Take any parallelogram and draw squares on the sides of the parallelogram. What can you prove about the quadrilateral formed by joining the centres of these squares?

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?

Match pairs of cards so that they have equivalent ratios.

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

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

How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with the solutions x and y being integers? Read this article to find out.

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.

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

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?

Give your further pure mathematics skills a workout with this interactive and reusable set of activities.

Use Excel to explore multiplication of fractions.

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?

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.

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

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

Use Excel to practise adding and subtracting fractions.

Use an Excel spreadsheet to explore long multiplication.

An Excel spreadsheet with an investigation.

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

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

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.

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

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

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

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

Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.

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.

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Can you locate these values on this interactive logarithmic scale?

Cellular is an animation that helps you make geometric sequences composed of square cells.

Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over... You win if all your cards end up in the trays before you run out of cards in. . . .

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

Practise your skills of proportional reasoning with this interactive haemocytometer.

Six circles around a central circle make a flower. Watch the flower as you change the radii in this circle packing. Prove that with the given ratios of the radii the petals touch and fit perfectly.

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.

Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!

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. . . .

A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?

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

It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

Can you beat the computer in the challenging strategy game?