Cellular is an animation that helps you make geometric sequences composed of square cells.
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?
This is an interactivity in which you have to sort into the correct
order the steps in the proof of the formula for the sum of a
To avoid losing think of another very well known game where the
patterns of play are similar.
A weekly challenge concerning prime numbers.
Can you beat the computer in the challenging strategy game?
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.
Square It game for an adult and child. Can you come up with a way of always winning this game?
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.
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. . . .
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
The classic vector racing game brought to a screen near you.
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?
Use Excel to explore multiplication of fractions.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
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?
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. . . .
Use this interactivity to sort out the steps of the proof of the formula for the sum of an arithmetic series. The 'thermometer' will tell you how you are doing
With red and blue beads on a circular wire; 'put a red bead between
any two of the same colour and a blue between different colours
then remove the original beads'. Keep repeating this. What happens?
Can you work through these direct proofs, using our interactive
Practise your skills of proportional reasoning with this interactive haemocytometer.
Can you locate these values on this interactive logarithmic scale?
Play countdown with matrices
Here is a chance to play a fractions version of the classic
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
A metal puzzle which led to some mathematical questions.
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?
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. . . .
An environment that enables you to investigate tessellations of
Make and prove a conjecture about the cyclic quadrilateral
inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Match the cards of the same value.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
A collection of resources to support work on Factors and Multiples at Secondary level.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A mathematically themed crossword.
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
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.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.