CMT — Competition Math TrainerCompetition Math Trainer CMTΣ SPEED & OLYMPIAD MATH ARENA
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Competition Tracks & Post-Beta Expansion Roadmap

Our platform begins with a laser focus on Math League Elementary Number Sense (Phase 1 Beta) and the Elementary Sprint, Target & Team Suite (Phase 2), then scales with your student into TMSCA, MOEMS, MATHCOUNTS, and MAA AMC 8 / 10 / AIME (Phase 3).

Platform Rollout Phases

Live NowPhase 1 (Current Beta): Math League Elementary Number Sense

80 questions in 10 minutes • Pure mental math • 40 drill types • On-device OCR paper grader

  • 561 original Number Sense questions + 40 verified procedural generators — written fresh by question type, never copied from competition tests.
  • Strict every-10th-question (Q10, Q20, ..., Q80) ±5% estimation rule matching official Math League & TMSCA tests.
  • 4-step photo OCR test upload & automatic Weakest-5-Types personalized training plan.
  • Family & multi-kid profiles via Supabase Auth + Instant Guest Mode with automatic history carry-over on sign-up.
Launch Number Sense →
Playable BetaPhase 2 (Elementary Full Suite): Math League Sprint, Target & Team Rounds

Complete 4-round elementary competition simulation for Grades 3–6

  • Sprint Round: 30 multiple-choice (A–E) questions in 40 minutes (+4 correct, −1 wrong, 0 blank, max 120).
  • Target Round: 8 multi-step questions delivered in 4 pairs × 6 minutes/pair with calculator support (+10/Q, max 80).
  • Team Round: 10 collaborative multi-step problems in 20 minutes with step-by-step solution breakdowns (+10/Q, max 100).
Open Elementary Rounds Hub →
Interactive PreviewPhase 3 (Post-Beta Expansion): TMSCA, MOEMS, MATHCOUNTS & MAA AMC

Seamless progression from elementary mental math to middle & high school Olympiad problem solving

  • TMSCA (Grades 4–8): Elementary & Middle School Number Sense (80Q/10m), General Math (50Q/40m, +5/−2), and Calculator Applications.
  • MOEMS (Divisions E & M, Grades 4–8): 5 monthly contests × 5 non-routine creative Olympiad problems in 30 minutes.
  • MATHCOUNTS (Grades 6–8): Chapter/State/National Sprint, Target, Team, and 45-second head-to-head Countdown Round.
  • MAA AMC 8, AMC 10 & AIME: 25Q/40m AMC 8 through 15Q/3hr integer-answer AIME.

Detailed Competition Track Specifications

Phase 1–2: Core & Elementary SuiteGrades 3–6 (Elementary)Live & Beta Playable

Math League Elementary (mathleague.org)

The four-round elementary competition format featuring high-speed Number Sense, 30-question multiple-choice Sprint, 4-pair calculator Target, and 10-question collaborative Team rounds.

Play All 4 Rounds →

Scoring Overview: Number Sense: +5/−4/0 (Max 400) • Sprint: +4/−1/0 (Max 120) • Target: +10/0 (Max 80) • Team: +10/0 (Max 100)

Round / DivisionQuestionsTimeFormatCalcScoringStatus
Number Sense
Every 10th question is a ±5% estimation problem; no scratch work allowed.
8010 minShort Answer (Mental Math Only)No+5 correct, −4 wrong or skipped before last attempted, 0 trailing blankLive
Sprint Round
Covers arithmetic, geometry, ratios, logic, and counting from easy (Q1–10) to hard (Q21–30).
3040 minMultiple Choice (A–E)No+4 correct, −1 incorrect, 0 blankBeta Expansion
Target Round
Focused multi-step problem solving with calculators permitted and no guessing penalty.
824 min4 Pairs of 2 Short-Answer Questions (6 min/pair)Yes+10 correct, 0 incorrect/blankBeta Expansion
Team Round
Cryptarithms, logic grids, Diophantine word problems, and composite geometry.
1020 minCollaborative Short Answer (up to 4 students)Yes+10 correct, 0 incorrect/blankBeta Expansion
Phase 3: Post-Beta ExpansionGrades 4–8 (Elementary & Middle School)Sample Arena Active

TMSCA Elementary & Middle School Mathematics

The premier Texas UIL/TMSCA mental math and speed problem-solving circuit. Shares the exact 80Q / 10m (+5/−4) Number Sense structure with starred (*) estimation every 10th problem, alongside General Math and Calculator Applications.

