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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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?
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.
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?
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
A metal puzzle which led to some mathematical questions.
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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. . . .
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
A collection of resources to support work on Factors and Multiples at Secondary level.
Use Excel to investigate the effect of translations around a number
The classic vector racing game brought to a screen near you.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
An environment that enables you to investigate tessellations of
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Use Excel to explore multiplication of fractions.
Match pairs of cards so that they have equivalent ratios.
Use an Excel spreadsheet to explore long multiplication.
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 resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Can you discover whether this is a fair game?
A group of interactive resources to support work on percentages Key
A collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
Match the cards of the same value.
Can you beat the computer in the challenging strategy game?
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.
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.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
How good are you at finding the formula for a number pattern ?
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?
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.
An Excel spreadsheet with an investigation.
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. . . .
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 Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
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.
Practise your skills of proportional reasoning with this interactive haemocytometer.
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?
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.
We can show that (x + 1)² = x² + 2x + 1 by considering
the area of an (x + 1) by (x + 1) square. Show in a similar way
that (x + 2)² = x² + 4x + 4