Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

Can you make arrange Cuisenaire rods so that they make a 'spiral' with right angles at the corners?

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Why does the tower look a different size in each of these pictures?

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

Design an arrangement of display boards in the school hall which fits the requirements of different people.

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

This task requires learners to explain and help others, asking and answering questions.

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?