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

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

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?

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

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?

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

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.

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?

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

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

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?

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

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

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

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

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

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

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?

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

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

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

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.

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

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?

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

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

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?

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.

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

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?

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

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?

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

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.

An environment which simulates working with Cuisenaire rods.

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?

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?

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

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

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?