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?
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.
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?
To avoid losing think of another very well known game where the
patterns of play are similar.
A metal puzzle which led to some mathematical questions.
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
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A collection of resources to support work on Factors and Multiples at Secondary level.
Match the cards of the same value.
Use Excel to investigate the effect of translations around a number
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use an interactive Excel spreadsheet to explore number in this
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!
A group of interactive resources to support work on percentages Key
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?
An environment that enables you to investigate tessellations of
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Match pairs of cards so that they have equivalent ratios.
Discover a handy way to describe reorderings and solve our anagram
in the process.
Can you discover whether this is a fair game?
Use Excel to explore multiplication of fractions.
Use an Excel spreadsheet to explore long multiplication.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Can you beat the computer in the challenging strategy game?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
The classic vector racing game brought to a screen near you.
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. . . .
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
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.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
A collection of our favourite pictorial problems, one for each day
Practise your skills of proportional reasoning with this interactive haemocytometer.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
How good are you at estimating angles?
Use Excel to practise adding and subtracting fractions.
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 an interactive Excel spreadsheet to investigate factors and
How good are you at finding the formula for a number pattern ?
Here is a chance to play a fractions version of the classic
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. . . .
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.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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. . . .
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?