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
3
4
5
6
7
8
You can earn a 'Transum Trophy' for completing this activity here.
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.
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 3.6 out of 5 based on 328 votes.
Previous Day  This starter is for 17 June  Next Day
This is one possible solution:
What is special about the students numbered 1 and 8? Could they sit on any other chairs?
Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to the student version of this activity.
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.