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?

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?

A metal puzzle which led to some mathematical questions.

Use an interactive Excel spreadsheet to investigate factors and multiples.

Use Excel to practise adding and subtracting fractions.

This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.

Use an Excel spreadsheet to explore long multiplication.

An Excel spreadsheet with an investigation.

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

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

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

This resources contains a series of interactivities designed to support work on transformations at Key Stage 4.

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

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

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?

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

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

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?

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.

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?

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

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

Use Excel to explore multiplication of fractions.

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

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

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.

Explore displacement/time and velocity/time graphs with this mouse motion sensor.

Match pairs of cards so that they have equivalent ratios.

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

An environment that enables you to investigate tessellations of regular polygons

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?

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

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.

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

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

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

This resource contains interactive problems to support work on number sequences at Key Stage 4.

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

Can you break down this conversion process into logical steps?

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

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.

Practise your skills of proportional reasoning with this interactive haemocytometer.

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

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. . . .

Prove Pythagoras' Theorem using enlargements and scale factors.