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

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?

Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Find all the numbers that can be made by adding the dots on two dice.

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?

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

Use the number weights to find different ways of balancing the equaliser.

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?

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Can you hang weights in the right place to make the equaliser balance?

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

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

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Here are some short problems for you to try. Talk to your friends about how you work them out.

An environment which simulates working with Cuisenaire rods.

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

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

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

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