A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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

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?

Sort the houses in my street into different groups. Can you do it in any other ways?

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

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

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

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

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

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

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

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

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?

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

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 practical activity challenges you to create symmetrical designs by cutting a square into strips.

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

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?

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

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

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

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

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

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

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?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

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

An environment which simulates working with Cuisenaire rods.

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

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

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

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

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

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

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

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

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?

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?

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

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?

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