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?
Play a more cerebral countdown using complex numbers.
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?
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?
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?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use Excel to investigate the effect of translations around a number
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 interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use an Excel spreadsheet to explore long multiplication.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Use an interactive Excel spreadsheet to explore number in this
A tool for generating random integers.
Use an interactive Excel spreadsheet to investigate factors and
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Play countdown with matrices
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
An environment that enables you to investigate tessellations of
Match pairs of cards so that they have equivalent ratios.
An environment for exploring the properties of small groups.
The classic vector racing game brought to a screen near you.
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.
Play countdown with vectors.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
How good are you at finding the formula for a number pattern ?
Rotate a copy of the trapezium about the centre of the longest side
of the blue triangle to make a square. Find the area of the square
and then derive a formula for the area of the trapezium.
A metal puzzle which led to some mathematical questions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Match the cards of the same value.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A group of interactive resources to support work on percentages Key
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 mathematically themed crossword.
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
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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. . . .
Investigate how logic gates work in circuits.
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.