Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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?
Find the vertices of a pentagon given the midpoints of its sides.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Can you beat the computer in the challenging strategy game?
Can you discover whether this is a fair 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
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. . . .
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.
A group of interactive resources to support work on percentages Key
A collection of resources to support work on Factors and Multiples at Secondary level.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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 interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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?
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 give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
Discover a handy way to describe reorderings and solve our anagram
in the process.
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?
Use Excel to investigate the effect of translations around a number
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.
An environment that enables you to investigate tessellations of
Match pairs of cards so that they have equivalent ratios.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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 metal puzzle which led to some mathematical questions.
Cellular is an animation that helps you make geometric sequences composed of square cells.
Use an interactive Excel spreadsheet to explore number in this
A tool for generating random integers.
Here is a chance to play a fractions version of the classic
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A collection of our favourite pictorial problems, one for each day
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An Excel spreadsheet with an investigation.
The classic vector racing game brought to a screen near you.
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. . . .
Use an interactive Excel spreadsheet to investigate factors and
Match the cards of the same value.
Use an Excel spreadsheet to explore long multiplication.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Square It game for an adult and child. Can you come up with a way of always winning this game?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use Excel to practise adding and subtracting fractions.
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.