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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?

Pouring the Punch Drink

Age 7 to 11 Challenge Level:

Why do this problem?

This problem requires perseverance and logical thinking. Learners may find it useful to use counters or other equipment and to develop a recording system.

Key questions

How much do you have left in the 9 litre jug if you fill the 7 litre jug? ... the 4 litre jug? ...the 2 litre jug?
How will you remember what you have tried?

Possible extension

Learners could try the Jugs of Wine problem.

Possible support

Using counters or other equipment to represent litres might help some children.