Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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.
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 work out which spinners were used to generate the frequency charts?
A tool for generating random integers.
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 be the first to complete a row of three?
A mathematically themed crossword.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Here is a chance to play a fractions version of the classic Countdown Game.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
An environment that enables you to investigate tessellations of regular polygons
Use an Excel spreadsheet to explore long multiplication.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
The classic vector racing game brought to a screen near you.
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. . . .
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.
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?
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. . . .
Use Excel to explore multiplication of fractions.
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?
A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
Six circles around a central circle make a flower. Watch the flower as you change the radii in this circle packing. Prove that with the given ratios of the radii the petals touch and fit perfectly.
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.
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
To avoid losing think of another very well known game where the patterns of play are similar.
With red and blue beads on a circular wire; 'put a red bead between any two of the same colour and a blue between different colours then remove the original beads'. Keep repeating this. What happens?
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.
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.
How good are you at finding the formula for a number pattern ?
A weekly challenge concerning prime numbers.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
A collection of our favourite pictorial problems, one for each day of Advent.
Play a more cerebral countdown using complex numbers.
Play countdown with vectors.
A game in which players take it in turns to choose a number. Can you block your opponent?
How good are you at estimating angles?
Play countdown with matrices
Cellular is an animation that helps you make geometric sequences composed of square cells.
Practise your skills of proportional reasoning with this interactive haemocytometer.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Match the cards of the same value.
Make and prove a conjecture about the cyclic quadrilateral inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
A metal puzzle which led to some mathematical questions.
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
Can you locate these values on this interactive logarithmic scale?
Balancing interactivity with springs and weights.
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?
Can you beat the computer in the challenging strategy game?