Play a more cerebral countdown using complex numbers.
Play countdown with matrices
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?
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 resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A mathematically themed crossword.
Use Excel to explore multiplication of fractions.
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.
How good are you at finding the formula for a number pattern ?
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
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?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A tool for generating random integers.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
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.
Use an interactive Excel spreadsheet to explore number in this
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.
Use Excel to practise adding and subtracting fractions.
The classic vector racing game brought to a screen near you.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
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. . . .
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. . . .
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.
A point P is selected anywhere inside an equilateral triangle. What
can you say about the sum of the perpendicular distances from P to
the sides of the triangle? Can you prove your conjecture?
A spherical balloon lies inside a wire frame. How much do you need
to deflate it to remove it from the frame if it remains a sphere?
This is an interactivity in which you have to sort the steps in the
completion of the square into the correct order to prove the
formula for the solutions of quadratic equations.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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
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.
P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
Have you seen this way of doing multiplication ?
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.
Match the cards of the same value.
Can you work out which spinners were used to generate the frequency charts?
Balancing interactivity with springs and weights.