You may also like

problem icon

Threesomes

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

problem icon

All in the Mind

Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?

problem icon

Reflecting Squarely

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Rolling Around

Age 11 to 14 Challenge Level:

What path does the centre of the circle take as it travels along one side of the shape?

What shape will the path of the centre be as it goes round a corner?