Try out this number trick. What happens with different starting numbers? What do you notice?

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

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

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

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

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

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?

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

How could you estimate the number of pencils/pens in these pictures?

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

This challenge is about finding the difference between numbers which have the same tens digit.

What two-digit numbers can you make with these two dice? What can't you make?

Try this matching game which will help you recognise different ways of saying the same time interval.

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

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

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

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

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

This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?

This problem looks at how one example of your choice can show something about the general structure of multiplication.

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

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

This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?

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?

You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

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.

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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

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

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?

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

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

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

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

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

My coat has three buttons. How many ways can you find to do up all the buttons?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

"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 ...?

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

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?