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

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

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!

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

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

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 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?

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.

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

An environment which simulates working with Cuisenaire rods.

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

Use the number weights to find different ways of balancing the equaliser.

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

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?

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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?

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

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

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

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

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 two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

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

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

Can you complete this jigsaw of the multiplication square?

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?

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

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.

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?

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

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

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

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

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?