Take any parallelogram and draw squares on the sides of the
parallelogram. What can you prove about the quadrilateral formed by
joining the centres of these squares?
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?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A collection of our favourite pictorial problems, one for each day
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A mathematically themed crossword.
Use Excel to investigate the effect of translations around a number
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use Excel to explore multiplication of fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Here is a chance to play a fractions version of the classic
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use an Excel spreadsheet to explore long multiplication.
A tool for generating random integers.
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use Excel to practise adding and subtracting fractions.
Match pairs of cards so that they have equivalent ratios.
The classic vector racing game brought to a screen near you.
Play countdown with matrices
Play countdown with vectors.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
A metal puzzle which led to some mathematical questions.
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?
To avoid losing think of another very well known game where the
patterns of play are similar.
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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Make and prove a conjecture about the cyclic quadrilateral
inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
An environment that enables you to investigate tessellations of
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?
Play a more cerebral countdown using complex numbers.
A group of interactive resources to support work on percentages Key
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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.
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
A collection of resources to support work on Factors and Multiples at Secondary level.
Match the cards of the same value.
A weekly challenge concerning prime numbers.
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.
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 beat the computer in the challenging strategy game?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
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 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?