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?
A metal puzzle which led to some mathematical questions.
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?
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. . . .
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.
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?
Can you beat the computer in the challenging strategy game?
Use Excel to explore multiplication of fractions.
An environment that enables you to investigate tessellations of
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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?
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 Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Play countdown with vectors.
Play a more cerebral countdown using complex numbers.
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 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.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
Can you locate these values on this interactive logarithmic scale?
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
Match the cards of the same value.
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?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A group of interactive resources to support work on percentages Key
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.
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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
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!