1. Starter

2. Starter

3. Investigation
2 digit numbers

4. Pick three different digits
Write all the possible 2 digit numbers you can make using these 3 digits.
Add together these 2 digit numbers.
Add together the original three digits.
Divide the first total by the second total.
Repeat for different sets of three digits.

5. Try starting with just 2 digits Try starting with 4 digits What would you expect to happen with 5 digits?

6. Plenary Why does this happen? Can you explain in words?
Can you explain using algebra?