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.
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?
Prove Pythagoras' Theorem using enlargements and scale factors.
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 opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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?
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. . . .
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.
Use Excel to explore multiplication of fractions.
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.
Can you discover whether this is a fair game?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
An environment that enables you to investigate tessellations of regular polygons
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Discover a handy way to describe reorderings and solve our anagram in the process.
To avoid losing think of another very well known game where the patterns of play are similar.
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.
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.
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
How good are you at estimating angles?
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. . . .
Practise your skills of proportional reasoning with this interactive haemocytometer.
A metal puzzle which led to some mathematical questions.
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 an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Can you beat the computer in the challenging strategy game?
Match the cards of the same value.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
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!
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?
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
A group of interactive resources to support work on percentages Key Stage 4.
Use an Excel spreadsheet to explore long multiplication.
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.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Use Excel to investigate the effect of translations around a number grid.
A collection of resources to support work on Factors and Multiples at Secondary level.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?
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 and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .