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Double Digit

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?


Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

Digit Sum

What is the sum of all the digits in all the integers from one to one million?

Tis Unique

Age 11 to 14 Challenge Level:
* * 4
+ 2 8 *
* * * *

This addition sum uses all ten digits 0, 1, 2 ...9 exactly once. Find the sum and show that the one you give is the only possibility.