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Fill these boxes with the digits 1, 2, 3, 4, 5, 6, 7 and 8 using each digit only once, so that the expression is correct. How many different solutions can you find?
Is it possible to do this with the digits 0 to 7? What about using the digits 2 to 9?
Printable NRICH Roadshow resource.
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?