Scoring Overview: Number Sense: +5/−4/0 (Max 400) • General Math: 50Q in 40m, +5/−2/0 (Max 250) • Calculator Apps: 80Q in 30m, +5/−4/0

Round / DivisionQuestionsTimeFormatCalcScoringStatus
TMSCA Number Sense
Identical 80Q/10m +5/−4 rules; middle school papers add figurate numbers, base conversions, and modular arithmetic.
8010 minShort Answer (Mental Math in Ink)No+5 correct, −4 wrong or skipped before last attempted, 0 trailing blankSample Preview
TMSCA General Math
50-question endurance sprint covering pre-algebra, coordinate geometry, ratios, and number theory.
5040 minMultiple Choice (A–E)No+5 correct, −2 incorrect, 0 blankSample Preview
TMSCA Calculator Applications
Mixes rapid nested expressions with word problems and 2D/3D mensuration.
8030 min3-Significant-Digit Numerical & GeometryYes+5 correct, −4 wrong or skipped before last attemptedRoadmap
Phase 3: Post-Beta ExpansionDivision E (Grades 4–6) & Division M (Grades 6–8)Sample Arena Active

MOEMS (Math Olympiads for Elementary & Middle Schools)

Five monthly 5-question Olympiad contests (25 problems per season) emphasizing deep heuristics — working backwards, finding patterns, drawing diagrams, organized lists, and cryptarithms — rather than raw speed.

Scoring Overview: 5 Monthly Contests × 5 Problems in 30 Minutes • +1 point per correct problem (5 pts/contest, 25 pts/season) • No penalty for wrong answers

Round / DivisionQuestionsTimeFormatCalcScoringStatus
Division E Monthly Olympiad (Grades 4–6)
Focuses on number puzzles, spatial reasoning, logic tables, and telescoping patterns.
530 minNon-Routine Short AnswerNo+1 per correct answer, 0 wrong/blank (Max 5 per contest, 25 per year)Sample Preview
Division M Monthly Olympiad (Grades 6–8)
Extends Division E with prime factorizations, Diophantine equations, and combinatorics.
530 minNon-Routine Short AnswerNo+1 per correct answer, 0 wrong/blank (Max 5 per contest, 25 per year)Sample Preview
Phase 3: Post-Beta ExpansionGrades 6–8 (Middle School)Sample Arena Active

MATHCOUNTS Competition Series

The flagship national middle school competition (School → Chapter → State → National) featuring Sprint, Target, Team, and the high-intensity head-to-head Countdown Round.

Scoring Overview: Individual Score = Sprint (30 pts) + 2 × Target (8 × 2 = 16 pts) = 46 Max • Team Score adds 2 × Team Round (10 × 2 = 20 pts)

Round / DivisionQuestionsTimeFormatCalcScoringStatus
MATHCOUNTS Sprint Round
30 free-response questions scaling from middle-school warm-ups to national-level geometry and algebra.
3040 minFree-Response Short AnswerNo+1 point per correct answer, 0 wrong/blankSample Preview
MATHCOUNTS Target Round
Each correct Target problem is worth 2 Sprint problems in the official Individual Score.
824 min4 Pairs of 2 Free-Response Questions (6 min/pair)Yes+2 points per correct answer, 0 wrong/blankSample Preview
MATHCOUNTS Team Round
Deep multi-step synthesis problems designed for 4-student division of labor.
1020 min4-Person Collaborative Free-ResponseYes+2 points per correct answerSample Preview
MATHCOUNTS Countdown Round
Math League Number Sense speed translates directly into winning Countdown buzzer duels!
108 minHead-to-Head 45-Second Buzzer RoundNo1 point per buzzer win (first to 3 or highest of 4 questions)Roadmap
Phase 3: Post-Beta ExpansionGrades 6–12 (AMC 8: ≤ Grade 8 • AMC 10: ≤ Grade 10 • AIME: Invitational)Sample Arena Active

MAA American Mathematics Competitions (AMC 8 / AMC 10 / AIME)

The official United States national Olympiad pathway beginning with the 25-question AMC 8 for middle schoolers and progressing through the AMC 10/12 (with +6 / +1.5 blank / 0 wrong scoring) to the 3-hour AIME.

Scoring Overview: AMC 8: 25Q / 40m, +1 correct, 0 wrong/blank (Max 25) • AMC 10/12: 25Q / 75m, +6 correct, +1.5 blank, 0 wrong (Max 150) • AIME: 15Q / 180m, integer 000–999 (Max 15)

Round / DivisionQuestionsTimeFormatCalcScoringStatus
AMC 8
Ideal bridge for strong 5th–8th graders graduating from Math League Elementary & MOEMS.
2540 minMultiple Choice (A–E)No+1 correct, 0 wrong or blankSample Preview
AMC 10 / AMC 12
Top scorers qualify for the American Invitational Mathematics Examination (AIME).
2575 minMultiple Choice (A–E)No+6 correct, +1.5 blank, 0 incorrectSample Preview
AIME (American Invitational Mathematics Examination)
Three-hour deep problem-solving exam in algebra, geometry, number theory, and combinatorics.
15180 min3-Digit Integer Free-Response (000–999)No+1 correct, 0 wrong or blankSample Preview