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.
To avoid losing think of another very well known game where the patterns of play are similar.
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?
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
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 beat the computer in the challenging strategy game?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
A metal puzzle which led to some mathematical questions.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Practise your skills of proportional reasoning with this interactive haemocytometer.
An environment that enables you to investigate tessellations of regular polygons
Can you discover whether this is a fair game?
A collection of resources to support work on Factors and Multiples at Secondary level.
Discover a handy way to describe reorderings and solve our anagram in the process.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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 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?
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.
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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?
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?
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. . . .
Use Excel to explore multiplication of fractions.
A group of interactive resources to support work on percentages Key Stage 4.
Match the cards of the same value.
A collection of our favourite pictorial problems, one for each day of Advent.
Here is a chance to play a fractions version of the classic Countdown Game.
How good are you at estimating angles?
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.
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. . . .
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.
Use Excel to investigate the effect of translations around a number grid.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an Excel spreadsheet to explore long multiplication.
Can you find triangles on a 9-point circle? Can you work out their angles?
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Cellular is an animation that helps you make geometric sequences composed of square cells.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
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. . . .
You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.