There are two different games that will be played, both of which are individual games. More specifics will be released soon, and information on this page may be prone to change.

Scoring for individuals

 

Individuals: 

All participants will participate in the two individual games and accumulate the scores for individual award consideration.

 

Awards:

Awards will be given to the top individuals for each grade.

GAMES

 

Game 1: One to Many

  • Timing: All players are given a contiguous time limit of 20 minutes throughout the game. 

  • Gameplay: When the game begins, four standard six-sided dice will be rolled. Ten target numbers will be generated within the ranges 1-50 (for participants in 4th grade and lower) and 1-100 (for participants older than 4th grade). All of these numbers will be released simultaneously. Contestants will have to use only the first four numbers and any operations/functions to create as many expressions as possible which evaluate to any target number. Players can hit the same target number with more than one expression to increase their score.

  • Scoring: Players score 3 points the first time they create an expression equal to a target number. If they hit the same target number with a second method, they would score 2 points instead, and similarly, they would score 1 point if they hit the same target number with a third method. If a player hits a target with yet another method, they do not score any more points. 

  • Bonus: Players score 10 additional points if they hit every target number at least once.

Game 2: Many to One

  • Timing: All players are given a contiguous time limit of 20 minutes throughout the game.

  • Gameplay: When the game begins, a single target number will be generated between the ranges 25-50 (for participants in 4th grade or lower) and 51-100 (for participants older than 4th grade). Four standard six-sided dice will be rolled a total of ten times, creating ten different sets. All sets will be released simultaneously. For each set, players must use all of the numbers contained within the set as well as any operations/functions to create the aforementioned target number. Players can hit the target number multiple times with a single set to increase their score. 

  • Scoring: Players score 3 points the first time they create an expression equal to the target number with a given set. If they hit the target number with a second method using the same set, they would score 2 points instead, and similarly, they would score 1 point if they hit the target number with a third method using the same set. If a player hits the target number with four or more methods for a single set, that player scores no points for the fourth and later expressions. 

  • Bonus: Players score 10 additional points if they hit the target number at least once with every set.

The Fine Print

  • In all games, all given numbers must be used once and only once.

  • Numbers cannot be concatenated to form a multi-digit number. For example, you cannot put together 1 and 2 to make 12.

  • Besides + - x / and (), other well-known functions are also allowed, such as exponent, root, factorial, double factorial, triangular numbers... the sky is the limit! However, defining and using your own functions is disallowed. For example, defining f(x) = 16 with a target of 16 is illegal, for obvious reasons.

  • When using exponents or similar functions which take multiple inputs, all function inputs must be either one of the provided numbers or be a result of an expression which follows the above rule.

    • Use 1, 3, 4, 5 to make 24:  5 ^ 2 - 1 x (4 - 3) (Invalid, since 2 is used as an exponent)

    • Use 2, 3, 4, 6 to make 18: 4 ^ (6 / 3) + 2 (Valid)

    • Use 1, 2, 3, 4 to make 5: 4C3 + 2 - 1 (Valid, since C is the well-known choose function, giving 4C3=4)

  • Note that square roots can be done with or without a two. However, cube roots and further roots require the number on upper left of the radical sign.

  • Numbers can be written as a subscript (ex. triangular number) or a superscript (ex. exponent).

  • Dots used to indicate decimals and overline bars used to indicate repeating decimals do not count as functions, and are disallowed.

  • Order of operations is strictly enforced! If you are unsure, use parentheses.

  • If the commutative and associative properties of a function are used to write an expression in two different ways, both methods do not count as distinct. For example, 1 + 2 and 2 + 1 would count as the same method, and (3 x 4) / 2 and (3 / 2) x 4 would also count as the same method. You need to use other operations or other functions to create distinct methods.

  • Functions or recursive functions that take one input and result in the same value does NOT count as another way. Ex. 1 + 2, sqrt(1) + 2, 1 + 2! and 1 + (2!)! do not count as distinct methods since the square root and factorial do not change the input; but 5 x 1 and 5 / 1 count as distinct methods because different operations are used. 

*In the event of ambiguity or dispute, the board of judges has the final say.

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Last updated on November 4, 2020

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