Number Detective

Follow the clues to find the mystery number.

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?

(w)holy Numbers

A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?

The Thousands Game

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

Then they made the lowest number they could. Jamie took out

"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?