Jolly Postman in a Pickle!

imageHelp the Jolly Postman sort these envelopes. The digit cards 0 to 9 are shared between them.

five envelopes with the numbers 7, 8, 13, 14 and 3 written on them (one number per envelope)

What numbers could be inside each one? Show your thinking notes and win a prize for the best thoughts and explanations!

23 thoughts on “Jolly Postman in a Pickle!

  1. 4+3=7 3+4=7 2+5=7 5+2=7 6+1=7 1+6=7.
    4+4=8 5+3=8 3+5=8 6+2=8 2+6=8 7+1=8.
    9+4=13 8+5=13 7+6=13 6+7=13 5+8=13 4+9=13.
    9+5=14 8+6=14 7+7=14 6+8=14 5+9=14.
    1+2=3 2+1=3 4-1=3 5-2=3 6-3=3.

    1. Wow Paige I think you’re the first to respond to the blog! Well done! Come and get a sticker from me tomorrow! Can I push your thinking a little further? Did you start with a strategy then change your mind or did you dive in straight away with different calculations for each envelope? Do you think now you could tell me exactly how the envelopes could be organised so no digit card is used more than once? 4+3=7 so that means 4 and 3 are in the envelope marked 7 – you can’t use them again! What then would be in the other envelopes? Mrs M

  2. 5+2=7 8-0=8 10+3=13 7+7=14 1+2=3
    0+1=7 7+1=8 9+4=13 2×7=14 8-5=3
    3=3=1=7 4+4=8 4+9=13 7×2=14 1×3=3
    7+0=7 2×4=8 7+6=13 3+11=14
    8-1=7 3+5=8 6+7=13 5+9=14
    3+4=7 5+3=8 8+5=13 9+5=14

    1. Wow ths is interesting Harry. You’ve used addition and also x. Is there any way to do it only using addition I wonder? Have you tried? Have you decided what’s in each envelope? You can only use each digit once!

  3. I think you can only use each number once. I tried different ways of aranging the cards until I found a solution. One envelope has only one card in. I will put my solution in the box.

      1. I have now found lots of different ways. Can I set you a new challenge?
        What if.. the envelopes have the numbers 10 5 15 9 6? Can you arrange the digit cards now?

  4. 1+6=7 2+5=7 3+4=7

    1+7=8 2+6=8 3+5=8 4+4=8

    1+9+3=13 2+8+3=13 3+7+3=13 4+6+3=13 5+5+3=13

    1+9+4=14 2+8+4=14 3+7+4=14 4+6+4=14 5+5+4=14

    1+2=3 1+1+1=3

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