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. . . .
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
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?
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.
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
Try out the lottery that is played in a far-away land. What is the chance of winning?
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?
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use Excel to investigate the effect of translations around a number grid.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
An environment that enables you to investigate tessellations of regular polygons
Use an Excel spreadsheet to explore long multiplication.
An animation that helps you understand the game of Nim.
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
An Excel spreadsheet with an investigation.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Use the interactivity or play this dice game yourself. How could you make it fair?
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 interactive Excel spreadsheet to investigate factors and multiples.
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 Excel to practise adding and subtracting fractions.
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.
Work out how to light up the single light. What's the rule?
Use Excel to explore multiplication of fractions.
A simulation of target archery practice
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 an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
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?
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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 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?
Can you fit the tangram pieces into the outline of this telephone?