Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over...
You win if all your cards end up in the trays before you run out of cards in. . . .
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
A counter is placed in the bottom right hand corner of a grid. You
toss a coin and move the star according to the following rules: ...
What is the probability that you end up in the top left-hand. . . .
Can you work out which spinners were used to generate the frequency charts?
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?
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
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.
Discover a handy way to describe reorderings and solve our anagram
in the process.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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. . . .
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
An environment that enables you to investigate tessellations of
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Could games evolve by natural selection? Take part in this web experiment to find out!
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Match the cards of the same value.
Can you find all the 4-ball shuffles?
Can you beat the computer in the challenging strategy game?
Match pairs of cards so that they have equivalent ratios.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
A right-angled isosceles triangle is rotated about the centre point
of a square. What can you say about the area of the part of the
square covered by the triangle as it rotates?
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being
visible at any one time. Is it possible to reorganise these cubes
so that by dipping the large cube into a pot of paint three times
you. . . .
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
To avoid losing think of another very well known game where the
patterns of play are similar.
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Use Excel to explore multiplication of fractions.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
A metal puzzle which led to some mathematical questions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
in how many ways can you place the numbers 1, 2, 3 … 9 in the
nine regions of the Olympic Emblem (5 overlapping circles) so that
the amount in each ring is the same?
Place a red counter in the top left corner of a 4x4 array, which is
covered by 14 other smaller counters, leaving a gap in the bottom
right hand corner (HOME). What is the smallest number of moves. . . .
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use an interactive Excel spreadsheet to investigate factors and
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Balancing interactivity with springs and weights.
Here is a chance to play a fractions version of the classic
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus