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

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

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.

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

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

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?

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

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

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

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

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

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

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

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

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?

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

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

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

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?

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

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

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

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?

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

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

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

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

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

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?

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?

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

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?

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

How many possible necklaces can you find? And how do you know you've found them all?

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

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

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?

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

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?

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