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.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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.
A tool for generating random integers.
A mathematically themed crossword.
Match pairs of cards so that they have equivalent ratios.
Match the cards of the same value.
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?
A metal puzzle which led to some mathematical questions.
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 collection of our favourite pictorial problems, one for each day of Advent.
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.
Play countdown with vectors.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
Play countdown with matrices
Discover a handy way to describe reorderings and solve our anagram in the process.
Can you locate these values on this interactive logarithmic scale?
An environment that enables you to investigate tessellations of regular polygons
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. . . .
How good are you at estimating angles?
Can you beat the computer in the challenging strategy game?
Use Excel to explore multiplication of fractions.
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 an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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.
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?
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?
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?
Use an interactive Excel spreadsheet to explore number in this exciting game!
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. . . .
A weekly challenge concerning prime numbers.
Play a more cerebral countdown using complex numbers.
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 simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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!
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.
To avoid losing think of another very well known game where the patterns of play are similar.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
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.
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and multiples.