ARML (American Regions Mathematics League)

Grades

High school students (typically grades 9-12)

Age

No explicit age restriction; must be high school student

Citizenship

Open to U.S. students; also accepts international students from Canada, China, and South Korea

Prerequisites

Strong mathematics background; selection varies by regional organizing committee. No formal prerequisites but students must be accepted onto their regional team

Steps

1. 1. Identify your regional ARML team organizer (varies by state/region)
2. 2. Fill out regional application form (deadlines typically April-May)
3. 3. Submit payment to regional organizer (usually $300-400)
4. 4. Submit signed permission slip/parental consent
5. 5. Attend team practices (online and in-person if available)
6. 6. Travel to competition site in early June (first Saturday after Memorial Day)

Materials Needed

• Application form (regional)
• Payment (~$300-400 depending on region)
• Notarized permission slip/parental consent
• Proof of high school enrollment
• Evidence of mathematical ability (transcripts, past competition results may help)

Timeline

Applications typically due mid-April; payment due by late April; permission slips due by early May; competition held first Saturday after Memorial Day (early June). Students should begin preparing 3-6 months in advance with practice materials

Cost

$300-400 per student (varies by regional organizer; typically covers registration, housing during competition weekend, meals, transportation at venue, team shirt; excludes travel to competition site)

What Judges Look For

• Mathematical problem-solving ability across multiple domains (algebra, geometry, number theory, combinatorics, probability, inequalities)
• Speed and accuracy on timed rounds
• Ability to work collaboratively on team problems
• Deep mathematical reasoning for power question (proof-based, novel topics)
• Performance on individual round (10 pairs of problems, 10 minutes each pair)
• Relay performance (passing solutions through team members with bonuses for speed)

Scoring

Maximum 300 points: Team Round (50 pts), Power Question (50 pts), Individual Round (150 pts - 15 students × 10 pts), Relay Round (50 pts - solving in 3 minutes = 5 pts, in 6 minutes = 3 pts, done twice). Tiebreakers determine top 20 individual winners by individual round score, then speed on tiebreaker questions

Common Mistakes

• Insufficient practice with time constraints; ARML problems are harder than typical high school math
• Weak understanding of novel/proof-based topics (power question)
• Poor coordination on relay rounds due to lack of teamwork practice
• Not mastering calculus-free but sophisticated problem approaches
• Overestimating ability; ARML has extremely competitive student body
• Not attending team practices before competition
• Failing to understand power question format (multi-part, explanation-based)

Acceptance Rate

Not formally tracked; regional selection processes vary, but many states have competitive selections. For organized regional teams like 'Wild Wild West', most interested students are accepted if they apply and pay fees on time

Applicants

Approximately 1,600-1,800 students compete annually (128 teams × 15 members)

Winners / Selected

No 'winners' per se; top 20 individual scorers receive cash prizes from D.E. Shaw & Co; top team wins trophy and recognition. In 2022, 120 teams competed; 2024 had 113 teams; 2025-2026 had 128 teams

• Master problem-solving across all domains: algebra, geometry, number theory, combinatorics, probability. ARML covers broader range than typical competitions
• Practice under time constraints: Team round is 20 minutes for 10 problems; Individual round is 10 pairs with 10 minutes per pair. Speed matters
• Study power questions from past years: These are unique, novel topics requiring proofs and explanations. They require different mindset than typical competition math
• Form team early and practice together: Relay rounds require smooth handoffs and communication. Coordination is essential
• Use Art of Problem Solving (AoPS) resources: AoPS has ARML preparation materials, forums, and past problems
• Review past ARML problems (available on official website): Contest packets from 2020+ are publicly available; study these extensively
• Develop communication skills: Power question and relay require clear explanation/handoff of ideas
• Don't rely solely on individual ability: ARML is fundamentally a team competition; weak team coordination costs points
• Balance breadth and depth: Know fundamentals of all math domains plus deeper problem-solving techniques
• Attend all team practices: Regional organizers hold online and in-person practices in May; attendance strongly correlated with better performance
• Network with strong mathematicians: Regional teams often have experienced coaches; learn from them
• Start preparing 4-6 months before competition: ARML requires sustained preparation, not last-minute cramming

How to Prepare

• Months 1-2: Review fundamentals of algebra, geometry, number theory, combinatorics, probability. Take diagnostic practice test with full past ARML paper
• Months 3-4: Practice individual round problems under time pressure. Study power question formats from past competitions. Build team and begin team practices
• Months 5: Intensive practice with all four rounds. Practice relay rounds specifically with team coordination. Attend organized team practices. Fine-tune strategies based on weaknesses
• Final month: Mock competitions with full 4-round format. Practice individual tiebreaker questions for last 10 days. Mental preparation and logistics planning

Resources

• Official ARML website (arml.com, arml3.com, arml6.com): Past contest packets, results, rules
• Art of Problem Solving (AoPS): ARML-specific forums, books, online courses, past problem collections
• mathleague.org: Regional team information, practice problem sets, team organization resources
• Past ARML contest packets (publicly available from 2020 onward): Full problems, solutions, scoring
• AoPS Books: 'ARML Preparation' materials, 'Art and Craft of Problem Solving'
• Local/regional math coaches: Many states have dedicated ARML coaches who provide training
• YouTube: ARML problem walkthroughs and strategy videos from strong competitors
• Math competition forums: Art of Problem Solving forums have ARML-specific discussion threads with solutions

Time Needed

4-6 months intensive preparation (starting January-February for June competition); with background in math competitions, can reduce to 2-3 months; without competition background, may need 6-9 months

Winning ARML teams typically consist of students from highly-regarded STEM schools or competitive math programs: San Francisco Bay Area teams dominate (won 2013, 2015-2017, 2021-2023), Thomas Jefferson HS for Science and Technology (won 2018-2019), Lehigh Valley teams (won 2005, 2009-2011, 2024-2025), Phillips Exeter Academy (won 2014), and Chicago/New York City teams. Individual winners are typically students who score near-perfect on individual rounds and excel across all problem types. Many past ARML winners went on to compete at International Mathematical Olympiad (IMO) or are now mathematicians/engineers at top universities. Winning teams usually have several students with state/national math competition experience

ARML is highly respected in college admissions, particularly for STEM programs. Top universities (MIT, Caltech, Princeton, Stanford, CMU) recognize ARML as one of the most prestigious high school math competitions. Making an ARML team (especially a top-ranked regional team) demonstrates significant mathematical talent. Winning team or individual awards significantly strengthens STEM college applications. However, ARML is less well-known than AMC/AIME/USAMO among general college admissions, so should be positioned alongside other competitions. Admissions officers at top tech/math schools are very familiar with ARML and understand its prestige. ARML is better known in Northeast and among specialized STEM colleges; less recognized by liberal arts colleges or non-STEM universities

• Congressional App Challenge — Tier 3, competition
• AMC (American Mathematics Competitions) — Tier 3, competition
• National Science Bowl — Tier 3, competition
• Science Olympiad — Tier 3, competition
• MATE ROV Competition — Tier 3, competition