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The 3 by 3 grid has 4 lines of symmetry. How might this help?
Try shading only one square. What symmetries are possible?
Try shading 2, 3, 4, ... squares. What symmetries are now possible?
How helpful would this table be?
Lines of symmetry | ||||||
---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | ||
Shaded squares | 1 | |||||
2 | ||||||
3 | ||||||
4 |
What other rows or columns could you add to this table?
Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?