Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

Match pairs of cards so that they have equivalent ratios.

A metal puzzle which led to some mathematical questions.

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

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. . . .

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

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?

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?

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?

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

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

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!

We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4

What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?

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. . . .

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

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

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

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

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.

An environment that enables you to investigate tessellations of regular polygons

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

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

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

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

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 Excel to explore multiplication of fractions.

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

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

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.

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

Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?

A tool for generating random integers.

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. . . .

Can you beat the computer in the challenging strategy game?

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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

Square It game for an adult and child. Can you come up with a way of always winning this game?

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.

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 spreadsheet to explore long multiplication.

Use an interactive Excel spreadsheet to investigate factors and multiples.

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

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

Use Excel to practise adding and subtracting fractions.

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

An Excel spreadsheet with an investigation.