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?
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?
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
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?