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?
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!
Match pairs of cards so that they have equivalent ratios.
An environment that enables you to investigate tessellations of regular polygons
Discover a handy way to describe reorderings and solve our anagram in the process.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A collection of resources to support work on Factors and Multiples at Secondary level.
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 Excel to investigate the effect of translations around a number grid.
A group of interactive resources to support work on percentages Key Stage 4.
A metal puzzle which led to some mathematical questions.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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?
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.
To avoid losing think of another very well known game where the patterns of play are similar.
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 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 explore multiplication of fractions.
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.
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. . . .
Prove Pythagoras' Theorem using enlargements and scale factors.
Use an Excel spreadsheet to explore long multiplication.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
The classic vector racing game brought to a screen near you.
A collection of our favourite pictorial problems, one for each day of Advent.
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.
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?
How good are you at estimating angles?
A tool for generating random integers.
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.
An Excel spreadsheet with an investigation.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
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.
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.
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?
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 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.
Have you seen this way of doing multiplication ?
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 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. . . .
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.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?