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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?

X Is 5 Squares

Age 7 to 11 Challenge Level:

Why do this problem?

This problem might be a challenge for younger learners but it allows them to use and think about some of the mathematical facts that they have learned. It is wonderful for paired or group work.

Key questions

What are the possible numbers to go into the middle square?
If you put that number there what numbers are left to use?

Possible extension

Learners could be encouraged to return to the problem and to check each of the conditions against their solution so that they can prove why their solution works.

Possible support

Many children will find it helpful to use a set of digit cards from $0$ to $9$ so that they can be moved around.