This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
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?
Play countdown with vectors.
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?
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Match pairs of cards so that they have equivalent ratios.
A collection of our favourite pictorial problems, one for each day
Play countdown with matrices
Play a more cerebral countdown using complex numbers.
A group of interactive resources to support work on percentages Key
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
A tool for generating random integers.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use an interactive Excel spreadsheet to explore number in this
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
An environment that enables you to investigate tessellations of
An environment for exploring the properties of small groups.
Use Excel to explore multiplication of fractions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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 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 simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A mathematically themed crossword.
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use Excel to investigate the effect of translations around a number
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. . . .
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
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?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Here is a chance to play a fractions version of the classic
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. . . .
To avoid losing think of another very well known game where the
patterns of play are similar.
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.
Match the cards of the same value.
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 metal puzzle which led to some mathematical questions.
How good are you at finding the formula for a number pattern ?
Can you locate these values on this interactive logarithmic scale?
Can you beat the computer in the challenging strategy game?
Practise your skills of proportional reasoning with this interactive haemocytometer.