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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
An Excel spreadsheet with an investigation.
Here is a chance to play a fractions version of the classic
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A collection of our favourite pictorial problems, one for each day
Use Excel to practise adding and subtracting fractions.
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 interactive Excel spreadsheet to explore number in this
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
A tool for generating random integers.
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?
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?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An environment that enables you to investigate tessellations of
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
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.
Have you seen this way of doing multiplication ?
A group of interactive resources to support work on percentages Key
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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. . . .
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
A metal puzzle which led to some mathematical questions.
Discover a handy way to describe reorderings and solve our anagram
in the process.
The classic vector racing game brought to a screen near you.
Practise your skills of proportional reasoning with this interactive haemocytometer.
in how many ways can you place the numbers 1, 2, 3 … 9 in the
nine regions of the Olympic Emblem (5 overlapping circles) so that
the amount in each ring is the same?
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. . . .
Prove Pythagoras' Theorem using enlargements and scale factors.
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
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?
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 the computer in the challenging strategy game?