Math Challenge II-A & II-B

Course Description

Math Challenge II-A and Math Challenge II-B are for students who are preparing for high school math contests such as AMC 10 (MC II-A) and AMC 12 (MC II-B). Students are required to have school level knowledge in Algebra, Geometry, and Basic Number Theory and Counting and Probability up to the 10th grade level. Topics include quadratic and polynomial equations, radicals and absolute values, polygons, circles, advanced counting strategies, binomial coefficients, sequence and series, numbers and divisibility, and modular arithmetic. Math Challenge II-B covers additional topics such as complex numbers, logarithms, and trigonometry. In addition to AMC 10 and 12, MC II-A and MC II-B help students preparing for advanced MATHCOUNTS, ARML, and ZIML Junior Varsity.

MC II-A or MC II-B? There is some overlap between the two courses. We recommend students in grades 10 and lower preparing for the AMC 10 take II-A and students preparing for the AMC 12 take II-B.

Sample Topics and Problems

Math Challenge II-A has four terms, each with an associated textbook. Learn more about the topics in each term below.

Algebra

Chapter Topics

  1. Factoring Fundamentals
  2. Quadratics
  3. Problem Solving with Quadratics
  4. Advanced Factoring
  5. Solving Equations with Fractions
  6. Solving Equations with Absolute Values
  7. Solving Equations with Radicals
  8. Polynomials
  9. Problem Solving Polynomials
  10. Math Contest Review

Sample Questions




Geometry

Chapter Topics

  1. Special Angles
  2. Special Angles II
  3. Analytical Geometry
  4. Centers
  5. Areas
  6. Areas II
  7. Circles
  8. Circles II
  9. Solid Geometry
  10. Math Contest Review

Sample Questions




Combinatorics

Chapter Topics

  1. Counting Fundamentals
  2. Grouping and Spacing
  3. Stars and Bars
  4. Sets and PIE
  5. Advanced Counting
  6. Combinatorial Identities
  7. Recurrence Relations
  8. Probability Fundamentals
  9. Advanced Probability
  10. Math Contest Review

Sample Questions




Number Theory

Chapter Topics

  1. Place Values and Number Bases
  2. Divisibility, Divisors, and Multiples
  3. Problem Solving with Prime Numbers
  4. Modular Arithmetic
  5. Problem Solving with Modular Arithmetic
  6. Fundamental Theorems in Modular Arithmetic
  7. Advanced Theorems in Modular Arithmetic
  8. Diophantine Equations
  9. Solving Equations with the Floor Function
  10. Math Contest Review

Sample Questions




Math Challenge II-B has four terms, each with an associated textbook. Learn more about the topics in each term below.

Algebra

Chapter Topics

  1. Basic Factoring
  2. Quadratics
  3. Complex Numbers
  4. Complex Numbers
  5. Polynomials
  6. Adv. Factoring
  7. Solving Equations with Fractions and Absolute Values
  8. Solving Equations with Radicals
  9. Exponents/Logarithms
  10. Math Contest Review

Sample Questions




Geometry

Chapter Topics

  1. Special Angles
  2. Special Angles II
  3. Trigonometry
  4. Trigonometry II
  5. Areas
  6. Areas II
  7. Circles
  8. Circles II
  9. Solid Geometry
  10. Math Contest Review

Sample Questions




Combinatorics

Chapter Topics

  1. Counting Fundamentals
  2. Grouping and Spacing
  3. Stars and Bars
  4. Sets and PIE
  5. Advanced Counting
  6. Identities
  7. Recurrences
  8. Probability Fundamentals
  9. Advanced Probability
  10. Math Contest Review

Sample Questions




Number Theory

Chapter Topics

  1. Place Values and Number Bases
  2. Divisibility, Divisors, and Multiples
  3. Problem Solving with Primes
  4. Modular Arithmetic
  5. Problem Solving with Modular Arithmetic
  6. Fundamental Theorems in Modular Arithmetic
  7. Advanced Theorems in Modular Arithmetic
  8. Diophantine Equations
  9. Solving Equations with the Floor Function
  10. Math Contest Review

Sample Questions




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Textbooks