Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Match pairs of cards so that they have equivalent ratios.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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?
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
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.
A collection of our favourite pictorial problems, one for each day of Advent.
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.
Match the cards of the same value.
To avoid losing think of another very well known game where the patterns of play are similar.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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 rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
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. . . .
An environment that enables you to investigate tessellations of regular polygons
The classic vector racing game brought to a screen near you.
How good are you at estimating angles?
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
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?
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!
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use Excel to explore multiplication of fractions.
Use an Excel spreadsheet to explore long multiplication.
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 Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
An Excel spreadsheet with an investigation.
Here is a chance to play a fractions version of the classic Countdown Game.
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.
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
A group of interactive resources to support work on percentages Key Stage 4.
An animation that helps you understand the game of Nim.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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. . . .
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.
Can you explain the strategy for winning this game with any target?