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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
An environment that enables you to investigate tessellations of
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
A group of interactive resources to support work on percentages Key
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use Excel to explore multiplication of fractions.
A metal puzzle which led to some mathematical questions.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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?
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?
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 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. . . .
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?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Prove Pythagoras' Theorem using enlargements and scale factors.
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
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.
Use Excel to practise adding and subtracting fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to investigate factors and
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
Match the cards of the same value.
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
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. . . .
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Discover a handy way to describe reorderings and solve our anagram
in the process.
An animation that helps you understand the game of Nim.
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Can you beat the computer in the challenging strategy 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?
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?
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
To avoid losing think of another very well known game where the
patterns of play are similar.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Do you know how to find the area of a triangle? You can count the
squares. What happens if we turn the triangle on end? Press the
button and see. Try counting the number of units in the triangle
now. . . .
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.
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. . . .
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. . . .