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?
A mathematically themed crossword.
Play a more cerebral countdown using complex numbers.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
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 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
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A tool for generating random integers.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
The classic vector racing game brought to a screen near you.
A metal puzzle which led to some mathematical questions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An environment that enables you to investigate tessellations of
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 resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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.
How good are you at finding the formula for a number pattern ?
Match pairs of cards so that they have equivalent ratios.
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 group of interactive resources to support work on percentages Key
Play countdown with matrices
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
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Play countdown with vectors.
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. . . .
A collection of resources to support work on Factors and Multiples at Secondary level.
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.
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
Square It game for an adult and child. Can you come up with a way of always winning this game?
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?
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?
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?
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
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. . . .
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Show that for any triangle it is always possible to construct 3
touching circles with centres at the vertices. Is it possible to
construct touching circles centred at the vertices of any polygon?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?