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# Shifting Average

The average of four numbers is 48.

If 8 is subtracted from each number, what is the average of the four new numbers?

*This problem is taken from the World Mathematics Championships*

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Age 11 to 14

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- Problem
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The average of four numbers is 48.

If 8 is subtracted from each number, what is the average of the four new numbers?

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?

You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?

This short article gives an outline of the origins of Morse code and its inventor and how the frequency of letters is reflected in the code they were given.