Download SUM 15 GAME Player A_________________ Player B

SUM 15 GAME
Player A_________________ Player B_______________
In this 2 player game, the numbers 1 through 9 are laid out. Players take turns selecting one number at a
time. Once one player selects a card, that card may not be selected again. The goal is for a player to select
any three numbers that add to 15. As you select your numbers, you must think about your cards adding
to 15 and preventing your opponent from getting 15.
1
2
3
4
5
6
7
8
9
Game results with Player A choosing first.
Game #:
1
2
3
4
5
6
7
8
9
10
9
10
9
10
9
10
Result (W/L):
Total Wins:_________
Total Losses:__________
Total Ties:__________
Winning %:__________
Game results with Player B choosing first.
Game #:
1
2
3
4
5
6
7
8
Result (W/L):
Total Wins:_________
Total Losses:__________
Total Ties:__________
Winning %:__________
Game results with Player A choosing first.
Game #:
1
2
3
4
5
6
7
8
Result (W/L):
Total Wins:_________
Total Losses:__________
Total Ties:__________
Winning %:__________
Game results with Player B choosing first.
Game #:
1
2
3
4
5
6
7
8
Result (W/L):
Total Wins:_________
Total Losses:__________
Winning %:__________
Total Ties:__________
From your Sum 15 Game gaming experience answer the following questions.
1. Is there a number that is best to select first? If so, why?
2. Is there a number that is worst to select first? If so, why?
3. What is the best strategy for this game in your opinion?
4. List all possible 3 number combinations that add to 15.
5. Which number appears the most in your list? How does this number relate to question # 1?
6. Which number appears the least in your list? How does this number relate to question # 2?
7. According to Chinese legend, the Lo-Shu is a magic square that dates
back to the fifth-century BC. The object of the Lo-Shu is to place the
numbers 1-9 into the square so that the sum of every row, column and
diagonal is equal to the same number. Solve the Magic Lo-Shu Square.
8. How does the Magic Lo-Shu Square relate to the Sum 15 Game?
Answers:
1. 5 (most # of combinations involve 5) see #4
2. 7, 3, 9, 1 (least # of combinations involve 7, 3, 9, 1) see #4
3. Start with 5
4. 9-5-1, 9-4-2, 8-6-1, 8-5-2, 8-4-3, 7-6-2, 7-5-3, 6-5-4
5. 5
6. 7, 3, 9, 1
7.
2
9
4
7
5
3
6
1
8
8. The number that appears in the most columns, rows, and diagonals is 5, hence it is in the middle.
The numbers 7, 3, 9, 1 appear in the fewest columns, rows, and diagonals, therefore they are not on
either diagonal.