Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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. . . .
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?
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. . . .
Here is a chance to play a fractions version of the classic Countdown Game.
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. . . .
Can you be the first to complete a row of three?
To avoid losing think of another very well known game where the patterns of play are similar.
A mathematically themed crossword.
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.
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
Can you find a way to turn a rectangle into a square?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
How good are you at finding the formula for a number pattern ?
An environment that enables you to investigate tessellations of regular polygons
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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.
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?
Use Excel to explore multiplication of fractions.
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.
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.
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?
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?
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.
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?
Match the cards of the same value.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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?
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.
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. . . .
Match pairs of cards so that they have equivalent ratios.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!
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.
Play countdown with matrices
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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 environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Play a more cerebral countdown using complex numbers.
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. . . .
A group of interactive resources to support work on percentages Key Stage 4.