The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other either vertically, horizontally or diagonally.
Is it possible? If so, how many different solutions can you find?
1
2
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7
8
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Topics: Starter  Logic  Problem Solving  Puzzles
When this activity has been completed use the created arrangement of numbers to ask the following revision questions:
Now ask the students to memorise the numbers in the diagram. After a minute turn off the projector and ask questions similar to the following:
Here is a printable version: Not Too Close Questions.
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This is one possible solution:
What is special about the students numbered 1 and 8? Could they sit on any other chairs?
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Teacher, do your students have
access to computers? 

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This activity is great fun when done with real chairs, real students and real teamwork. Make eight numbered hats from strips of paper, arrange the chairs then sit back and enjoy listening to the discussion.
Other Maths activities that can be done for 'real' can be found on the People Maths page.