You may also like

problem icon

Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

problem icon

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

problem icon

Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Magic Circles

Age 7 to 11 Challenge Level:

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.