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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!

### Legs Eleven

Take any four digit number. Move the first digit to the 'back of the queue' and move the rest along. Now add your two numbers. What properties do your answers always have?

# The Genie in the Jar

##### Stage: 3 Challenge Level:

A genie who lived in a large blue and white porcelain jar served his master by performing miraculous tasks.

Before the genie would carry out a request he asked his master a question that had to be answered correctly.

One day the genie posed this problem:

"This jar used to hold perfumed oil. It contained enough oil to fill granid silver bottles. Each bottle held enough to fill ozvik golden goblets and each goblet held enough to fill vaswik crystal spoons. Each day a spoonful was used to perfume the bath of a beautiful princess.

For how many days did the whole jar last?"

The genie's master replied:

"Five hundred and ninety five days."

Immediately this correct answer was given the genie flew off to do his master's bidding.

What three numbers do the genie's words "granid", "ozvik" and "vaswik' stand for?