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Six Is the Sum
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
ABC
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Stage: 2 Challenge Level: 
Class 3 were playing a game. There were ten cards with the digits $0$ to $9$ on them.
These cards were put into a bag and players took out four cards and made a number out of them. At first they made the highest number they could. Sinita took out
 |
and made |  |
Then they made the lowest number they could. Jamie took out
 |
and made |  |
"You can't put zero at the beginning of a number," objected Paul. The class discussed this and decided that Jamie had made four hundred and fifty-seven.
Next they played to make the highest even number. Jill took out
and Vincent took out
Who won?
Then they played to make the highest odd number. Belinda took out
and Ali took out
Who won?
Next they played to make the lowest even number. Rohan took out
and Ben took out
Who won?
The last game they played was to make the closest number to $5000$. Alice took out
and Chloe took out
Who won?
NRICH is part of the family of activities in the Millennium Mathematics Project.