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Why do this problem?

This activity is closely linked to The Pied Piper activity in that it is a problem-solving situation that requires some knowledge of numbers and their properties.

Possible approach

It would be good to withhold information that is obvious to the teacher and just present the facts as on the problem page.

Key questions

How are you doing this activity?

Possible extension

Give pupils the opportunity to invent other challenges of their own having worked out the answers.

Possible support

Calculators might be helpful for some children.