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.
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.
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
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?
To avoid losing think of another very well known game where the
patterns of play are similar.
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
Cellular is an animation that helps you make geometric sequences composed of square cells.
Can you beat the computer in the challenging strategy 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. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
The classic vector racing game brought to a screen near you.
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.
Play countdown with matrices
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.
Use Excel to explore multiplication of fractions.
Discover a handy way to describe reorderings and solve our anagram
in the process.
An environment that enables you to investigate tessellations of
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.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
A weekly challenge concerning prime numbers.
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
How good are you at finding the formula for a number pattern ?
A metal puzzle which led to some mathematical questions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Can you locate these values on this interactive logarithmic scale?
A collection of our favourite pictorial problems, one for each day
Can you work through these direct proofs, using our interactive
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.
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?
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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
A tool for generating random integers.
Here is a chance to play a fractions version of the classic
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?
A collection of resources to support work on Factors and Multiples at Secondary level.
A group of interactive resources to support work on percentages Key
Use Excel to investigate the effect of translations around a number
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!
Can you discover whether this is a fair game?
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
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
An Excel spreadsheet with an investigation.
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.