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'Factors and Multiples Puzzle' printed from http://nrich.maths.org/

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To try this puzzle you will need a copy of the playing board and cards. You can download a copy to print.

board
  1. Cut out the $10$ heading cards and put one in each of the $10$ spaces round the playing board.

    heading cards

  2. Cut out the $25$ number cards and place each one in a different square on the playing board so that the number satisfies the condition given by the heading card for that row and the condition given by the heading card for that column.

    number cards

    By rearranging the heading cards and the number cards, try to fill as many squares on the playing board as possible.
Can you fill all the squares on the board at once?

You can discuss a follow-up question related to this problem on the NRICH Projects site.