An environment for exploring the properties of small groups.
Discover a handy way to describe reorderings and solve our anagram
in the process.
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?
An environment that enables you to investigate tessellations of
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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?
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?
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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Match pairs of cards so that they have equivalent ratios.
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 collection of our favourite pictorial problems, one for each day
A mathematically themed crossword.
Try to move the knight to visit each square once and return to the starting point on this unusual chessboard.
Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over...
You win if all your cards end up in the trays before you run out of cards in. . . .
A counter is placed in the bottom right hand corner of a grid. You
toss a coin and move the star according to the following rules: ...
What is the probability that you end up in the top left-hand. . . .
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Balancing interactivity with springs and weights.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Play a more cerebral countdown using complex numbers.
Use Excel to investigate the effect of translations around a number
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
A tool for generating random integers.
Use Excel to practise adding and subtracting fractions.
A group of interactive resources to support work on percentages Key
Use an interactive Excel spreadsheet to explore number in this
The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
A collection of resources to support work on Factors and Multiples at Secondary level.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .
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. . . .
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
The classic vector racing game brought to a screen near you.
Play countdown with matrices
It is possible to identify a particular card out of a pack of 15
with the use of some mathematical reasoning. What is this reasoning
and can it be applied to other numbers of cards?
Play countdown with vectors.
How good are you at finding the formula for a number pattern ?
Match the cards of the same value.
A game in which players take it in turns to choose a number. Can you block your opponent?