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

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Consecutive Numbers

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

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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.

All Seated

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Mary sent us her solution:

If you add up the numbers in each row, in each column, and in each long diagonal, you always get the same answer. It's a magic square. Durer put a magic square in one of his pictures
Also, if you pick a number and look for 17 minus it, then look at other pairs that add up to 17, it's symmetrical.

The 5x5 magic square must be filled in like this (I did it one step at a time, seeing what was possible, and this was the only way that worked):

23
6 19 2 15
10
18 1 14 22
17
5 13 21 9
4
12 25 8 16
11
24 7 20 3