Domino hexagon
Dominic wants to place the six dominoes above in a hexagonal ring. Which of the dominoes could be placed next to the one shown?
Problem
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Suppose Dominic places his dominoes on the right into the hexagon shown below.
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How many of the other five dominoes can be placed in a completed hexagon next to
?
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If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
For any domino to go next to
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The only other domino with a 1 is
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The other dominos can all be a neighbour of
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Therefore, the possible neighbours of
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