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?
To avoid losing think of another very well known game where the
patterns of play are similar.
Find the vertices of a pentagon given the midpoints of its sides.
Prove Pythagoras Theorem using enlargements and scale factors.
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.
Can you discover whether this is a fair game?
Use Excel to investigate the effect of translations around a number
Square It game for an adult and child. Can you come up with a way of always winning this 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
The classic vector racing game brought to a screen near you.
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. . . .
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 group of interactive resources to support work on percentages Key
A collection of resources to support work on Factors and Multiples at Secondary level.
Match pairs of cards so that they have equivalent ratios.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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. . . .
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?
Use Excel to explore multiplication of fractions.
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?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Use an interactive Excel spreadsheet to explore number in this
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
How good are you at finding the formula for a number pattern ?
Can you beat the computer in the challenging strategy game?
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.
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 simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A metal puzzle which led to some mathematical questions.
Match the cards of the same value.
A tool for generating random integers.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an Excel spreadsheet to explore long multiplication.
A collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
Use Excel to practise adding and subtracting fractions.
A point P is selected anywhere inside an equilateral triangle. What
can you say about the sum of the perpendicular distances from P to
the sides of the triangle? Can you prove your conjecture?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.