Here is one example: F=1, O=9, T=4, B=6, A=5, L=3, G=8, M=2, E=7
How many solutions can you find?
There are 224 solutions altogether.
You can work with pencil and paper or you might want to use scrap card and make 20 cards, 2 for each digit, all the same size. Then you can try to find solutions by re-arranging 12 of the cards in a 3 by 4 array. Work systematically so you don’t keep trying the same arrangement.
Why not do this as a family group or class investigation? Put a chart on the wall and write up the new solutions as learners find them?
F=2, O=9, T=7,
B=3, A=4, L=1,
G=6, M=0, E=8
|Replace B,A,L,L here:
|Replace T, L and E here:
Now find some solutions of your own.
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This problem is adapted from the NRICH task Football Sum with permission of the University of Cambridge. All rights reserved.