Not Too Close!

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?

Congratulations

1

2

3

4

5

6

7

8

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Topics: Starter | Logic | Problem Solving | Puzzles

  • Stonelow Junior School, Y4H
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  • Very hard and challenging
  • Mr Hall, Light Hall School, Solihull
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  • Dear Transum,

    I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!
  • Roni Morrison And Sammy Elder, Carnoustie High School
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  • It was good because it used up half a maths lesson and we all worked as a team.
  • Margaret Maxim, 5I, BCPS
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  • I found it impossible and so did the rest of my class!
  • Mrs Traynor, Cavendish Primary School
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  • We are finding this very challenging but we enjoy the challenge!!! We have not found a solution yet!
  • Mrs Traynor, Cavendish Primary School
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  • Craig Connell, Aged 9
    Has Done it!!! Brilliant, well done Craig!
  • The Best Class Ever (8cd/m2), King Alfred's College OXON
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  • We found this starter a little challenging to start with but once we had realised that 1 and 8 were special numbers and that they had to go in the middle we found it easy !! :D.
  • Ahmar Khan, Ryburn Valley High School
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  • D.M. took 3 minutes to complete. Placed 1 and 8 in centre at start since these seats have most adjacents but 1 and 8 have only 1 consecutive each in the set.
  • Miriam Age 7, London
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  • I loved it and I did it but it was very challenging.
  • Joe R-B, 8g3
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  • Got them all in 10 min there are 4 ways.
  • Daisy, Ole And Finley., Years 5 And 6, Beckley Primary School.
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  • We really like this challenge.
    Our awnsers are:
    _2_ _2_ _7_ _7_
    685 586 314 413
    413 314 586 685
    _7_ _7_ _2_ _2_
    You need to have the numbers 2 and 7 in the highest and lowest seats, and 1 and 8 in the middle seats.
  • Fab Fives, Stamford Green Primary School
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  • We loved this challenge. At the start only Jamie got it but soon after about a third of the class got a solution and then most of us got it after we knew 8 and 1 need to go in the middle. We worked out there are 8 solutions, we think!
  • Tia Bankes, West Kirby Grammar School
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  • I found this a real brain teaser but still enjoyed the challenge.
  • Mrs Parsloe, Cadland Primary School
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  • We found this very difficult and thought it was impossible but then we saw the clue about the 1 and 8 numbers and then it took us a few seconds to get it! Nicole (aged 10) was the first!
  • Mrs Grant, Long Row Primary School
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  • Hi, My year 5/6 class found this a challenge. However two of my super children managed to find 2 different solutions in 15 minutes! We are very proud of them!!!
  • Mr Rowe, Cottingham High School
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  • Kieran got this within about 2 minutes!
  • 6N, Charnwood Primary School
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  • We did this really quickly and were waiting for the rest of our class to figure it out! Abigail and Tia. Is there a harder one?
  • Drumglass High School, Year 10
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  • Completed in 40 seconds by Chelsea, Aaron, Molly and Jason. Class captain Josh lead the way!!
  • Herman Primary, Yr 5/6
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  • We loved this challenge and managed to work out the solution in the end but we had to persevere for 45 minutes.
  • Daniel Soko, Bedwas High School.
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  • Nice and straightforward.After the first minute, it may be an idea to give a quick and evasive clew(one that was suggested by Mr Bounds was to put numbers 1 and 8 in the middle, since they had the least links with others).
    A pat on the back for Kym Price in Year 10 who achived her first combination within 50 2econds.
  • Orangutan Class, Kent
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  • We found this tricky and had to work together. We noticed a pattern with odds and evens and quickly solved it after that!
  • Mrs A Millar, St Wilfrids Primary Northwich
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  • My class did one solution in 1 minute. We have only found two solutions so far.

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This starter has scored a mean of 3.8 out of 5 based on 163 votes.


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Answers

This is one possible solution:

Not Too Close Solution

What is special about the students numbered 1 and 8? Could they sit on any other chairs?


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Student Activity


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