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

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Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

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Football Sum

Find the values of the nine letters in the sum: FOOT + BALL = GAME

Reverse Ages

Age 11 to 14 Short Challenge Level:

On Brian's 14th birthday, his father was 41.
Brian noticed that his age was the reverse of his father's age.

How old will Brian be the next time his age is the reverse of his father's age?

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.