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?
A metal puzzle which led to some mathematical questions.
Find the vertices of a pentagon given the midpoints of its sides.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Can you beat the computer in the challenging strategy game?
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
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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 discover whether this is a fair game?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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 resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
A collection of resources to support work on Factors and Multiples at Secondary level.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
Use Excel to explore multiplication of fractions.
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
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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. . . .
An environment that enables you to investigate tessellations of
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.
Discover a handy way to describe reorderings and solve our anagram
in the process.
Match pairs of cards so that they have equivalent ratios.
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Cellular is an animation that helps you make geometric sequences composed of square cells.
Here is a chance to play a fractions version of the classic
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
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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 collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
Square It game for an adult and child. Can you come up with a way of always winning this game?
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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. . . .
The classic vector racing game brought to a screen near you.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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
An Excel spreadsheet with an investigation.
How good are you at finding the formula for a number pattern ?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.