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?

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?

Ben has five coins in his pocket. How much money might he have?

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

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

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

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

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

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

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?

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?

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 ...?

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

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

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

Complete the squares - but be warned some are trickier than they look!

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

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

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?

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?

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?

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

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

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

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

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

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?'.

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?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

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?

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

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?

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

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?

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

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

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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

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

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?

Can you sort these triangles into three different families and explain how you did it?

Here are shadows of some 3D shapes. What shapes could have made them?

Investigate the number of faces you can see when you arrange three cubes in different ways.