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.
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?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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
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?
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. . . .
To avoid losing think of another very well known game where the
patterns of play are similar.
Use Excel to explore multiplication of fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
An environment that enables you to investigate tessellations of
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. . . .
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.
Discover a handy way to describe reorderings and solve our anagram
in the process.
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.
A weekly challenge concerning prime numbers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A tool for generating random integers.
Play countdown with matrices
The classic vector racing game brought to a screen near you.
Square It game for an adult and child. Can you come up with a way of always winning this 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 collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
Match the cards of the same value.
Match pairs of cards so that they have equivalent ratios.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
How good are you at finding the formula for a number pattern ?
Can you locate these values on this interactive logarithmic scale?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Can you beat the computer in the challenging strategy game?
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 practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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 an Excel spreadsheet to explore long multiplication.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
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.
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.
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