This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
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?
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?
An Excel spreadsheet with an investigation.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use an Excel spreadsheet to explore long multiplication.
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?
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.
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?
A tool for generating random integers.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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
Here is a chance to play a fractions version of the classic
Match pairs of cards so that they have equivalent ratios.
A metal puzzle which led to some mathematical questions.
An environment that enables you to investigate tessellations of
An environment for exploring the properties of small groups.
A mathematically themed crossword.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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. . . .
Play a more cerebral countdown using complex numbers.
Use Excel to practise adding and subtracting fractions.
Match the cards of the same value.
Play countdown with vectors.
Use Excel to explore multiplication of fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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 simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to investigate factors and
What is the quickest route across a ploughed field when your speed
around the edge is greater?
Use an interactive Excel spreadsheet to explore number in this
A group of interactive resources to support work on percentages Key
Use Excel to investigate the effect of translations around a number
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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 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.
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
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.
Practise your skills of proportional reasoning with this interactive haemocytometer.
Play countdown with matrices
A weekly challenge concerning prime numbers.
The classic vector racing game brought to a screen near you.