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 a more cerebral countdown using complex numbers.
Use Excel to investigate the effect of translations around a number
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
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
A tool for generating random integers.
Use Excel to explore multiplication of fractions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
Use an interactive Excel spreadsheet to investigate factors and
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 game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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 mathematically themed crossword.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
An environment that enables you to investigate tessellations of
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.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
How good are you at finding the formula for a number pattern ?
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 metal puzzle which led to some mathematical questions.
The classic vector racing game brought to a screen near you.
Play countdown with matrices
Match the cards of the same value.
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Can you locate these values on this interactive logarithmic scale?
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?
Play countdown with vectors.
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
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?
Can you beat the computer in the challenging strategy game?
To avoid losing think of another very well known game where the
patterns of play are similar.
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. . . .
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being
visible at any one time. Is it possible to reorganise these cubes
so that by dipping the large cube into a pot of paint three times
you. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
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?
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.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
A collection of resources to support work on Factors and Multiples at Secondary level.