Find your way through the grid starting at 2 and following these operations. What number do you end on?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

I cut this square into two different shapes. What can you say about the relationship between them?

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

There are six numbers written in five different scripts. Can you sort out which is which?

Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!

The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.

Have a look at the different ways in which the solution to this problem was expressed.

Ideas to support mathematics teachers who are committed to nurturing confident, resourceful and enthusiastic learners.