Page 55 - NUMINO Challenge_B1
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Type 6-1 Moving a Stone
As shown on the right, place a stone on Finish
the starting point of the 6 4 game
board. Two players take turns moving
the stone upwards or to the right. The
player to reach the finishing point first
wins. A stone can be moved to as Start
many spaces as a player wants, but the
path should be straight in only one direction.
What is the winning strategy for this game?
1 On a 2 2 game board, who is more likely to win: the first or Finish
the second player? Start
2 If the first player moves the stone one space to the right or Finish
upwards on a 3 3 game board, how can the second player Start
win? Explain.
3 By working backwards, find all the winning spaces on the given 6 4 game
board.
4 Do you need to play first or second to win? Explain the winning strategy for
this game.
52 NUMINO Challenge B1
As shown on the right, place a stone on Finish
the starting point of the 6 4 game
board. Two players take turns moving
the stone upwards or to the right. The
player to reach the finishing point first
wins. A stone can be moved to as Start
many spaces as a player wants, but the
path should be straight in only one direction.
What is the winning strategy for this game?
1 On a 2 2 game board, who is more likely to win: the first or Finish
the second player? Start
2 If the first player moves the stone one space to the right or Finish
upwards on a 3 3 game board, how can the second player Start
win? Explain.
3 By working backwards, find all the winning spaces on the given 6 4 game
board.
4 Do you need to play first or second to win? Explain the winning strategy for
this game.
52 NUMINO Challenge B1
