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'Magic Circles' printed from https://nrich.maths.org/

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Why do this problem?

This problem gives pupils chance to practise addition and subtraction, but also gives opportunities for conjecturing, proving and generalising.

Key questions

Which numbers are on both the blue and red circles?
What does this tell you about the other four numbers?
What have you tried so far?

Possible extension

Encourage learners to ask their own "What if ...?" questions and to pursue answers to them.

Possible support

It might help to have a copy of the circles printed out or drawn on paper/a miniwhiteboard and for children to use digit cards to move around in the different positions.