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

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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

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?

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.

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

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

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

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

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

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

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

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

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

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?

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

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.

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

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

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?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

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

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

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

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

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?

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?

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

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

Can you fill in the empty boxes in the grid with the right shape and colour?

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

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?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

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?

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.

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

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

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

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

An environment which simulates working with Cuisenaire rods.

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of 3 dominoes?

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