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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this
How good are you at finding the formula for a number pattern ?
Investigate how logic gates work in circuits.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
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?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Match pairs of cards so that they have equivalent ratios.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use Excel to practise adding and subtracting fractions.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Have you seen this way of doing multiplication ?
A collection of our favourite pictorial problems, one for each day
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Here is a chance to play a fractions version of the classic
The classic vector racing game brought to a screen near you.
An Excel spreadsheet with an investigation.
A tool for generating random integers.
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.
Match the cards of the same value.
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
A metal puzzle which led to some mathematical questions.
Discover a handy way to describe reorderings and solve our anagram
in the process.
Practise your skills of proportional reasoning with this interactive haemocytometer.
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. . . .
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 beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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?
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 opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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. . . .
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .