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