Equations (Using Tricks)
  7. Systems of Equations
  8. Algebraic Manipulations A (Radicals A)
  9. Algebraic Manipulations B (Radicals B)
  10. Algebraic Manipulations C (Other)
  11. Linear Functions
  12. Quadratics
  13. Absolute Values
  14. Sequences and Series
  15. Functional Equations
  1. Warm-Up
  2. Pythagorean Theorem
  3. Tricks in Computing Areas
  4. Basic Circle Geometry
  5. Angle Chasing
  6. Two Special Triangles
  7. Advanced Circle Geometry
  8. Coordinate Geometry
  9. 3D Geometry A
  10. 3D Geometry B
  11. Special Problem Set: Octahedral Maniac
  12. Special Points Inside a Triangle
  13. Algebraic Techniques in Geometry
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Core Area IV: Number Theory

Core Area V: Combinatorics & Probability

Core Area VI: Statistics & Miscellaneous

  1. Divisibility
  2. Remainders & Intro Modular Arithmetic
  3. GCD & LCM
  4. Properties of Divisors A
  5. Properties of Divisors B
  6. Diophantine Equations A
  7. Diophantine Equations B
  8. Special Problem Set: Recursion & Fibonacci Numbers
  9. Primes
  10. Bases
  11. Pattern Finding
  12. More Advanced Number Theory
  1. Permutations & Combinations
  2. Introductory Probability
  3. Pigeonhole Principle
  4. Constructive Counting
  5. Caseworking A
  6. Caseworking B
  7. Probability Techniques with Caseworking
  8. Patterns
  9. Recursions
  10. Conditional Probability
  11. Geometric Probability
  12. Distributions
  13. Principle of Inclusion & Exclusion
  1. Measures of Central Tendency
  2. Graphical Analysis
  3. Logic
  4. Fermi Problems