TEAM BATTLE 2026

Objective:

• Construct 5 arithmetic expression entries using the provided tiles, each representing a target number on the Number Board

Time Limit:

• 25 minutes

Tiles:

• Each Division E team receives one physical collection of 30 tiles, consisting of:

(A) 2 sets of number tiles: 1, 2, 3, 4, 5, 7

(B) 3 sets of basic arithmetic operator tiles: + − x ÷

(C) 3 sets of parentheses tiles: ( )

• Each Division M team receives one physical collection of 30 tiles, consisting of:

(A) 2 sets of number tiles: 1, 2, 3, 4, 5, 7

(B) 2 sets of advanced arithmetic operator tiles: + − x ÷ ! ^

(C) 3 sets of parentheses tiles: ( )

• The full collection of 30 tiles may be reused for each entry.

• Physical tile usage is optional but recommended for verifying the validity of the expressions.

Rules:

• Target number:  Target numbers are freely selected from the Number Board.  Target numbers must read left-to-right or top-to-bottom and must not begin with zero.  Each target number may only be used once, regardless of starting box position.  If multiple entries with the same target number are submitted, only the first such entry will be considered valid.

• Expression construction:  Each target number must be represented by a valid arithmetic expression using a maximum of 20 tiles.  Each number tile must be used as a single-digit number.  Number tiles cannot be combined consecutively to form a multi-digit number.  Standard order of operations applies.  Parentheses tiles ( ) cannot imply multiplication.  For example, 4(2) = 8 is not allowed.

• Reserve entries:  Up to 2 additional expressions may be submitted as reserve entries.  If any of the 5 main entries are determined to be invalid, reserve entries will replace them in the order listed.  Any reserve entries not needed to replace invalid main entries will be disregarded and will not count toward the final score.

Scoring:

• Round 1 Score = (10 x D) + F - T  [sum of all valid entries]

D = number of digits in the target number

F = first digit of the target number

T = number of tiles used in the arithmetic expression

• Round 1 Rank is based on Round 1 Scores, ordered from highest to lowest, without tiebreaks.

Objective:

• Solve 3 problem sets, unscramble the 3 Keywords, and determine the Secret Number (Problems ⇒ Keywords ⇒ Secret Number).

Time Limit:

• 30 minutes

Rules:

• Each problem's answer maps to an alphabetical letter using the provided modulus-50 Translation Table.

• Each problem set produces to a group of scrambled letters that can be rearranged to form a mathematical Keyword.

• The unscrambled Keywords can be substituted into Master Statement to determine the Secret Number.

• Keywords and Secret Number may be submitted even if not every problem has been solved.

Scoring:

• • There is no penalty for incorrect or blank answers.

  • Round 2 Score = (2 x P) + (3 x K) + (4 x S)

P = number of correct problems

K = number of correct Keywords

S = correct Secret Number

• • Round 2 Rank is based on Round 2 Scores, ordered from highest to lowest, without tiebreaks.

Objective:

• Determine the missing values across 3 groups of interconnected sequences

Time Limit:

• 25 minutes

Rules:

• Sequences are read left-to-right or top-to-bottom.

• Overlapping squares are part of both sequences.

Scoring:

• There is no penalty for incorrect or blank answers.

• Round 3 Score = (2 x A) + (3 x B) + (4 x C)

A = number of correct Group A problems

B = number of correct Group B problems

C = number of correct Group C problems

• Round 3 Rank is based on Round 2 Scores, ordered from highest to lowest, without tiebreaks.

Objective:

• Complete a series of mission stages to determine passcodes and unlock boxes

Time Limit:

• 30 minutes

Format:

• 1. • Stage 1 = comparitive arithmetic bash

     • Stage 2 = passcode deduction

     • Stage 3 = map of primes

Scoring:

• Playoff 1 Score = fastest completion time

== TO BE UPDATED ==

Format:

Procedure:

Qualification:

• Top 8 teams with best Playoff Round 1 results are announced and invited to compete.

• Qualifying teams are assigned Seeds 1-8 according to Playoff Round 1 results.

Format:

• Team members cooperatively solve categorized problems on stage.

• Qualifying teams are divided into two groups of 4 teams (Group A: Seeds 1, 4, 5, 8 / Group B: Seeds 2, 3, 6, 7).

• Two semi-finals matches, one each for Group A and Group B, are played to determine the 4 teams advancing to the finals match.

• The highest seed team (Seed 1) decides whether Group A will play in the first or second match of the semi-finals matches.

Procedure:

• Questions are projected and read, one at a time with a 60-second limit.

• Teams may write and submit their answer at any time, once per question.  Teams cannot change answers once submitted.

• Each team starts with 4 life points.

• If a team answer incorrectly or fails to answer, that team loses one life point.

• In case of all teams answering correctly, the last team to have submitted the answer loses one life point.

• If a team reaches zero life point, that team is eliminated.  The remaining teams gain one life point each time a team is eliminated.

• If multiple teams reach zero life point at the same time, the lowest seed team is eliminated.

• Each semi-finals match continues until 2 teams remain to advance to the finals match.

• For the finals match, the 4 advancing teams are reassigned Seeds 1-4 based on the semi-finals match performance.

• Finals match continues until one team remains to be declared the champion.

• Main rankings are determined based on lowest Main Round Score.

  • • Main Round Score is calculated as the product of all three Main Round ranks.

    • For example, if a team achieves Rank 3 in Round 1, Rank 10 in Round 2, and Rank 8 in Round 3, that team’s Main Round Score is 240.

    • In case of ties, Playoff Round 1 results serve as the tiebreaker.

• Playoff rankings are determined based on Playoff Round 2 results.

  • • 1st-4th place teams: order of elimination in the finals match

    • semi-finalist teams: eliminated in the semi-finals matches

• Trophies are awarded to the following winners:

  • • Main: 1st-3th place teams (each Division)

• Gold Medals are awarded to the following winners:

  • • Main: 4th-7th place teams (each Division)

    • Playoff: 1st-4th place teams (overall)

• Trophy and gold medal winners are honored in the Results page.

• Silver Medals are awarded to the following Honorable Mentions:

  • • Main: top 25% teams in any Main round (each Division)

    • Playoff: semi-finalist teams (overall)

• Champions are awarded the following scholarships:

  • • Main: 1st place team (Division M) - $600

    • Playoff: 1st place (overall) - $400

• Scholarships are distributed to the recipient team coaches in cash envelopes during Award Ceremony.

• Certificate of Distinction is awarded to all winners as digital certificates delivered via email within 3-5 days after each tournament.

• Certificate of Participation is available upon request by emailing awards@mamts.org after each tournament.