Challenge Level

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

Challenge Level

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.

Challenge Level

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 shapes?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

Watch this animation. What do you see? Can you explain why this happens?