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.
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 link. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.
Educational Technology on Amazon
GCSE Revision and PracticeWhatever exam board you use for GCSE Mathematics, this book by David Rayner remains an allround winner. With this latest edition presented in full colour and completely updated for the new GCSE(91) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade. This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the newstyle grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the runup to exams. more... #ad 
Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=June17 However it would be better to assign one of the student interactive activities below. 

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.