Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

Use the interactivity or play this dice game yourself. How could you make it fair?

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

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

A tool for generating random integers.

Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.

Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .

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

A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.

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

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

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

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

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

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.

An environment that enables you to investigate tessellations of regular polygons

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?

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

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

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

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

A collection of our favourite pictorial problems, one for each day of Advent.

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

Try out the lottery that is played in a far-away land. What is the chance of winning?

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?

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?

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

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

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?

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

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

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

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory

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?

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.

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