### Repeaters

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

### Big Powers

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

# Football Sum

##### Age 11 to 14 Challenge Level:

Can you find the values of the nine letters in the sum?

  FOOT
+ BALL
GAME


Can you find more than one possibility?

Can you find them all?