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?

This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.

Match pairs of cards so that they have equivalent ratios.

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"

Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?

Use an interactive Excel spreadsheet to investigate factors and multiples.

A collection of our favourite pictorial problems, one for each day of Advent.

Use Excel to practise adding and subtracting fractions.

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

An environment that enables you to investigate tessellations of regular polygons

Use Excel to explore multiplication of fractions.

A metal puzzle which led to some mathematical questions.

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.

Use Excel to investigate the effect of translations around a number grid.

Use an interactive Excel spreadsheet to explore number in this exciting game!

Here is a chance to play a fractions version of the classic Countdown Game.

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?

The classic vector racing game brought to a screen near you.

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

Match the cards of the same value.

A tool for generating random integers.

How good are you at finding the formula for a number pattern ?

Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.

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?

To avoid losing think of another very well known game where the patterns of play are similar.

Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

Practise your skills of proportional reasoning with this interactive haemocytometer.

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.

Can you beat the computer in the challenging strategy game?

A collection of resources to support work on Factors and Multiples at Secondary level.

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?

An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.

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. . . .

An Excel spreadsheet with an investigation.

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 spreadsheet to explore long multiplication.

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. . . .

Discover a handy way to describe reorderings and solve our anagram in the process.

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 group of interactive resources to support work on percentages Key Stage 4.

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

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?

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.

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?

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 set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.