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

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

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

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

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

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

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

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?

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

What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.

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.

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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

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?

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

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you complete this jigsaw of the multiplication square?

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

Move just three of the circles so that the triangle faces in the opposite direction.

Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?

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

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

These interactive dominoes can be dragged around the screen.

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

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

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

Stop the Clock game for an adult and child. How can you make sure you always win this game?

Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

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

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?