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?
A metal puzzle which led to some mathematical questions.
To avoid losing think of another very well known game where the
patterns of play are similar.
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
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?
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!
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
A group of interactive resources to support work on percentages Key
Use an interactive Excel spreadsheet to explore number in this
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"
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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.
Use Excel to explore multiplication of fractions.
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 Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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
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. . . .
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.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Match the cards of the same value.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A tool for generating random integers.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use an Excel spreadsheet to explore long multiplication.
A collection of our favourite pictorial problems, one for each day
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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
Use an interactive Excel spreadsheet to investigate factors and
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.
An environment that enables you to investigate tessellations of
Discover a handy way to describe reorderings and solve our anagram
in the process.
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 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. . . .
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.
The classic vector racing game brought to a screen near you.
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?
Here is a chance to play a fractions version of the classic
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
A collection of resources to support work on Factors and Multiples at Secondary level.
Practise your skills of proportional reasoning with this interactive haemocytometer.
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?