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Take a look at these recently solved problems.
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
By selecting digits for an addition grid, what targets can you make?
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?