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?

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

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

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

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

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

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

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?

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?

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

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?

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

"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 ...?

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?

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?

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

Buzzy Bee was building a honeycomb. She decided to decorate 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.

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

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

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

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

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

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

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

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.

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

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

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

At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

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

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?

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.

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

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

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?

An environment which simulates working with Cuisenaire rods.

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

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

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?