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. . . .
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. . . .
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.
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?
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
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?
Discover a handy way to describe reorderings and solve our anagram in the process.
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. . . .
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 moves.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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?
Can you beat the computer in the challenging strategy game?
Match the cards of the same value.
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
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.
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
To avoid losing think of another very well known game where the patterns of play are similar.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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. . . .
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?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
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?
An environment that enables you to investigate tessellations of regular polygons
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.
Match pairs of cards so that they have equivalent ratios.
A collection of resources to support work on Factors and Multiples at Secondary level.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
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?
How good are you at finding the formula for a number pattern ?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
A tool for generating random integers.
Practise your skills of proportional reasoning with this interactive haemocytometer.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Here is a chance to play a fractions version of the classic Countdown Game.
A collection of our favourite pictorial problems, one for each day of Advent.
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 of P?
An Excel spreadsheet with an investigation.
A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.
Use Excel to investigate the effect of translations around a number grid.
Use Excel to practise adding and subtracting fractions.