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

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

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

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

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

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?

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

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

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

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

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

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?

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?

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

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

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

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

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

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

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

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

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

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

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

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?

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

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.

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

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?

You have a set of the digits from 0 – 9. Can you arrange these in the 5 boxes to make two-digit numbers as close to the targets as possible?

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

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?

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

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

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

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

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?

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

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

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?

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?

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?

An environment which simulates working with Cuisenaire rods.