AMC 12 Number Theory Practice Exam
AMC 12 Number Theory Practice Exam
Section titled “AMC 12 Number Theory Practice Exam”Test your number theory skills with this comprehensive collection of 41 authentic AMC 12 competition problems from 2000-2023.
Format: Multiple choice questions with 5 options (A-E) Time Suggestion: 3-4 minutes per problem (~2-3 hours total) Difficulty Mix: 27 Introductory + 14 Intermediate
41 Questions
About This Exam
Section titled “About This Exam”This practice exam contains all 41 number theory problems from AMC 12 competitions (2000-2023), covering:
- Divisibility & Factorization: Prime factorization, GCD/LCM, factor counting
- Modular Arithmetic: Remainders, congruences, Chinese Remainder Theorem
- Prime Numbers: Prime testing, properties, distributions
- Number Bases: Base conversion, digit properties
- Sequences: Recurrence relations, Fibonacci-like patterns
- Diophantine Equations: Integer solutions, linear equations
- Repeating Decimals: Period length, fraction conversion
- Factorials: Trailing zeros, factorial properties
- Special Functions: Digit sums, divisor functions
Tips for Success:
- Read each problem carefully - AMC problems often have subtle details
- Eliminate obviously wrong answers first
- Use modular arithmetic to simplify calculations
- Look for patterns and symmetries
- Check your work when possible
Good luck! 🍀