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Prompt Cards

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

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.


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?

Zargon Glasses

Age 7 to 11 Challenge Level:

Why do this problem?

This problem is good for children who are confident with large numbers but need practice in finding combinations using a systematic method.

Key questions

What is the smallest number of lenses a family could need?
What is the greatest number of lenses a family could need?
How do you know you haven't got that combination already?

Possible extension

Children could investigate what would happen if some of the families have five eyes.

Possible support

It might be helpful for some children to use counters with either three or four dots on to represent the eyes.