### Prompt Cards

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

### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### 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.

# Polo Square

##### Age 7 to 11Challenge Level

Solutions gathered by Alan after RI lecture:

 Polo total Number of distinct responses 9 2 10 6 11 10 12 13 13 10 14 5 15 12 16 8 17 3 18 3

In fact, Cecilia, Anna and David have emailed us to say that they think the above table isn't quite right.

They suggest the following:

 Polo total Number of distinct responses 9 3 10 6 11 10 12 13 13 10 14 10 15 13 16 10 17 6 18 3

They say:

It is possible that we lack some solutions, but what is absolutely certain is that the list must be symmetric since for every solution in which each row and column add N we can find a solution in which each row and column add 27-N, with the following procedure:
a b c           9-a 9-b 9-c
d   e           9-d     9-e
f g h           9-f 9-g 9-h

Thank you!