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Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

I like to walk along the cracks of the paving stones, but not the outside edge of the path itself. How many different routes can you find for me to take?

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?

This problem explores the shapes and symmetries in some national flags.

In a town there are three supermarkets which each have a special deal on some products. If you bought all your shopping in one shop, which would be the cheapest?

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.