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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

### Journeys in Numberland

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

# Half Time

##### Stage: 1 and 2 Challenge Level:

When Spain played Belgium in the preliminary round of the men's hockey competition in the 2008 Olympics, the final score was $4 - 2$.

What could the half time score have been?
Can you find all the possible half time scores?
How will you make sure you don't miss any out?

In the final of the men's hockey in the 2000 Olympics, the Netherlands played Korea.  The final score was a draw; $3 - 3$ and they had to take penalties.

Can you find all the possible half time scores for this match?