Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?
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. . . .
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Try out the lottery that is played in a far-away land. What is the chance of winning?
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
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.
Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and multiples.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
An animation that helps you understand the game of Nim.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Use Excel to explore multiplication of fractions.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
Use Excel to investigate the effect of translations around a number grid.
Use the interactivity or play this dice game yourself. How could you make it fair?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
A simulation of target archery practice
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Can you fit the tangram pieces into the outline of this telephone?
Square It game for an adult and child. Can you come up with a way of always winning this game?
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Can you fit the tangram pieces into the outline of Little Fung at the table?