Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?

What could the half time scores have been in these Olympic hockey matches?

How many possible necklaces can you find? And how do you know you've found them all?

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

An activity centred around observations of dots and how we visualise number arrangement patterns.

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

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

Ben has five coins in his pocket. How much money might he have?

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

An environment which simulates working with Cuisenaire rods.

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.

Investigate the number of faces you can see when you arrange three cubes in different ways.

Find a great variety of ways of asking questions which make 8.

This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

Are these statements relating to odd and even numbers always true, sometimes true or never true?

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

This problem is designed to help children to learn, and to use, the two and three times tables.

Use these four dominoes to make a square that has the same number of dots on each side.

Can you place these quantities in order from smallest to largest?

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

Can you put these times on the clocks in order? You might like to arrange them in a circle.

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.