Separated Twins

A Maths Starter of The Day

Can you find a 14 digit number containing two each of the digits one to seven?


The two 7s are separated by seven other digits;
The two 6s are separated by six other digits;
The two 5s are separated by five other digits;
The two 4s are separated by four other digits;
The two 3s are separated by three other digits;
The two 2s are separated by two other digits;
The two 1s are separated by one other digit.

 

 

 

 

Click here for a clue to get you started

www.transum.org/go/?to=twins

 

 

 

 

 

One solution is:
4 6 3 5 7 4 3 2 6 5 2 1 7 1
Is that the only one?

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Keywords: Starter | Logic | Puzzles

  • 9k1, Kettlethorpe High School
  • Monday, September 18, 2006
  • "other answers
    46357432652171
    23726351417654
    72632453764151
    72452634753161"
  • Transum,
  • Tuesday, September 19, 2006
  • "Well done 9k1, Kettlethorpe High School. I wonder if that is all possible answers?"
  • *Mrs. Peacock, Downe House School and Kennet School
  • Monday, October 02, 2006
  • "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."
  • Sohana, Gateway Academy
  • Tuesday, September 18, 2007
  • "Students found 47364352762151."
  • Lana, Lindsworth North, Birmingham, UK
  • Tuesday, September 18, 2007
  • "We found another solution: 17126425374635 (Which is also my phone number!)"
  • Mr Smith, Durrington High School, Worthing
  • Wednesday, September 19, 2007
  • "Starter of the day 18th September. Other possible answers which class 11Y1 found are:
    73625324765141
    17126425374635"
  • Chloe Beames, Broadoak W-s-M
  • Thursday, September 20, 2007
  • "I found 45671415362732."
  • Sam Yr 8, Broadoak Weston-Super-Mare
  • Thursday, September 20, 2007
  • "I found this one 26721514637543 and 34573641512762"
  • Mr Hamshaw-Hart, Beverley Grammar School
  • Friday, September 21, 2007
  • "Year 11 top set also found 57263254376141 and 71416354732652"
  • Miss K Smith, Wildern School
  • Friday, November 02, 2007
  • "My Year 11m1 class found one solution 52462754316137. They thought it was silly but actually all had a go."
  • 8H1, Helenswood School
  • Thursday, September 18, 2008
  • "15173465324726"
  • Wednesfield High, JSS
  • Thursday, September 18, 2008
  • "Our Year 8 students discovered this solution to separated twins
    16172452634753"
  • Wednesfield High School, JSS
  • Thursday, September 18, 2008
  • "Top set year 9 got 2 solutions
    73625324765141
    71316435724625"
  • Ross West & Friends, Sleaford
  • Friday, September 19, 2008
  • "We got 76543121726435, from Y11 at St.George's, Sleaford."
  • Curtis, 7
  • Monday, September 22, 2008
  • "Other Solutions

    61517346532472

    41617435263275

    41716425327635"
  • Sevgi, London
  • Wednesday, September 24, 2008
  • "Another solution:
    73625324765141"
  • Harrytown High School, 9A2
  • Wednesday, September 16, 2009
  • "46357432652171 Adrien Parry
    35743625427161 Ross Scrivener and Charlotte Bailey
    73625324765141 Antoine Parry
    these all work backwards too!"
  • Mr Ian Rowe, United Kingdom
  • Friday, September 18, 2009
  • "Year 11 class at Royal Alexandra and Albert School, UK, with the help of James got 34673245261715."
  • 8X3, MSJ
  • Thursday, October 22, 2009
  • "Twintastic. This really got the group thinking and Billy really enjoyed it. Jamie was the first to solve the problem."

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This starter has scored a mean of 3.9 out of 5 based on 13 votes.
 

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